\documentclass{article} \usepackage{axiom} \setlength{\textwidth}{400pt} \begin{document} \title{\$SPAD/src/input richexponential.input} \author{Albert Rich and Timothy Daly} \maketitle \begin{abstract} \end{abstract} \eject \tableofcontents \eject \begin{chunk}{*} )set break resume )sys rm -f richexponential.output )spool richexponential.output )set message auto off )clear all --S 1 of 578 t0000:= exp(1)^(a+b*x)/x --R --R --R b x + a --R %e --R (1) --------- --R x --R Type: Expression(Integer) --E 1 --S 2 of 578 r0000:= exp(a)*Ei(b*x) --R --R --R a --R (2) Ei(b x)%e --R Type: Expression(Integer) --E 2 --S 3 of 578 a0000:= integrate(t0000,x) --R --R --R x %A b + a --R ++ %e --R (3) | ---------- d%A --R ++ %A --R Type: Union(Expression(Integer),...) --E 3 --S 4 of 578 m0000:= a0000-r0000 --R --R --R x %A b + a --R ++ %e a --R (4) | ---------- d%A - Ei(b x)%e --R ++ %A --R Type: Expression(Integer) --E 4 --S 5 of 578 d0000:= D(m0000,x) --R --R --R b x + a a b x --R %e - %e %e --R (5) -------------------- --R x --R Type: Expression(Integer) --E 5 --S 6 of 578 t0001:= x^3*exp((a+b*x)^3) --R --R --R 3 3 2 2 2 3 --R 3 b x + 3a b x + 3a b x + a --R (6) x %e --R Type: Expression(Integer) --E 6 --S 7 of 578 r0001:= -2/3*a*exp((a+b*x)^3)/b^4+1/3*exp((a+b*x)^3)*x/b^3+_ 1/9*(1+3*a^3)*(a+b*x)*Gamma(1/3,-(a+b*x)^3)/b^4/(-(a+b*x)^3)^(1/3)_ -a^2*(a+b*x)^2*Gamma(2/3,-(a+b*x)^3)/b^4/(-(a+b*x)^3)^(2/3) --R --R --R (7) --R 3 3 2 2 2 3 --R b x + 3a b x + 3a b x + a --R (3b x - 6a)%e --R * --R +------------------------------+2 --R 3| 3 3 2 2 2 3 --R \|- b x - 3a b x - 3a b x - a --R + --R 3 4 _ 1 3 3 2 2 2 3 --R ((3a + 1)b x + 3a + a)| (-,- b x - 3a b x - 3a b x - a ) --R 3 --R * --R +------------------------------+ --R 3| 3 3 2 2 2 3 --R \|- b x - 3a b x - 3a b x - a --R + --R 2 2 2 3 4 _ 2 3 3 2 2 2 3 --R (- 9a b x - 18a b x - 9a )| (-,- b x - 3a b x - 3a b x - a ) --R 3 --R / --R +------------------------------+2 --R 4 3| 3 3 2 2 2 3 --R 9b \|- b x - 3a b x - 3a b x - a --R Type: Expression(Integer) --E 7 --S 8 of 578 a0001:= integrate(t0001,x) --R --R --R x 3 3 2 2 2 3 --R ++ 3 %A b + 3%A a b + 3%A a b + a --R (8) | %A %e d%A --R ++ --R Type: Union(Expression(Integer),...) --E 8 --S 9 of 578 m0001:= a0001-r0001 --R --R --R (9) --R +------------------------------+2 --R 4 3| 3 3 2 2 2 3 --R 9b \|- b x - 3a b x - 3a b x - a --R * --R x 3 3 2 2 2 3 --R ++ 3 %A b + 3%A a b + 3%A a b + a --R | %A %e d%A --R ++ --R + --R 3 3 2 2 2 3 --R b x + 3a b x + 3a b x + a --R (- 3b x + 6a)%e --R * --R +------------------------------+2 --R 3| 3 3 2 2 2 3 --R \|- b x - 3a b x - 3a b x - a --R + --R 3 4 _ 1 3 3 2 2 2 3 --R ((- 3a - 1)b x - 3a - a)| (-,- b x - 3a b x - 3a b x - a ) --R 3 --R * --R +------------------------------+ --R 3| 3 3 2 2 2 3 --R \|- b x - 3a b x - 3a b x - a --R + --R 2 2 2 3 4 _ 2 3 3 2 2 2 3 --R (9a b x + 18a b x + 9a )| (-,- b x - 3a b x - 3a b x - a ) --R 3 --R / --R +------------------------------+2 --R 4 3| 3 3 2 2 2 3 --R 9b \|- b x - 3a b x - 3a b x - a --R Type: Expression(Integer) --E 9 --S 10 of 578 d0001:= D(m0001,x) --R --R --R (10) 0 --R Type: Expression(Integer) --E 10 --S 11 of 578 t0002:= x^2*exp((a+b*x)^3) --R --R --R 3 3 2 2 2 3 --R 2 b x + 3a b x + 3a b x + a --R (11) x %e --R Type: Expression(Integer) --E 11 --S 12 of 578 r0002:= 1/3*exp((a+b*x)^3)/b^3-1/3*a^2*(a+b*x)*_ Gamma(1/3,-(a+b*x)^3)/b^3/(-(a+b*x)^3)^(1/3)+2/3*a*(a+b*x)^2*_ Gamma(2/3,-(a+b*x)^3)/b^3/(-(a+b*x)^3)^(2/3) --R --R --R (12) --R 3 3 2 2 2 3 +------------------------------+2 --R b x + 3a b x + 3a b x + a 3| 3 3 2 2 2 3 --R %e \|- b x - 3a b x - 3a b x - a --R + --R 2 3 _ 1 3 3 2 2 2 3 --R (- a b x - a )| (-,- b x - 3a b x - 3a b x - a ) --R 3 --R * --R +------------------------------+ --R 3| 3 3 2 2 2 3 --R \|- b x - 3a b x - 3a b x - a --R + --R 2 2 2 3 _ 2 3 3 2 2 2 3 --R (2a b x + 4a b x + 2a )| (-,- b x - 3a b x - 3a b x - a ) --R 3 --R / --R +------------------------------+2 --R 3 3| 3 3 2 2 2 3 --R 3b \|- b x - 3a b x - 3a b x - a --R Type: Expression(Integer) --E 12 --S 13 of 578 a0002:= integrate(t0002,x) --R --R --R x 3 3 2 2 2 3 --R ++ 2 %A b + 3%A a b + 3%A a b + a --R (13) | %A %e d%A --R ++ --R Type: Union(Expression(Integer),...) --E 13 --S 14 of 578 m0002:= a0002-r0002 --R --R --R (14) --R +------------------------------+2 --R 3 3| 3 3 2 2 2 3 --R 3b \|- b x - 3a b x - 3a b x - a --R * --R x 3 3 2 2 2 3 --R ++ 2 %A b + 3%A a b + 3%A a b + a --R | %A %e d%A --R ++ --R + --R 3 3 2 2 2 3 +------------------------------+2 --R b x + 3a b x + 3a b x + a 3| 3 3 2 2 2 3 --R - %e \|- b x - 3a b x - 3a b x - a --R + --R 2 3 _ 1 3 3 2 2 2 3 --R (a b x + a )| (-,- b x - 3a b x - 3a b x - a ) --R 3 --R * --R +------------------------------+ --R 3| 3 3 2 2 2 3 --R \|- b x - 3a b x - 3a b x - a --R + --R 2 2 2 3 _ 2 3 3 2 2 2 3 --R (- 2a b x - 4a b x - 2a )| (-,- b x - 3a b x - 3a b x - a ) --R 3 --R / --R +------------------------------+2 --R 3 3| 3 3 2 2 2 3 --R 3b \|- b x - 3a b x - 3a b x - a --R Type: Expression(Integer) --E 14 --S 15 of 578 d0002:= D(m0002,x) --R --R --R (15) 0 --R Type: Expression(Integer) --E 15 --S 16 of 578 t0003:= x*exp((a+b*x)^3) --R --R --R 3 3 2 2 2 3 --R b x + 3a b x + 3a b x + a --R (16) x %e --R Type: Expression(Integer) --E 16 --S 17 of 578 r0003:= 1/3*a*(a+b*x)*_ Gamma(1/3,-(a+b*x)^3)/b^2/(-(a+b*x)^3)^(1/3)-1/3*(a+b*x)^2*_ Gamma(2/3,-(a+b*x)^3)/b^2/(-(a+b*x)^3)^(2/3) --R --R --R (17) --R 2 _ 1 3 3 2 2 2 3 --R (a b x + a )| (-,- b x - 3a b x - 3a b x - a ) --R 3 --R * --R +------------------------------+ --R 3| 3 3 2 2 2 3 --R \|- b x - 3a b x - 3a b x - a --R + --R 2 2 2 _ 2 3 3 2 2 2 3 --R (- b x - 2a b x - a )| (-,- b x - 3a b x - 3a b x - a ) --R 3 --R / --R +------------------------------+2 --R 2 3| 3 3 2 2 2 3 --R 3b \|- b x - 3a b x - 3a b x - a --R Type: Expression(Integer) --E 17 --S 18 of 578 a0003:= integrate(t0003,x) --R --R --R x 3 3 2 2 2 3 --R ++ %A b + 3%A a b + 3%A a b + a --R (18) | %A %e d%A --R ++ --R Type: Union(Expression(Integer),...) --E 18 --S 19 of 578 m0003:= a0003-r0003 --R --R --R (19) --R +------------------------------+2 --R 2 3| 3 3 2 2 2 3 --R 3b \|- b x - 3a b x - 3a b x - a --R * --R x 3 3 2 2 2 3 --R ++ %A b + 3%A a b + 3%A a b + a --R | %A %e d%A --R ++ --R + --R 2 _ 1 3 3 2 2 2 3 --R (- a b x - a )| (-,- b x - 3a b x - 3a b x - a ) --R 3 --R * --R +------------------------------+ --R 3| 3 3 2 2 2 3 --R \|- b x - 3a b x - 3a b x - a --R + --R 2 2 2 _ 2 3 3 2 2 2 3 --R (b x + 2a b x + a )| (-,- b x - 3a b x - 3a b x - a ) --R 3 --R / --R +------------------------------+2 --R 2 3| 3 3 2 2 2 3 --R 3b \|- b x - 3a b x - 3a b x - a --R Type: Expression(Integer) --E 19 --S 20 of 578 d0003:= D(m0003,x) --R --R --R (20) 0 --R Type: Expression(Integer) --E 20 --S 21 of 578 t0004:= exp((a+b*x)^3) --R --R --R 3 3 2 2 2 3 --R b x + 3a b x + 3a b x + a --R (21) %e --R Type: Expression(Integer) --E 21 --S 22 of 578 r0004:= -1/3*(a+b*x)*Gamma(1/3,-(a+b*x)^3)/b/(-(a+b*x)^3)^(1/3) --R --R --R _ 1 3 3 2 2 2 3 --R (- b x - a)| (-,- b x - 3a b x - 3a b x - a ) --R 3 --R (22) ----------------------------------------------- --R +------------------------------+ --R 3| 3 3 2 2 2 3 --R 3b\|- b x - 3a b x - 3a b x - a --R Type: Expression(Integer) --E 22 --S 23 of 578 a0004:= integrate(t0004,x) --R --R --R x 3 3 2 2 2 3 --R ++ %A b + 3%A a b + 3%A a b + a --R (23) | %e d%A --R ++ --R Type: Union(Expression(Integer),...) --E 23 --S 24 of 578 m0004:= a0004-r0004 --R --R --R (24) --R +------------------------------+ --R 3| 3 3 2 2 2 3 --R 3b\|- b x - 3a b x - 3a b x - a --R * --R x 3 3 2 2 2 3 --R ++ %A b + 3%A a b + 3%A a b + a --R | %e d%A --R ++ --R + --R _ 1 3 3 2 2 2 3 --R (b x + a)| (-,- b x - 3a b x - 3a b x - a ) --R 3 --R / --R +------------------------------+ --R 3| 3 3 2 2 2 3 --R 3b\|- b x - 3a b x - 3a b x - a --R Type: Expression(Integer) --E 24 --S 25 of 578 d0004:= D(m0004,x) --R --R --R (25) 0 --R Type: Expression(Integer) --E 25 --S 26 of 578 t0005:= exp(1)^(a+b*x)/(a+b*x) --R --R --R b x + a --R %e --R (26) --------- --R b x + a --R Type: Expression(Integer) --E 26 --S 27 of 578 r0005:= Ei(a+b*x)/b --R --R --R Ei(b x + a) --R (27) ----------- --R b --R Type: Expression(Integer) --E 27 --S 28 of 578 a0005:= integrate(t0005,x) --R --R --R Ei(b x + a) --R (28) ----------- --R b --R Type: Union(Expression(Integer),...) --E 28 --S 29 of 578 m0005:= a0005-r0005 --R --R --R (29) 0 --R Type: Expression(Integer) --E 29 --S 30 of 578 d0005:= D(m0005,x) --R --R --R (30) 0 --R Type: Expression(Integer) --E 30 --S 31 of 578 t0006:= exp((a+b*x)^3)*(a+b*x)^3 --R --R --R 3 3 2 2 2 3 --R 3 3 2 2 2 3 b x + 3a b x + 3a b x + a --R (31) (b x + 3a b x + 3a b x + a )%e --R Type: Expression(Integer) --E 31 --S 32 of 578 r0006:= 1/3*exp((a+b*x)^3)*(a+b*x)/b+1/9*(a+b*x)*_ Gamma(1/3,-(a+b*x)^3)/b/(-(a+b*x)^3)^(1/3) --R --R --R (32) --R 3 3 2 2 2 3 --R b x + 3a b x + 3a b x + a --R (3b x + 3a)%e --R * --R +------------------------------+ --R 3| 3 3 2 2 2 3 --R \|- b x - 3a b x - 3a b x - a --R + --R _ 1 3 3 2 2 2 3 --R (b x + a)| (-,- b x - 3a b x - 3a b x - a ) --R 3 --R / --R +------------------------------+ --R 3| 3 3 2 2 2 3 --R 9b\|- b x - 3a b x - 3a b x - a --R Type: Expression(Integer) --E 32 --S 33 of 578 a0006:= integrate(t0006,x) --R --R --R (33) --R x 3 3 2 2 2 3 --R ++ 3 3 2 2 2 3 %A b + 3%A a b + 3%A a b + a --R | (%A b + 3%A a b + 3%A a b + a )%e d%A --R ++ --R Type: Union(Expression(Integer),...) --E 33 --S 34 of 578 m0006:= a0006-r0006 --R --R --R (34) --R +------------------------------+ --R 3| 3 3 2 2 2 3 --R 9b\|- b x - 3a b x - 3a b x - a --R * --R INTSIGN --R , --R x --R , --R 3 3 2 2 2 3 --R 3 3 2 2 2 3 %A b + 3%A a b + 3%A a b + a --R (%A b + 3%A a b + 3%A a b + a )%e --R * --R d%A --R + --R 3 3 2 2 2 3 --R b x + 3a b x + 3a b x + a --R (- 3b x - 3a)%e --R * --R +------------------------------+ --R 3| 3 3 2 2 2 3 --R \|- b x - 3a b x - 3a b x - a --R + --R _ 1 3 3 2 2 2 3 --R (- b x - a)| (-,- b x - 3a b x - 3a b x - a ) --R 3 --R / --R +------------------------------+ --R 3| 3 3 2 2 2 3 --R 9b\|- b x - 3a b x - 3a b x - a --R Type: Expression(Integer) --E 34 --S 35 of 578 d0006:= D(m0006,x) --R --R --R (35) 0 --R Type: Expression(Integer) --E 35 --S 36 of 578 t0007:= exp((a+b*x)^3)*(a+b*x) --R --R --R 3 3 2 2 2 3 --R b x + 3a b x + 3a b x + a --R (36) (b x + a)%e --R Type: Expression(Integer) --E 36 --S 37 of 578 r0007:= -1/3*(a+b*x)^2*Gamma(2/3,-(a+b*x)^3)/b/(-(a+b*x)^3)^(2/3) --R --R --R 2 2 2 _ 2 3 3 2 2 2 3 --R (- b x - 2a b x - a )| (-,- b x - 3a b x - 3a b x - a ) --R 3 --R (37) ---------------------------------------------------------- --R +------------------------------+2 --R 3| 3 3 2 2 2 3 --R 3b \|- b x - 3a b x - 3a b x - a --R Type: Expression(Integer) --E 37 --S 38 of 578 a0007:= integrate(t0007,x) --R --R --R x 3 3 2 2 2 3 --R ++ %A b + 3%A a b + 3%A a b + a --R (38) | (%A b + a)%e d%A --R ++ --R Type: Union(Expression(Integer),...) --E 38 --S 39 of 578 m0007:= a0007-r0007 --R --R --R (39) --R +------------------------------+2 --R 3| 3 3 2 2 2 3 --R 3b \|- b x - 3a b x - 3a b x - a --R * --R x 3 3 2 2 2 3 --R ++ %A b + 3%A a b + 3%A a b + a --R | (%A b + a)%e d%A --R ++ --R + --R 2 2 2 _ 2 3 3 2 2 2 3 --R (b x + 2a b x + a )| (-,- b x - 3a b x - 3a b x - a ) --R 3 --R / --R +------------------------------+2 --R 3| 3 3 2 2 2 3 --R 3b \|- b x - 3a b x - 3a b x - a --R Type: Expression(Integer) --E 39 --S 40 of 578 d0007:= D(m0007,x) --R --R --R (40) 0 --R Type: Expression(Integer) --E 40 --S 41 of 578 t0008:= exp((a+b*x)^3)/(a+b*x) --R --R --R 3 3 2 2 2 3 --R b x + 3a b x + 3a b x + a --R %e --R (41) ------------------------------ --R b x + a --R Type: Expression(Integer) --E 41 --S 42 of 578 r0008:= 1/3*Ei((a+b*x)^3)/b --R --R --R 3 3 2 2 2 3 --R Ei(b x + 3a b x + 3a b x + a ) --R (42) -------------------------------- --R 3b --R Type: Expression(Integer) --E 42 --S 43 of 578 a0008:= integrate(t0008,x) --R --R --R 3 3 2 2 2 3 --R Ei(b x + 3a b x + 3a b x + a ) --R (43) -------------------------------- --R 3b --R Type: Union(Expression(Integer),...) --E 43 --S 44 of 578 m0008:= a0008-r0008 --R --R --R (44) 0 --R Type: Expression(Integer) --E 44 --S 45 of 578 d0008:= D(m0008,x) --R --R --R (45) 0 --R Type: Expression(Integer) --E 45 --S 46 of 578 t0009:= exp((a+b*x)^3)/(a+b*x)^2 --R --R --R 3 3 2 2 2 3 --R b x + 3a b x + 3a b x + a --R %e --R (46) ------------------------------ --R 2 2 2 --R b x + 2a b x + a --R Type: Expression(Integer) --E 46 --S 47 of 578 r0009:= -exp((a+b*x)^3)/b/(a+b*x)-(a+b*x)^2*_ Gamma(2/3,-(a+b*x)^3)/b/(-(a+b*x)^3)^(2/3) --R --R --R (47) --R 3 3 2 2 2 3 +------------------------------+2 --R b x + 3a b x + 3a b x + a 3| 3 3 2 2 2 3 --R - %e \|- b x - 3a b x - 3a b x - a --R + --R 3 3 2 2 2 3 _ 2 3 3 2 2 2 3 --R (- b x - 3a b x - 3a b x - a )| (-,- b x - 3a b x - 3a b x - a ) --R 3 --R / --R +------------------------------+2 --R 2 3| 3 3 2 2 2 3 --R (b x + a b)\|- b x - 3a b x - 3a b x - a --R Type: Expression(Integer) --E 47 --S 48 of 578 a0009:= integrate(t0009,x) --R --R --R 3 3 2 2 2 3 --R x %A b + 3%A a b + 3%A a b + a --R ++ %e --R (48) | --------------------------------- d%A --R ++ 2 2 2 --R %A b + 2%A a b + a --R Type: Union(Expression(Integer),...) --E 48 --S 49 of 578 m0009:= a0009-r0009 --R --R --R (49) --R +------------------------------+2 --R 2 3| 3 3 2 2 2 3 --R (b x + a b)\|- b x - 3a b x - 3a b x - a --R * --R 3 3 2 2 2 3 --R x %A b + 3%A a b + 3%A a b + a --R ++ %e --R | --------------------------------- d%A --R ++ 2 2 2 --R %A b + 2%A a b + a --R + --R 3 3 2 2 2 3 +------------------------------+2 --R b x + 3a b x + 3a b x + a 3| 3 3 2 2 2 3 --R %e \|- b x - 3a b x - 3a b x - a --R + --R 3 3 2 2 2 3 _ 2 3 3 2 2 2 3 --R (b x + 3a b x + 3a b x + a )| (-,- b x - 3a b x - 3a b x - a ) --R 3 --R / --R +------------------------------+2 --R 2 3| 3 3 2 2 2 3 --R (b x + a b)\|- b x - 3a b x - 3a b x - a --R Type: Expression(Integer) --E 49 --S 50 of 578 d0009:= D(m0009,x) --R --R --R (50) 0 --R Type: Expression(Integer) --E 50 --S 51 of 578 t0010:= exp((a+b*x)^3)/(a+b*x)^3 --R --R --R 3 3 2 2 2 3 --R b x + 3a b x + 3a b x + a --R %e --R (51) ------------------------------ --R 3 3 2 2 2 3 --R b x + 3a b x + 3a b x + a --R Type: Expression(Integer) --E 51 --S 52 of 578 r0010:= -1/2*exp((a+b*x)^3)/b/(a+b*x)^2-1/2*(a+b*x)*_ Gamma(1/3,-(a+b*x)^3)/b/(-(a+b*x)^3)^(1/3) --R --R --R (52) --R 3 3 2 2 2 3 +------------------------------+ --R b x + 3a b x + 3a b x + a 3| 3 3 2 2 2 3 --R - %e \|- b x - 3a b x - 3a b x - a --R + --R 3 3 2 2 2 3 _ 1 3 3 2 2 2 3 --R (- b x - 3a b x - 3a b x - a )| (-,- b x - 3a b x - 3a b x - a ) --R 3 --R / --R +------------------------------+ --R 3 2 2 2 3| 3 3 2 2 2 3 --R (2b x + 4a b x + 2a b)\|- b x - 3a b x - 3a b x - a --R Type: Expression(Integer) --E 52 --S 53 of 578 a0010:= integrate(t0010,x) --R --R --R 3 3 2 2 2 3 --R x %A b + 3%A a b + 3%A a b + a --R ++ %e --R (53) | --------------------------------- d%A --R ++ 3 3 2 2 2 3 --R %A b + 3%A a b + 3%A a b + a --R Type: Union(Expression(Integer),...) --E 53 --S 54 of 578 m0010:= a0010-r0010 --R --R --R (54) --R +------------------------------+ --R 3 2 2 2 3| 3 3 2 2 2 3 --R (2b x + 4a b x + 2a b)\|- b x - 3a b x - 3a b x - a --R * --R 3 3 2 2 2 3 --R x %A b + 3%A a b + 3%A a b + a --R ++ %e --R | --------------------------------- d%A --R ++ 3 3 2 2 2 3 --R %A b + 3%A a b + 3%A a b + a --R + --R 3 3 2 2 2 3 +------------------------------+ --R b x + 3a b x + 3a b x + a 3| 3 3 2 2 2 3 --R %e \|- b x - 3a b x - 3a b x - a --R + --R 3 3 2 2 2 3 _ 1 3 3 2 2 2 3 --R (b x + 3a b x + 3a b x + a )| (-,- b x - 3a b x - 3a b x - a ) --R 3 --R / --R +------------------------------+ --R 3 2 2 2 3| 3 3 2 2 2 3 --R (2b x + 4a b x + 2a b)\|- b x - 3a b x - 3a b x - a --R Type: Expression(Integer) --E 54 --S 55 of 578 d0010:= D(m0010,x) --R --R --R (55) 0 --R Type: Expression(Integer) --E 55 --S 56 of 578 t0011:= x^m*exp(1)^(x^n) --R --R --R n --R m x --R (56) x %e --R Type: Expression(Integer) --E 56 --S 57 of 578 r0011:= -x^(1+m)*Gamma((1+m)/n,-x^n)*(-x^n)^(-(1+m)/n)/n --R --R --R - m - 1 --R ------- --R m + 1 n n _ m + 1 n --R x (- x ) | (-----,- x ) --R n --R (57) - --------------------------------- --R n --R Type: Expression(Integer) --E 57 --S 58 of 578 a0011:= integrate(t0011,x) --R --R --R x n --R ++ m %A --R (58) | %A %e d%A --R ++ --R Type: Union(Expression(Integer),...) --E 58 --S 59 of 578 m0011:= a0011-r0011 --R --R --R - m - 1 --R x n ------- --R ++ m %A m + 1 n n _ m + 1 n --R n | %A %e d%A + x (- x ) | (-----,- x ) --R ++ n --R (59) ------------------------------------------------------ --R n --R Type: Expression(Integer) --E 59 --S 60 of 578 d0011:= D(m0011,x) --R --R --R (60) --R - m - 1 - n - m - 1 --R ------- ----------- --R m n n m + 1 n - 1 n n --R ((m + 1)x (- x ) + (m + 1)x x (- x ) ) --R * --R _ m + 1 n --R | (-----,- x ) --R n --R + --R - n + m + 1 - m - 1 --R n ----------- ------- n --R m + 1 n - 1 x n n n n m x --R n x x %e (- x ) (- x ) + n x %e --R / --R n --R Type: Expression(Integer) --E 60 --S 61 of 578 t0012:= x^m*f^(x^n) --R --R --R n --R m x --R (61) x f --R Type: Expression(Integer) --E 61 --S 62 of 578 r0012:= -x^(1+m)*Gamma((1+m)/n,-x^n*log(f))*(-x^n*log(f))^(-(1+m)/n)/n --R --R --R - m - 1 --R ------- --R m + 1 n n _ m + 1 n --R x (- log(f)x ) | (-----,- log(f)x ) --R n --R (62) - --------------------------------------------- --R n --R Type: Expression(Integer) --E 62 --S 63 of 578 a0012:= integrate(t0012,x) --R --R --R x n --R ++ m %A --R (63) | %A f d%A --R ++ --R Type: Union(Expression(Integer),...) --E 63 --S 64 of 578 m0012:= a0012-r0012 --R --R --R - m - 1 --R x n ------- --R ++ m %A m + 1 n n _ m + 1 n --R n | %A f d%A + x (- log(f)x ) | (-----,- log(f)x ) --R ++ n --R (64) ----------------------------------------------------------------- --R n --R Type: Expression(Integer) --E 64 --S 65 of 578 d0012:= D(m0012,x) --R --R --R (65) --R - m - 1 --R ------- --R m n n --R (m + 1)x (- log(f)x ) --R + --R - n - m - 1 --R ----------- --R m + 1 n - 1 n n --R (m + 1)log(f)x x (- log(f)x ) --R * --R _ m + 1 n --R | (-----,- log(f)x ) --R n --R + --R n --R m x --R n x f --R + --R - n + m + 1 - m - 1 --R n ----------- ------- --R m + 1 n - 1 log(f)x n n n n --R n log(f)x x %e (- log(f)x ) (- log(f)x ) --R / --R n --R Type: Expression(Integer) --E 65 --S 66 of 578 t0013:= (a+b*x)^m*exp(1)^((a+b*x)^n) --R --R --R n --R m (b x + a) --R (66) (b x + a) %e --R Type: Expression(Integer) --E 66 --S 67 of 578 r0013:= -(a+b*x)^(1+m)*Gamma((1+m)/n,-(a+b*x)^n)*(-(a+b*x)^n)^(-(1+m)/n)/b/n --R --R --R - m - 1 --R ------- --R m + 1 n n _ m + 1 n --R (b x + a) (- (b x + a) ) | (-----,- (b x + a) ) --R n --R (67) - --------------------------------------------------------- --R b n --R Type: Expression(Integer) --E 67 --S 68 of 578 a0013:= integrate(t0013,x) --R --R --R x n --R ++ m (%A b + a) --R (68) | (%A b + a) %e d%A --R ++ --R Type: Union(Expression(Integer),...) --E 68 --S 69 of 578 m0013:= a0013-r0013 --R --R --R (69) --R x n --R ++ m (%A b + a) --R b n | (%A b + a) %e d%A --R ++ --R + --R - m - 1 --R ------- --R m + 1 n n _ m + 1 n --R (b x + a) (- (b x + a) ) | (-----,- (b x + a) ) --R n --R / --R b n --R Type: Expression(Integer) --E 69 --S 70 of 578 d0013:= D(m0013,x) --R --R --R (70) --R - m - 1 --R ------- --R m n n --R (m + 1)(b x + a) (- (b x + a) ) --R + --R - n - m - 1 --R ----------- --R m + 1 n - 1 n n --R (m + 1)(b x + a) (b x + a) (- (b x + a) ) --R * --R _ m + 1 n --R | (-----,- (b x + a) ) --R n --R + --R - n + m + 1 --R n ----------- --R m + 1 n - 1 (b x + a) n n --R n (b x + a) (b x + a) %e (- (b x + a) ) --R * --R - m - 1 --R ------- --R n n --R (- (b x + a) ) --R + --R n --R m (b x + a) --R n (b x + a) %e --R / --R n --R Type: Expression(Integer) --E 70 --S 71 of 578 t0014:= (a+b*x)^m*f^((a+b*x)^n) --R --R --R n --R m (b x + a) --R (71) (b x + a) f --R Type: Expression(Integer) --E 71 --S 72 of 578 r0014:= -(a+b*x)^(1+m)*_ Gamma((1+m)/n,-(a+b*x)^n*log(f))*(-(a+b*x)^n*log(f))^(-(1+m)/n)/b/n --R --R --R (72) --R - m - 1 --R ------- --R m + 1 n n _ m + 1 n --R (b x + a) (- log(f)(b x + a) ) | (-----,- log(f)(b x + a) ) --R n --R - --------------------------------------------------------------------- --R b n --R Type: Expression(Integer) --E 72 --S 73 of 578 a0014:= integrate(t0014,x) --R --R --R x n --R ++ m (%A b + a) --R (73) | (%A b + a) f d%A --R ++ --R Type: Union(Expression(Integer),...) --E 73 --S 74 of 578 m0014:= a0014-r0014 --R --R --R (74) --R x n --R ++ m (%A b + a) --R b n | (%A b + a) f d%A --R ++ --R + --R - m - 1 --R ------- --R m + 1 n n _ m + 1 n --R (b x + a) (- log(f)(b x + a) ) | (-----,- log(f)(b x + a) ) --R n --R / --R b n --R Type: Expression(Integer) --E 74 --S 75 of 578 d0014:= D(m0014,x) --R --R --R (75) --R - m - 1 --R ------- --R m n n --R (m + 1)(b x + a) (- log(f)(b x + a) ) --R + --R m + 1 n - 1 --R (m + 1)log(f)(b x + a) (b x + a) --R * --R - n - m - 1 --R ----------- --R n n --R (- log(f)(b x + a) ) --R * --R _ m + 1 n --R | (-----,- log(f)(b x + a) ) --R n --R + --R n --R m (b x + a) --R n (b x + a) f --R + --R n --R m + 1 n - 1 log(f)(b x + a) --R n log(f)(b x + a) (b x + a) %e --R * --R - n + m + 1 - m - 1 --R ----------- ------- --R n n n n --R (- log(f)(b x + a) ) (- log(f)(b x + a) ) --R / --R n --R Type: Expression(Integer) --E 75 --S 76 of 578 t0015:= exp(1)^(c+d*x)/(a+b*x)^2 --R --R --R d x + c --R %e --R (76) ------------------ --R 2 2 2 --R b x + 2a b x + a --R Type: Expression(Integer) --E 76 --S 77 of 578 r0015:= -exp(1)^(c+d*x)/b/(a+b*x)+d*exp(1)^(c-a*d/b)*Ei(d*(a+b*x)/b)/b^2 --R --R --R - a d + b c --R ----------- --R d x + c b d x + a d b --R - b %e + (b d x + a d)Ei(-----------)%e --R b --R (77) --------------------------------------------------------- --R 3 2 --R b x + a b --R Type: Expression(Integer) --E 77 --S 78 of 578 a0015:= integrate(t0015,x) --R --R --R x %A d + c --R ++ %e --R (78) | -------------------- d%A --R ++ 2 2 2 --R %A b + 2%A a b + a --R Type: Union(Expression(Integer),...) --E 78 --S 79 of 578 m0015:= a0015-r0015 --R --R --R (79) --R x %A d + c --R 3 2 ++ %e d x + c --R (b x + a b ) | -------------------- d%A + b %e --R ++ 2 2 2 --R %A b + 2%A a b + a --R + --R - a d + b c --R ----------- --R b d x + a d b --R (- b d x - a d)Ei(-----------)%e --R b --R / --R 3 2 --R b x + a b --R Type: Expression(Integer) --E 79 --S 80 of 578 d0015:= D(m0015,x) --R --R --R - a d + b c b d x + a d --R ----------- ----------- --R b b d x + c --R - d %e %e + d %e --R (80) -------------------------------------------- --R 2 --R b x + a b --R Type: Expression(Integer) --E 80 --S 81 of 578 t0016:= exp(1)^(c+d*x)/(a+b*x)^3 --R --R --R d x + c --R %e --R (81) ---------------------------- --R 3 3 2 2 2 3 --R b x + 3a b x + 3a b x + a --R Type: Expression(Integer) --E 81 --S 82 of 578 r0016:= -1/2*exp(1)^(c+d*x)/b/(a+b*x)^2-1/2*d*_ exp(1)^(c+d*x)/b^2/(a+b*x)+1/2*d^2*exp(1)^(c-a*d/b)*_ Ei(d*(a+b*x)/b)/b^3 --R --R --R (82) --R 2 2 d x + c --R (- b d x - a b d - b )%e --R + --R - a d + b c --R ----------- --R 2 2 2 2 2 2 b d x + a d b --R (b d x + 2a b d x + a d )Ei(-----------)%e --R b --R / --R 5 2 4 2 3 --R 2b x + 4a b x + 2a b --R Type: Expression(Integer) --E 82 --S 83 of 578 a0016:= integrate(t0016,x) --R --R --R x %A d + c --R ++ %e --R (83) | ------------------------------- d%A --R ++ 3 3 2 2 2 3 --R %A b + 3%A a b + 3%A a b + a --R Type: Union(Expression(Integer),...) --E 83 --S 84 of 578 m0016:= a0016-r0016 --R --R --R (84) --R x %A d + c --R 5 2 4 2 3 ++ %e --R (2b x + 4a b x + 2a b ) | ------------------------------- d%A --R ++ 3 3 2 2 2 3 --R %A b + 3%A a b + 3%A a b + a --R + --R 2 2 d x + c --R (b d x + a b d + b )%e --R + --R - a d + b c --R ----------- --R 2 2 2 2 2 2 b d x + a d b --R (- b d x - 2a b d x - a d )Ei(-----------)%e --R b --R / --R 5 2 4 2 3 --R 2b x + 4a b x + 2a b --R Type: Expression(Integer) --E 84 --S 85 of 578 d0016:= D(m0016,x) --R --R --R - a d + b c b d x + a d --R ----------- ----------- --R 2 b b 2 d x + c --R - d %e %e + d %e --R (85) -------------------------------------------- --R 3 2 --R 2b x + 2a b --R Type: Expression(Integer) --E 85 --S 86 of 578 t0017:= exp((c+d*x)^2)*(a+b*x)^2 --R --R --R 2 2 2 --R 2 2 2 d x + 2c d x + c --R (86) (b x + 2a b x + a )%e --R Type: Expression(Integer) --E 86 --S 87 of 578 r0017:= -b*(1/2*b*c-a*d)*_ exp((c+d*x)^2)/d^3+1/2*b^2*_ exp((c+d*x)^2)*x/d^2-1/4*(b^2*(1-2*c^2)+4*a*b*c*d-2*a^2*d^2)*_ %pi^(1/2)*erfi(c+d*x)/d^3 --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue --R )what op erfi --R to learn if there is any operation containing " erfi " in its --R name. --R --R Cannot find a definition or applicable library operation named erfi --R with argument type(s) --R Polynomial(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 87 --S 88 of 578 a0017:= integrate(t0017,x) --R --R --R x 2 2 2 --R ++ 2 2 2 %A d + 2%A c d + c --R (87) | (%A b + 2%A a b + a )%e d%A --R ++ --R Type: Union(Expression(Integer),...) --E 88 --S 89 of 578 m0017:= a0017-r0017 --R --R --R x 2 2 2 --R ++ 2 2 2 %A d + 2%A c d + c --R (88) | (%A b + 2%A a b + a )%e d%A - r0017 --R ++ --R Type: Expression(Integer) --E 89 --S 90 of 578 d0017:= D(m0017,x) --R --R --R 2 2 2 --R 2 2 2 d x + 2c d x + c --R (89) (b x + 2a b x + a )%e --R Type: Expression(Integer) --E 90 --S 91 of 578 t0018:= exp((c+d*x)^3)*(a+b*x)^2 --R --R --R 3 3 2 2 2 3 --R 2 2 2 d x + 3c d x + 3c d x + c --R (90) (b x + 2a b x + a )%e --R Type: Expression(Integer) --E 91 --S 92 of 578 r0018:= 1/3*b^2*exp((c+d*x)^3)/d^3-1/3*(b*c-a*d)^2*(c+d*x)*_ Gamma(1/3,-(c+d*x)^3)/d^3/(-(c+d*x)^3)^(1/3)+_ 2/3*b*(b*c-a*d)*(c+d*x)^2*_ Gamma(2/3,-(c+d*x)^3)/d^3/(-(c+d*x)^3)^(2/3) --R --R --R (91) --R 3 3 2 2 2 3 +------------------------------+2 --R 2 d x + 3c d x + 3c d x + c 3| 3 3 2 2 2 3 --R b %e \|- d x - 3c d x - 3c d x - c --R + --R 2 3 2 2 2 2 2 2 2 3 --R ((- a d + 2a b c d - b c d)x - a c d + 2a b c d - b c ) --R * --R +------------------------------+ --R _ 1 3 3 2 2 2 3 3| 3 3 2 2 2 3 --R | (-,- d x - 3c d x - 3c d x - c )\|- d x - 3c d x - 3c d x - c --R 3 --R + --R 3 2 2 2 2 2 2 2 2 3 --R ((- 2a b d + 2b c d )x + (- 4a b c d + 4b c d)x - 2a b c d + 2b c ) --R * --R _ 2 3 3 2 2 2 3 --R | (-,- d x - 3c d x - 3c d x - c ) --R 3 --R / --R +------------------------------+2 --R 3 3| 3 3 2 2 2 3 --R 3d \|- d x - 3c d x - 3c d x - c --R Type: Expression(Integer) --E 92 --S 93 of 578 a0018:= integrate(t0018,x) --R --R --R x 3 3 2 2 2 3 --R ++ 2 2 2 %A d + 3%A c d + 3%A c d + c --R (92) | (%A b + 2%A a b + a )%e d%A --R ++ --R Type: Union(Expression(Integer),...) --E 93 --S 94 of 578 m0018:= a0018-r0018 --R --R --R (93) --R +------------------------------+2 --R 3 3| 3 3 2 2 2 3 --R 3d \|- d x - 3c d x - 3c d x - c --R * --R x 3 3 2 2 2 3 --R ++ 2 2 2 %A d + 3%A c d + 3%A c d + c --R | (%A b + 2%A a b + a )%e d%A --R ++ --R + --R 3 3 2 2 2 3 +------------------------------+2 --R 2 d x + 3c d x + 3c d x + c 3| 3 3 2 2 2 3 --R - b %e \|- d x - 3c d x - 3c d x - c --R + --R 2 3 2 2 2 2 2 2 2 3 --R ((a d - 2a b c d + b c d)x + a c d - 2a b c d + b c ) --R * --R +------------------------------+ --R _ 1 3 3 2 2 2 3 3| 3 3 2 2 2 3 --R | (-,- d x - 3c d x - 3c d x - c )\|- d x - 3c d x - 3c d x - c --R 3 --R + --R 3 2 2 2 2 2 2 2 2 3 --R ((2a b d - 2b c d )x + (4a b c d - 4b c d)x + 2a b c d - 2b c ) --R * --R _ 2 3 3 2 2 2 3 --R | (-,- d x - 3c d x - 3c d x - c ) --R 3 --R / --R +------------------------------+2 --R 3 3| 3 3 2 2 2 3 --R 3d \|- d x - 3c d x - 3c d x - c --R Type: Expression(Integer) --E 94 --S 95 of 578 d0018:= D(m0018,x) --R --R --R (94) 0 --R Type: Expression(Integer) --E 95 --S 96 of 578 t0019:= exp((c+d*x)^3)*(a+b*x) --R --R --R 3 3 2 2 2 3 --R d x + 3c d x + 3c d x + c --R (95) (b x + a)%e --R Type: Expression(Integer) --E 96 --S 97 of 578 r0019:= 1/3*(b*c-a*d)*(c+d*x)*_ Gamma(1/3,-(c+d*x)^3)/d^2/(-(c+d*x)^3)^(1/3)-_ 1/3*b*(c+d*x)^2*_ Gamma(2/3,-(c+d*x)^3)/d^2/(-(c+d*x)^3)^(2/3) --R --R --R (96) --R 2 2 _ 1 3 3 2 2 2 3 --R ((- a d + b c d)x - a c d + b c )| (-,- d x - 3c d x - 3c d x - c ) --R 3 --R * --R +------------------------------+ --R 3| 3 3 2 2 2 3 --R \|- d x - 3c d x - 3c d x - c --R + --R 2 2 2 _ 2 3 3 2 2 2 3 --R (- b d x - 2b c d x - b c )| (-,- d x - 3c d x - 3c d x - c ) --R 3 --R / --R +------------------------------+2 --R 2 3| 3 3 2 2 2 3 --R 3d \|- d x - 3c d x - 3c d x - c --R Type: Expression(Integer) --E 97 --S 98 of 578 a0019:= integrate(t0019,x) --R --R --R x 3 3 2 2 2 3 --R ++ %A d + 3%A c d + 3%A c d + c --R (97) | (%A b + a)%e d%A --R ++ --R Type: Union(Expression(Integer),...) --E 98 --S 99 of 578 m0019:= a0019-r0019 --R --R --R (98) --R +------------------------------+2 --R 2 3| 3 3 2 2 2 3 --R 3d \|- d x - 3c d x - 3c d x - c --R * --R x 3 3 2 2 2 3 --R ++ %A d + 3%A c d + 3%A c d + c --R | (%A b + a)%e d%A --R ++ --R + --R 2 2 _ 1 3 3 2 2 2 3 --R ((a d - b c d)x + a c d - b c )| (-,- d x - 3c d x - 3c d x - c ) --R 3 --R * --R +------------------------------+ --R 3| 3 3 2 2 2 3 --R \|- d x - 3c d x - 3c d x - c --R + --R 2 2 2 _ 2 3 3 2 2 2 3 --R (b d x + 2b c d x + b c )| (-,- d x - 3c d x - 3c d x - c ) --R 3 --R / --R +------------------------------+2 --R 2 3| 3 3 2 2 2 3 --R 3d \|- d x - 3c d x - 3c d x - c --R Type: Expression(Integer) --E 99 --S 100 of 578 d0019:= D(m0019,x) --R --R --R (99) 0 --R Type: Expression(Integer) --E 100 --S 101 of 578 t0020:= x^2*exp(1)^(a+b*x)/(c+d*x^2) --R --R --R 2 b x + a --R x %e --R (100) ----------- --R 2 --R d x + c --R Type: Expression(Integer) --E 101 --S 102 of 578 r0020:= exp(1)^(a+b*x)/b/d-1/2*c^(1/2)*_ exp(1)^(a+b*c^(1/2)/(-d)^(1/2))*_ Ei(-b*(c^(1/2)-(-d)^(1/2)*x)/(-d)^(1/2))/(-d)^(3/2)+1/2*c^(1/2)*_ exp(1)^(a-b*c^(1/2)/(-d)^(1/2))*_ Ei(b*(c^(1/2)+(-d)^(1/2)*x)/(-d)^(1/2))/(-d)^(3/2) --R --R --R (101) --R +-+ +---+ --R b\|c + a\|- d --R --------------- --R +-+ +---+ +---+ --R +-+ - b\|c + b x\|- d \|- d --R b\|c Ei(-------------------)%e --R +---+ --R \|- d --R + --R +-+ +---+ --R - b\|c + a\|- d --R ----------------- --R +-+ +---+ +---+ --R +-+ b\|c + b x\|- d \|- d b x + a +---+ --R - b\|c Ei(-----------------)%e + 2%e \|- d --R +---+ --R \|- d --R / --R +---+ --R 2b d\|- d --R Type: Expression(Integer) --E 102 --S 103 of 578 a0020:= integrate(t0020,x) --R --R --R x 2 %A b + a --R ++ %A %e --R (102) | ------------- d%A --R ++ 2 --R %A d + c --R Type: Union(Expression(Integer),...) --E 103 --S 104 of 578 m0020:= a0020-r0020 --R --R --R (103) --R x 2 %A b + a --R +---+ ++ %A %e --R 2b d\|- d | ------------- d%A --R ++ 2 --R %A d + c --R + --R +-+ +---+ --R b\|c + a\|- d --R --------------- --R +-+ +---+ +---+ --R +-+ - b\|c + b x\|- d \|- d --R - b\|c Ei(-------------------)%e --R +---+ --R \|- d --R + --R +-+ +---+ --R - b\|c + a\|- d --R ----------------- --R +-+ +---+ +---+ --R +-+ b\|c + b x\|- d \|- d b x + a +---+ --R b\|c Ei(-----------------)%e - 2%e \|- d --R +---+ --R \|- d --R / --R +---+ --R 2b d\|- d --R Type: Expression(Integer) --E 104 --S 105 of 578 d0020:= D(m0020,x) --R --R --R (104) --R +-+ +---+ +-+ +---+ --R - b\|c + a\|- d b\|c + b x\|- d --R ----------------- ----------------- --R +---+ +---+ --R +---+ +-+ \|- d \|- d --R (- x\|- d \|c + c)%e %e --R + --R +-+ +---+ +-+ +---+ --R - b\|c + b x\|- d b\|c + a\|- d --R ------------------- --------------- --R +---+ +---+ --R +---+ +-+ \|- d \|- d b x + a --R (x\|- d \|c + c)%e %e - 2c %e --R / --R 2 2 --R 2d x + 2c d --R Type: Expression(Integer) --E 105 --S 106 of 578 t0021:= 1/(a+b*exp(1)^(c-d*x)) --R --R --R 1 --R (105) ----------------- --R - d x + c --R b %e + a --R Type: Expression(Integer) --E 106 --S 107 of 578 r0021:= log(b+a*exp(-c+d*x))/a/d --R --R --R d x - c --R log(a %e + b) --R (106) -------------------- --R a d --R Type: Expression(Integer) --E 107 --S 108 of 578 a0021:= integrate(t0021,x) --R --R --R - d x + c --R log(b %e + a) + d x --R (107) ---------------------------- --R a d --R Type: Union(Expression(Integer),...) --E 108 --S 109 of 578 m0021:= a0021-r0021 --R --R --R d x - c - d x + c --R - log(a %e + b) + log(b %e + a) + d x --R (108) ----------------------------------------------------- --R a d --R Type: Expression(Integer) --E 109 --S 110 of 578 d0021:= D(m0021,x) --R --R --R - d x + c d x - c --R - b %e %e + b --R (109) ----------------------------------------------------- --R - d x + c 2 d x - c 2 - d x + c --R (a b %e + a )%e + b %e + a b --R Type: Expression(Integer) --E 110 --S 111 of 578 t0022:= 1/(a+b*exp(1)^(c-d*x))^2 --R --R --R 1 --R (110) ---------------------------------------- --R 2 - d x + c 2 - d x + c 2 --R b (%e ) + 2a b %e + a --R Type: Expression(Integer) --E 111 --S 112 of 578 r0022:= -1/a/d/(a+b*exp(1)^(c-d*x))+log(b+a*exp(1)^(-c+d*x))/a^2/d --R --R --R - d x + c d x - c --R (b %e + a)log(a %e + b) - a --R (111) ------------------------------------------- --R 2 - d x + c 3 --R a b d %e + a d --R Type: Expression(Integer) --E 112 --S 113 of 578 a0022:= integrate(t0022,x) --R --R --R (112) --R - d x + c - d x + c - d x + c --R (b %e + a)log(b %e + a) + b d x %e + a d x - a --R ------------------------------------------------------------------------- --R 2 - d x + c 3 --R a b d %e + a d --R Type: Union(Expression(Integer),...) --E 113 --S 114 of 578 m0022:= a0022-r0022 --R --R --R d x - c - d x + c --R - log(a %e + b) + log(b %e + a) + d x --R (113) ----------------------------------------------------- --R 2 --R a d --R Type: Expression(Integer) --E 114 --S 115 of 578 d0022:= D(m0022,x) --R --R --R - d x + c d x - c --R - b %e %e + b --R (114) ------------------------------------------------------- --R 2 - d x + c 3 d x - c 2 - d x + c 2 --R (a b %e + a )%e + a b %e + a b --R Type: Expression(Integer) --E 115 --S 116 of 578 t0023:= 1/(a+b*exp(1)^(-c-d*x)) --R --R --R 1 --R (115) ----------------- --R - d x - c --R b %e + a --R Type: Expression(Integer) --E 116 --S 117 of 578 r0023:= log(b+a*exp(c+d*x))/a/d --R --R --R d x + c --R log(a %e + b) --R (116) -------------------- --R a d --R Type: Expression(Integer) --E 117 --S 118 of 578 a0023:= integrate(t0023,x) --R --R --R - d x - c --R log(b %e + a) + d x --R (117) ---------------------------- --R a d --R Type: Union(Expression(Integer),...) --E 118 --S 119 of 578 m0023:= a0023-r0023 --R --R --R d x + c - d x - c --R - log(a %e + b) + log(b %e + a) + d x --R (118) ----------------------------------------------------- --R a d --R Type: Expression(Integer) --E 119 --S 120 of 578 d0023:= D(m0023,x) --R --R --R - d x - c d x + c --R - b %e %e + b --R (119) ----------------------------------------------------- --R - d x - c 2 d x + c 2 - d x - c --R (a b %e + a )%e + b %e + a b --R Type: Expression(Integer) --E 120 --S 121 of 578 t0024:= 1/(a+b*exp(1)^(-c-d*x))^2 --R --R --R 1 --R (120) ---------------------------------------- --R 2 - d x - c 2 - d x - c 2 --R b (%e ) + 2a b %e + a --R Type: Expression(Integer) --E 121 --S 122 of 578 r0024:= -1/a/d/(a+b*exp(1)^(-c-d*x))+log(b+a*exp(1)^(c+d*x))/a^2/d --R --R --R - d x - c d x + c --R (b %e + a)log(a %e + b) - a --R (121) ------------------------------------------- --R 2 - d x - c 3 --R a b d %e + a d --R Type: Expression(Integer) --E 122 --S 123 of 578 a0024:= integrate(t0024,x) --R --R --R (122) --R - d x - c - d x - c - d x - c --R (b %e + a)log(b %e + a) + b d x %e + a d x - a --R ------------------------------------------------------------------------- --R 2 - d x - c 3 --R a b d %e + a d --R Type: Union(Expression(Integer),...) --E 123 --S 124 of 578 m0024:= a0024-r0024 --R --R --R d x + c - d x - c --R - log(a %e + b) + log(b %e + a) + d x --R (123) ----------------------------------------------------- --R 2 --R a d --R Type: Expression(Integer) --E 124 --S 125 of 578 d0024:= D(m0024,x) --R --R --R - d x - c d x + c --R - b %e %e + b --R (124) ------------------------------------------------------- --R 2 - d x - c 3 d x + c 2 - d x - c 2 --R (a b %e + a )%e + a b %e + a b --R Type: Expression(Integer) --E 125 --S 126 of 578 t0025:= 1/(a+b*exp(1)^(-c-d*x))^3 --R --R --R 1 --R (125) -------------------------------------------------------------- --R 3 - d x - c 3 2 - d x - c 2 2 - d x - c 3 --R b (%e ) + 3a b (%e ) + 3a b %e + a --R Type: Expression(Integer) --E 126 --S 127 of 578 r0025:= -1/2/a/d/(a+b*exp(1)^(-c-d*x))^2-1/a^2/d/(a+b*exp(1)^(-c-d*x))+_ log(b+a*exp(1)^(c+d*x))/a^3/d --R --R --R (126) --R 2 - d x - c 2 - d x - c 2 d x + c --R (2b (%e ) + 4a b %e + 2a )log(a %e + b) --R + --R - d x - c 2 --R - 2a b %e - 3a --R / --R 3 2 - d x - c 2 4 - d x - c 5 --R 2a b d (%e ) + 4a b d %e + 2a d --R Type: Expression(Integer) --E 127 --S 128 of 578 a0025:= integrate(t0025,x) --R --R --R (127) --R 2 - d x - c 2 - d x - c 2 - d x - c --R (2b (%e ) + 4a b %e + 2a )log(b %e + a) --R + --R 2 - d x - c 2 - d x - c 2 2 --R 2b d x (%e ) + (4a b d x - 2a b)%e + 2a d x - 3a --R / --R 3 2 - d x - c 2 4 - d x - c 5 --R 2a b d (%e ) + 4a b d %e + 2a d --R Type: Union(Expression(Integer),...) --E 128 --S 129 of 578 m0025:= a0025-r0025 --R --R --R d x + c - d x - c --R - log(a %e + b) + log(b %e + a) + d x --R (128) ----------------------------------------------------- --R 3 --R a d --R Type: Expression(Integer) --E 129 --S 130 of 578 d0025:= D(m0025,x) --R --R --R - d x - c d x + c --R - b %e %e + b --R (129) ------------------------------------------------------- --R 3 - d x - c 4 d x + c 2 2 - d x - c 3 --R (a b %e + a )%e + a b %e + a b --R Type: Expression(Integer) --E 130 --S 131 of 578 t0026:= x/(a+b*exp(1)^(c+d*x)) --R --R --R x --R (130) --------------- --R d x + c --R b %e + a --R Type: Expression(Integer) --E 131 --S 132 of 578 r0026:= -1/2*(-d^2*x^2+2*x*log((a+b*exp(c+d*x))/a)*d+2*_ polylog(2,-b*exp(c+d*x)/a))/a/d^2 --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 132 --S 133 of 578 a0026:= integrate(t0026,x) --R --R --R x --R ++ %A --R (131) | ---------------- d%A --R ++ %A d + c --R b %e + a --R Type: Union(Expression(Integer),...) --E 133 --S 134 of 578 m0026:= a0026-r0026 --R --R --R x --R ++ %A --R (132) | ---------------- d%A - r0026 --R ++ %A d + c --R b %e + a --R Type: Expression(Integer) --E 134 --S 135 of 578 d0026:= D(m0026,x) --R --R --R x --R (133) --------------- --R d x + c --R b %e + a --R Type: Expression(Integer) --E 135 --S 136 of 578 t0027:= x^2/(a+b*exp(1)^(c+d*x)) --R --R --R 2 --R x --R (134) --------------- --R d x + c --R b %e + a --R Type: Expression(Integer) --E 136 --S 137 of 578 r0027:= 1/3*(d^3*x^3-3*x^2*log((a+b*exp(c+d*x))/a)*d^2-6*x*_ polylog(2,-b*exp(c+d*x)/a)*d+6*_ polylog(3,-b*exp(c+d*x)/a))/a/d^3 --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 137 --S 138 of 578 a0027:= integrate(t0027,x) --R --R --R x 2 --R ++ %A --R (135) | ---------------- d%A --R ++ %A d + c --R b %e + a --R Type: Union(Expression(Integer),...) --E 138 --S 139 of 578 m0027:= a0027-r0027 --R --R --R x 2 --R ++ %A --R (136) | ---------------- d%A - r0027 --R ++ %A d + c --R b %e + a --R Type: Expression(Integer) --E 139 --S 140 of 578 d0027:= D(m0027,x) --R --R --R 2 --R x --R (137) --------------- --R d x + c --R b %e + a --R Type: Expression(Integer) --E 140 --S 141 of 578 t0028:= x^3/(a+b*exp(1)^(c+d*x)) --R --R --R 3 --R x --R (138) --------------- --R d x + c --R b %e + a --R Type: Expression(Integer) --E 141 --S 142 of 578 r0028:= 1/4*(x^4*d^4-4*x^3*log((a+b*exp(c+d*x))/a)*d^3-12*x^2*_ polylog(2,-b*exp(c+d*x)/a)*d^2+24*x*_ polylog(3,-b*exp(c+d*x)/a)*d-24*_ polylog(4,-b*exp(c+d*x)/a))/a/d^4 --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 142 --S 143 of 578 a0028:= integrate(t0028,x) --R --R --R x 3 --R ++ %A --R (139) | ---------------- d%A --R ++ %A d + c --R b %e + a --R Type: Union(Expression(Integer),...) --E 143 --S 144 of 578 m0028:= a0028-r0028 --R --R --R x 3 --R ++ %A --R (140) | ---------------- d%A - r0028 --R ++ %A d + c --R b %e + a --R Type: Expression(Integer) --E 144 --S 145 of 578 d0028:= D(m0028,x) --R --R --R 3 --R x --R (141) --------------- --R d x + c --R b %e + a --R Type: Expression(Integer) --E 145 --S 146 of 578 t0029:= x/(a+b*exp(1)^(c+d*x))^2 --R --R --R x --R (142) ------------------------------------ --R 2 d x + c 2 d x + c 2 --R b (%e ) + 2a b %e + a --R Type: Expression(Integer) --E 146 --S 147 of 578 r0029:= -x/a^2/d+x/a/d/(a+b*exp(1)^(c+d*x))+1/2*x^2/a^2+_ log(a+b*exp(1)^(c+d*x))/a^2/d^2-_ x*log(1+b*exp(1)^(c+d*x)/a)/a^2/d-_ polylog(2,-b*exp(1)^(c+d*x)/a)/a^2/d^2 --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 147 --S 148 of 578 a0029:= integrate(t0029,x) --R --R --R x --R ++ %A --R (143) | -------------------------------------- d%A --R ++ 2 %A d + c 2 %A d + c 2 --R b (%e ) + 2a b %e + a --R Type: Union(Expression(Integer),...) --E 148 --S 149 of 578 m0029:= a0029-r0029 --R --R --R x --R ++ %A --R (144) | -------------------------------------- d%A - r0029 --R ++ 2 %A d + c 2 %A d + c 2 --R b (%e ) + 2a b %e + a --R Type: Expression(Integer) --E 149 --S 150 of 578 d0029:= D(m0029,x) --R --R --R x --R (145) ------------------------------------ --R 2 d x + c 2 d x + c 2 --R b (%e ) + 2a b %e + a --R Type: Expression(Integer) --E 150 --S 151 of 578 t0030:= x^2/(a+b*exp(1)^(c+d*x))^2 --R --R --R 2 --R x --R (146) ------------------------------------ --R 2 d x + c 2 d x + c 2 --R b (%e ) + 2a b %e + a --R Type: Expression(Integer) --E 151 --S 152 of 578 r0030:= -x^2/a^2/d+x^2/a/d/(a+b*exp(1)^(c+d*x))+_ 1/3*x^3/a^2+2*x*log(1+b*exp(1)^(c+d*x)/a)/a^2/d^2-_ x^2*log(1+b*exp(1)^(c+d*x)/a)/a^2/d+_ 2*(1-d*x)*polylog(2,-b*exp(1)^(c+d*x)/a)/a^2/d^3+_ 2*polylog(3,-b*exp(1)^(c+d*x)/a)/a^2/d^3 --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 152 --S 153 of 578 a0030:= integrate(t0030,x) --R --R --R x 2 --R ++ %A --R (147) | -------------------------------------- d%A --R ++ 2 %A d + c 2 %A d + c 2 --R b (%e ) + 2a b %e + a --R Type: Union(Expression(Integer),...) --E 153 --S 154 of 578 m0030:= a0030-r0030 --R --R --R x 2 --R ++ %A --R (148) | -------------------------------------- d%A - r0030 --R ++ 2 %A d + c 2 %A d + c 2 --R b (%e ) + 2a b %e + a --R Type: Expression(Integer) --E 154 --S 155 of 578 d0030:= D(m0030,x) --R --R --R 2 --R x --R (149) ------------------------------------ --R 2 d x + c 2 d x + c 2 --R b (%e ) + 2a b %e + a --R Type: Expression(Integer) --E 155 --S 156 of 578 t0031:= x^3/(a+b*exp(1)^(c+d*x))^2 --R --R --R 3 --R x --R (150) ------------------------------------ --R 2 d x + c 2 d x + c 2 --R b (%e ) + 2a b %e + a --R Type: Expression(Integer) --E 156 --S 157 of 578 r0031:= -x^3/a^2/d+x^3/a/d/(a+b*exp(1)^(c+d*x))+1/4*x^4/a^2+_ 3*x^2*log(1+b*exp(1)^(c+d*x)/a)/a^2/d^2-_ x^3*log(1+b*exp(1)^(c+d*x)/a)/a^2/d+3*x*(2-d*x)*_ polylog(2,-b*exp(1)^(c+d*x)/a)/a^2/d^3-6*(1-d*x)*_ polylog(3,-b*exp(1)^(c+d*x)/a)/a^2/d^4-6*_ polylog(4,-b*exp(1)^(c+d*x)/a)/a^2/d^4 --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 157 --S 158 of 578 a0031:= integrate(t0031,x) --R --R --R x 3 --R ++ %A --R (151) | -------------------------------------- d%A --R ++ 2 %A d + c 2 %A d + c 2 --R b (%e ) + 2a b %e + a --R Type: Union(Expression(Integer),...) --E 158 --S 159 of 578 m0031:= a0031-r0031 --R --R --R x 3 --R ++ %A --R (152) | -------------------------------------- d%A - r0031 --R ++ 2 %A d + c 2 %A d + c 2 --R b (%e ) + 2a b %e + a --R Type: Expression(Integer) --E 159 --S 160 of 578 d0031:= D(m0031,x) --R --R --R 3 --R x --R (153) ------------------------------------ --R 2 d x + c 2 d x + c 2 --R b (%e ) + 2a b %e + a --R Type: Expression(Integer) --E 160 --S 161 of 578 t0032:= x/(a+b*exp(1)^(c+d*x))^3 --R --R --R x --R (154) -------------------------------------------------------- --R 3 d x + c 3 2 d x + c 2 2 d x + c 3 --R b (%e ) + 3a b (%e ) + 3a b %e + a --R Type: Expression(Integer) --E 161 --S 162 of 578 r0032:= -1/2/a^2/d^2/(a+b*exp(1)^(c+d*x))-3/2*x/a^3/d+1/2*x^2/a^3+_ 1/2*x*(2*a/d/(a+b*exp(1)^(c+d*x))+(a^2/(a+b*exp(1)^(c+d*x))^2-_ 2*log(a+b*exp(1)^(c+d*x)))/d)/a^3+3/2*_ log(a+b*exp(1)^(c+d*x))/a^3/d^2+x*_ log(a+b*exp(1)^(c+d*x))/a^3/d-x*log(1+b*exp(1)^(c+d*x)/a)/a^3/d-_ polylog(2,-b*exp(1)^(c+d*x)/a)/a^3/d^2 --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 162 --S 163 of 578 a0032:= integrate(t0032,x) --R --R --R (155) --R x --R ++ %A --R | ----------------------------------------------------------- d%A --R ++ 3 %A d + c 3 2 %A d + c 2 2 %A d + c 3 --R b (%e ) + 3a b (%e ) + 3a b %e + a --R Type: Union(Expression(Integer),...) --E 163 --S 164 of 578 m0032:= a0032-r0032 --R --R --R (156) --R x --R ++ %A --R | ----------------------------------------------------------- d%A - r0032 --R ++ 3 %A d + c 3 2 %A d + c 2 2 %A d + c 3 --R b (%e ) + 3a b (%e ) + 3a b %e + a --R Type: Expression(Integer) --E 164 --S 165 of 578 d0032:= D(m0032,x) --R --R --R x --R (157) -------------------------------------------------------- --R 3 d x + c 3 2 d x + c 2 2 d x + c 3 --R b (%e ) + 3a b (%e ) + 3a b %e + a --R Type: Expression(Integer) --E 165 --S 166 of 578 t0033:= x^2/(a+b*exp(1)^(c+d*x))^3 --R --R --R 2 --R x --R (158) -------------------------------------------------------- --R 3 d x + c 3 2 d x + c 2 2 d x + c 3 --R b (%e ) + 3a b (%e ) + 3a b %e + a --R Type: Expression(Integer) --E 166 --S 167 of 578 r0033:= x/a^3/d^2-x/a^2/d^2/(a+b*exp(1)^(c+d*x))-3/2*x^2/a^3/d+1/3*x^3/a^3+_ 1/2*x^2*(2*a/d/(a+b*exp(1)^(c+d*x))+(a^2/(a+b*exp(1)^(c+d*x))^2-_ 2*log(a+b*exp(1)^(c+d*x)))/d)/a^3-log(a+b*exp(1)^(c+d*x))/a^3/d^3+_ x^2*log(a+b*exp(1)^(c+d*x))/a^3/d+3*x*_ log(1+b*exp(1)^(c+d*x)/a)/a^3/d^2-x^2*log(1+b*exp(1)^(c+d*x)/a)/a^3/d+_ (3-2*d*x)*polylog(2,-b*exp(1)^(c+d*x)/a)/a^3/d^3+2*_ polylog(3,-b*exp(1)^(c+d*x)/a)/a^3/d^3 --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 167 --S 168 of 578 a0033:= integrate(t0033,x) --R --R --R (159) --R x 2 --R ++ %A --R | ----------------------------------------------------------- d%A --R ++ 3 %A d + c 3 2 %A d + c 2 2 %A d + c 3 --R b (%e ) + 3a b (%e ) + 3a b %e + a --R Type: Union(Expression(Integer),...) --E 168 --S 169 of 578 m0033:= a0033-r0033 --R --R --R (160) --R x 2 --R ++ %A --R | ----------------------------------------------------------- d%A - r0033 --R ++ 3 %A d + c 3 2 %A d + c 2 2 %A d + c 3 --R b (%e ) + 3a b (%e ) + 3a b %e + a --R Type: Expression(Integer) --E 169 --S 170 of 578 d0033:= D(m0033,x) --R --R --R 2 --R x --R (161) -------------------------------------------------------- --R 3 d x + c 3 2 d x + c 2 2 d x + c 3 --R b (%e ) + 3a b (%e ) + 3a b %e + a --R Type: Expression(Integer) --E 170 --S 171 of 578 t0034:= (exp(1)^(a+b*x))^(1/2)/x --R --R --R +---------+ --R | b x + a --R \|%e --R (162) ------------ --R x --R Type: Expression(Integer) --E 171 --S 172 of 578 r0034:= exp(a+b*x)^(1/2)*Ei(1/2*b*x)*exp(-1/2*b*x) --R --R --R b x --R - --- +---------+ --R b x 2 | b x + a --R (163) Ei(---)%e \|%e --R 2 --R Type: Expression(Integer) --E 172 --S 173 of 578 a0034:= integrate(t0034,x) --R --R --R >> Error detected within library code: --R integrate: implementation incomplete (constant residues) --R --R Continuing to read the file... --R --E 173 --S 174 of 578 m0034:= a0034-r0034 --R --R --R b x --R - --- +---------+ --R b x 2 | b x + a --R (164) - Ei(---)%e \|%e + a0034 --R 2 --R Type: Expression(Integer) --E 174 --S 175 of 578 d0034:= D(m0034,x) --R --R --R b x b x --R - --- --- +---------+ --R 2 2 | b x + a --R %e %e \|%e --R (165) - ------------------------ --R x --R Type: Expression(Integer) --E 175 --S 176 of 578 t0035:= (exp(1)^(a+b*x))^(1/2)/x^2 --R --R --R +---------+ --R | b x + a --R \|%e --R (166) ------------ --R 2 --R x --R Type: Expression(Integer) --E 176 --S 177 of 578 r0035:= 1/2*exp(-1/2*a-1/2*b*x)*exp(a+b*x)^(1/2)*(-2*exp(1/2*a+1/2*b*x)+_ b*exp(1/2*a)*Ei(1/2*b*x)*x)/x --R --R --R - b x - a b x + a - b x - a a --R --------- ------- --------- - +---------+ --R 2 2 b x 2 2 | b x + a --R (- 2%e %e + b x Ei(---)%e %e )\|%e --R 2 --R (167) ----------------------------------------------------------------- --R 2x --R Type: Expression(Integer) --E 177 --S 178 of 578 a0035:= integrate(t0035,x) --R --R --R >> Error detected within library code: --R integrate: implementation incomplete (constant residues) --R --R Continuing to read the file... --R --E 178 --S 179 of 578 m0035:= a0035-r0035 --R --R --R (168) --R - b x - a b x + a - b x - a a --R --------- ------- --------- - +---------+ --R 2 2 b x 2 2 | b x + a --R (2%e %e - b x Ei(---)%e %e )\|%e + 2a0035 x --R 2 --R -------------------------------------------------------------------------- --R 2x --R Type: Expression(Integer) --E 179 --S 180 of 578 d0035:= D(m0035,x) --R --R --R - b x - a b x + a - b x - a a b x --R --------- ------- --------- - --- --R 2 2 2 2 2 b x + a --R ((b x - 2)%e %e - b x %e %e %e )%e --R (169) ------------------------------------------------------------------ --R +---------+ --R 2 | b x + a --R 2x \|%e --R Type: Expression(Integer) --E 180 --S 181 of 578 t0036:= (exp(1)^(a+b*x))^(1/2)/x^3 --R --R --R +---------+ --R | b x + a --R \|%e --R (170) ------------ --R 3 --R x --R Type: Expression(Integer) --E 181 --S 182 of 578 r0036:= 1/8*exp(-1/2*a-1/2*b*x)*exp(a+b*x)^(1/2)*(-4*exp(1/2*a+1/2*b*x)-_ 2*b*exp(1/2*a+1/2*b*x)*x+b^2*exp(1/2*a)*Ei(1/2*b*x)*x^2)/x^2 --R --R --R (171) --R - b x - a b x + a - b x - a a --R --------- ------- --------- - +---------+ --R 2 2 2 2 b x 2 2 | b x + a --R ((- 2b x - 4)%e %e + b x Ei(---)%e %e )\|%e --R 2 --R -------------------------------------------------------------------------- --R 2 --R 8x --R Type: Expression(Integer) --E 182 --S 183 of 578 a0036:= integrate(t0036,x) --R --R --R >> Error detected within library code: --R integrate: implementation incomplete (constant residues) --R --R Continuing to read the file... --R --E 183 --S 184 of 578 m0036:= a0036-r0036 --R --R --R (172) --R - b x - a b x + a - b x - a a --R --------- ------- --------- - +---------+ --R 2 2 2 2 b x 2 2 | b x + a --R ((2b x + 4)%e %e - b x Ei(---)%e %e )\|%e --R 2 --R + --R 2 --R 8a0036 x --R / --R 2 --R 8x --R Type: Expression(Integer) --E 184 --S 185 of 578 d0036:= D(m0036,x) --R --R --R - b x - a b x + a - b x - a a b x --R --------- ------- --------- - --- --R 2 2 2 2 2 2 2 2 2 b x + a --R ((b x - 8)%e %e - b x %e %e %e )%e --R (173) ------------------------------------------------------------------- --R +---------+ --R 3 | b x + a --R 8x \|%e --R Type: Expression(Integer) --E 185 --S 186 of 578 t0037:= f^(a+b*(c+d*x)^3) --R --R --R 3 3 2 2 2 3 --R b d x + 3b c d x + 3b c d x + b c + a --R (174) f --R Type: Expression(Integer) --E 186 --S 187 of 578 r0037:= -1/3*f^a*(c+d*x)*Gamma(1/3,-b*(c+d*x)^3*log(f))/d/_ (-b*(c+d*x)^3*log(f))^(1/3) --R --R --R a _ 1 3 3 2 2 2 3 --R (- d x - c)f | (-,(- b d x - 3b c d x - 3b c d x - b c )log(f)) --R 3 --R (175) ----------------------------------------------------------------- --R +----------------------------------------------+ --R 3| 3 3 2 2 2 3 --R 3d\|(- b d x - 3b c d x - 3b c d x - b c )log(f) --R Type: Expression(Integer) --E 187 --S 188 of 578 a0037:= integrate(t0037,x) --R --R --R x 3 3 2 2 2 3 --R ++ %A b d + 3%A b c d + 3%A b c d + b c + a --R (176) | f d%A --R ++ --R Type: Union(Expression(Integer),...) --E 188 --S 189 of 578 m0037:= a0037-r0037 --R --R --R (177) --R +----------------------------------------------+ --R 3| 3 3 2 2 2 3 --R 3d\|(- b d x - 3b c d x - 3b c d x - b c )log(f) --R * --R x 3 3 2 2 2 3 --R ++ %A b d + 3%A b c d + 3%A b c d + b c + a --R | f d%A --R ++ --R + --R a _ 1 3 3 2 2 2 3 --R (d x + c)f | (-,(- b d x - 3b c d x - 3b c d x - b c )log(f)) --R 3 --R / --R +----------------------------------------------+ --R 3| 3 3 2 2 2 3 --R 3d\|(- b d x - 3b c d x - 3b c d x - b c )log(f) --R Type: Expression(Integer) --E 189 --S 190 of 578 d0037:= D(m0037,x) --R --R --R (178) --R 3 3 2 2 2 3 --R a (b d x + 3b c d x + 3b c d x + b c )log(f) --R - f %e --R + --R 3 3 2 2 2 3 --R b d x + 3b c d x + 3b c d x + b c + a --R f --R Type: Expression(Integer) --E 190 --S 191 of 578 t0038:= f^(a+b*(c+d*x)^n) --R --R --R n --R b (d x + c) + a --R (179) f --R Type: Expression(Integer) --E 191 --S 192 of 578 r0038:= -f^a*(c+d*x)*Gamma(1/n,-b*(c+d*x)^n*log(f))/_ ((-b*(c+d*x)^n*log(f))^(1/n))/d/n --R --R --R a _ 1 n --R (- d x - c)f | (-,- b log(f)(d x + c) ) --R n --R (180) --------------------------------------- --R 1 --R - --R n n --R d n (- b log(f)(d x + c) ) --R Type: Expression(Integer) --E 192 --S 193 of 578 a0038:= integrate(t0038,x) --R --R --R x n --R ++ b (%A d + c) + a --R (181) | f d%A --R ++ --R Type: Union(Expression(Integer),...) --E 193 --S 194 of 578 m0038:= a0038-r0038 --R --R --R (182) --R 1 --R - x n --R n n ++ b (%A d + c) + a --R d n (- b log(f)(d x + c) ) | f d%A --R ++ --R + --R a _ 1 n --R (d x + c)f | (-,- b log(f)(d x + c) ) --R n --R / --R 1 --R - --R n n --R d n (- b log(f)(d x + c) ) --R Type: Expression(Integer) --E 194 --S 195 of 578 d0038:= D(m0038,x) --R --R --R (183) --R 1 --R - --R a n n --R f (- b log(f)(d x + c) ) --R + --R - n + 1 --R ------- --R a n - 1 n n --R (b d x + b c)log(f)f (d x + c) (- b log(f)(d x + c) ) --R * --R _ 1 n --R | (-,- b log(f)(d x + c) ) --R n --R + --R 1 2 --R - n --R n n b (d x + c) + a --R n ((- b log(f)(d x + c) ) ) f --R + --R n --R a n - 1 b log(f)(d x + c) --R (b d n x + b c n)log(f)f (d x + c) %e --R * --R - n + 1 1 --R ------- - --R n n n n --R (- b log(f)(d x + c) ) (- b log(f)(d x + c) ) --R / --R 1 2 --R - --R n n --R n ((- b log(f)(d x + c) ) ) --R Type: Expression(Integer) --E 195 --S 196 of 578 t0039:= f^(a+b*(c+d*x)^(1/2)) --R --R --R +-------+ --R b\|d x + c + a --R (184) f --R Type: Expression(Integer) --E 196 --S 197 of 578 r0039:= 2*f^(a+b*(c+d*x)^(1/2))*(-1+(c+d*x)^(1/2)*b*log(f))/b^2/d/log(f)^2 --R --R --R +-------+ --R +-------+ b\|d x + c + a --R (2b log(f)\|d x + c - 2)f --R (185) ----------------------------------------- --R 2 2 --R b d log(f) --R Type: Expression(Integer) --E 197 --S 198 of 578 a0039:= integrate(t0039,x) --R --R --R +-------+ --R +-------+ b log(f)\|d x + c + a log(f) --R (2b log(f)\|d x + c - 2)%e --R (186) -------------------------------------------------------- --R 2 2 --R b d log(f) --R Type: Union(Expression(Integer),...) --E 198 --S 199 of 578 m0039:= a0039-r0039 --R --R --R (187) --R +-------+ --R +-------+ b\|d x + c + a --R (- 2b log(f)\|d x + c + 2)f --R + --R +-------+ --R +-------+ b log(f)\|d x + c + a log(f) --R (2b log(f)\|d x + c - 2)%e --R / --R 2 2 --R b d log(f) --R Type: Expression(Integer) --E 199 --S 200 of 578 d0039:= D(m0039,x) --R --R --R +-------+ +-------+ --R b\|d x + c + a b log(f)\|d x + c + a log(f) --R (188) - f + %e --R Type: Expression(Integer) --E 200 --S 201 of 578 t0040:= f^(a+b*(c+d*x)^(1/3)) --R --R --R 3+-------+ --R b\|d x + c + a --R (189) f --R Type: Expression(Integer) --E 201 --S 202 of 578 r0040:= 3*f^(a+b*(c+d*x)^(1/3))*(2-2*(c+d*x)^(1/3)*b*log(f)+_ (c+d*x)^(2/3)*b^2*log(f)^2)/b^3/d/log(f)^3 --R --R --R 3+-------+ --R 2 2 3+-------+2 3+-------+ b\|d x + c + a --R (3b log(f) \|d x + c - 6b log(f)\|d x + c + 6)f --R (190) ----------------------------------------------------------------- --R 3 3 --R b d log(f) --R Type: Expression(Integer) --E 202 --S 203 of 578 a0040:= integrate(t0040,x) --R --R --R (191) --R 2 2 3+-------+2 3+-------+ --R (3b log(f) \|d x + c - 6b log(f)\|d x + c + 6) --R * --R 3+-------+ --R b log(f)\|d x + c + a log(f) --R %e --R / --R 3 3 --R b d log(f) --R Type: Union(Expression(Integer),...) --E 203 --S 204 of 578 m0040:= a0040-r0040 --R --R --R (192) --R 3+-------+ --R 2 2 3+-------+2 3+-------+ b\|d x + c + a --R (- 3b log(f) \|d x + c + 6b log(f)\|d x + c - 6)f --R + --R 2 2 3+-------+2 3+-------+ --R (3b log(f) \|d x + c - 6b log(f)\|d x + c + 6) --R * --R 3+-------+ --R b log(f)\|d x + c + a log(f) --R %e --R / --R 3 3 --R b d log(f) --R Type: Expression(Integer) --E 204 --S 205 of 578 d0040:= D(m0040,x) --R --R --R 3+-------+ 3+-------+ --R b\|d x + c + a b log(f)\|d x + c + a log(f) --R (193) - f + %e --R Type: Expression(Integer) --E 205 --S 206 of 578 t0041:= x^3*exp(1)^(a+b*x+c*x^2) --R --R --R 2 --R 3 c x + b x + a --R (194) x %e --R Type: Expression(Integer) --E 206 --S 207 of 578 r0041:= 1/8*b^2*exp(1)^(a+b*x+c*x^2)/c^3-1/2*exp(1)^(a+b*x+c*x^2)/c^2-_ 1/4*b*exp(1)^(a+b*x+c*x^2)*x/c^2+1/2*exp(1)^(a+b*x+c*x^2)*x^2/c-_ 1/16*b*(b^2-6*c)*exp(1)^(a-1/4*b^2/c)*%pi^(1/2)*_ erfi(1/2*(b+2*c*x)/c^(1/2))/c^(7/2) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue --R )what op erfi --R to learn if there is any operation containing " erfi " in its --R name. --R --R Cannot find a definition or applicable library operation named erfi --R with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 207 --S 208 of 578 a0041:= integrate(t0041,x) --R --R --R x 2 --R ++ 3 %A c + %A b + a --R (195) | %A %e d%A --R ++ --R Type: Union(Expression(Integer),...) --E 208 --S 209 of 578 m0041:= a0041-r0041 --R --R --R x 2 --R ++ 3 %A c + %A b + a --R (196) | %A %e d%A - r0041 --R ++ --R Type: Expression(Integer) --E 209 --S 210 of 578 d0041:= D(m0041,x) --R --R --R 2 --R 3 c x + b x + a --R (197) x %e --R Type: Expression(Integer) --E 210 --S 211 of 578 t0042:= x^2*exp(1)^(a+b*x+c*x^2) --R --R --R 2 --R 2 c x + b x + a --R (198) x %e --R Type: Expression(Integer) --E 211 --S 212 of 578 r0042:= -1/4*b*exp(1)^(a+b*x+c*x^2)/c^2+1/2*exp(1)^(a+b*x+c*x^2)*x/c+_ 1/8*(b^2-2*c)*exp(1)^(a-1/4*b^2/c)*%pi^(1/2)*_ erfi(1/2*(b+2*c*x)/c^(1/2))/c^(5/2) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue --R )what op erfi --R to learn if there is any operation containing " erfi " in its --R name. --R --R Cannot find a definition or applicable library operation named erfi --R with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 212 --S 213 of 578 a0042:= integrate(t0042,x) --R --R --R x 2 --R ++ 2 %A c + %A b + a --R (199) | %A %e d%A --R ++ --R Type: Union(Expression(Integer),...) --E 213 --S 214 of 578 m0042:= a0042-r0042 --R --R --R x 2 --R ++ 2 %A c + %A b + a --R (200) | %A %e d%A - r0042 --R ++ --R Type: Expression(Integer) --E 214 --S 215 of 578 d0042:= D(m0042,x) --R --R --R 2 --R 2 c x + b x + a --R (201) x %e --R Type: Expression(Integer) --E 215 --S 216 of 578 t0043:= x^3*exp(1)^((a+b*x)*(c+d*x)) --R --R --R 2 --R 3 b d x + (a d + b c)x + a c --R (202) x %e --R Type: Expression(Integer) --E 216 --S 217 of 578 r0043:= -1/2*exp(1)^(a*c+(b*c+a*d)*x+b*d*x^2)/b^2/d^2+_ 1/8*(b*c+a*d)^2*exp(1)^(a*c+(b*c+a*d)*x+b*d*x^2)/b^3/d^3-_ 1/4*(b*c+a*d)*exp(1)^(a*c+(b*c+a*d)*x+b*d*x^2)*x/b^2/d^2+_ 1/2*exp(1)^(a*c+(b*c+a*d)*x+b*d*x^2)*x^2/b/d-_ 1/16*(b^3*c^3-3*b^2*c*(2-a*c)*d-3*a*b*(2-a*c)*d^2+_ a^3*d^3)*%pi^(1/2)*erfi(1/2*(b*c+a*d+2*b*x*d)/b^(1/2)/d^(1/2))/_ (exp(1)^(1/4*(b*c-a*d)^2/b/d))/b^(7/2)/d^(7/2) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue --R )what op erfi --R to learn if there is any operation containing " erfi " in its --R name. --R --R Cannot find a definition or applicable library operation named erfi --R with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 217 --S 218 of 578 a0043:= integrate(t0043,x) --R --R --R x 2 --R ++ 3 (%A b + %A a)d + (%A b + a)c --R (203) | %A %e d%A --R ++ --R Type: Union(Expression(Integer),...) --E 218 --S 219 of 578 m0043:= a0043-r0043 --R --R --R x 2 --R ++ 3 (%A b + %A a)d + (%A b + a)c --R (204) | %A %e d%A - r0043 --R ++ --R Type: Expression(Integer) --E 219 --S 220 of 578 d0043:= D(m0043,x) --R --R --R 2 --R 3 b d x + (a d + b c)x + a c --R (205) x %e --R Type: Expression(Integer) --E 220 --S 221 of 578 t0044:= x^2*exp(1)^((a+b*x)*(c+d*x)) --R --R --R 2 --R 2 b d x + (a d + b c)x + a c --R (206) x %e --R Type: Expression(Integer) --E 221 --S 222 of 578 r0044:= -1/4*(b*c+a*d)*exp(1)^(a*c+(b*c+a*d)*x+b*d*x^2)/b^2/d^2+_ 1/2*exp(1)^(a*c+(b*c+a*d)*x+b*d*x^2)*x/b/d+_ 1/8*(b^2*c^2-2*b*(1-a*c)*d+a^2*d^2)*%pi^(1/2)*_ erfi(1/2*(b*c+a*d+2*b*x*d)/b^(1/2)/d^(1/2))/_ (exp(1)^(1/4*(b*c-a*d)^2/b/d))/b^(5/2)/d^(5/2) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue --R )what op erfi --R to learn if there is any operation containing " erfi " in its --R name. --R --R Cannot find a definition or applicable library operation named erfi --R with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 222 --S 223 of 578 a0044:= integrate(t0044,x) --R --R --R x 2 --R ++ 2 (%A b + %A a)d + (%A b + a)c --R (207) | %A %e d%A --R ++ --R Type: Union(Expression(Integer),...) --E 223 --S 224 of 578 m0044:= a0044-r0044 --R --R --R x 2 --R ++ 2 (%A b + %A a)d + (%A b + a)c --R (208) | %A %e d%A - r0044 --R ++ --R Type: Expression(Integer) --E 224 --S 225 of 578 d0044:= D(m0044,x) --R --R --R 2 --R 2 b d x + (a d + b c)x + a c --R (209) x %e --R Type: Expression(Integer) --E 225 --S 226 of 578 t0045:= x^3*f^(a+b*x+c*x^2) --R --R --R 2 --R 3 c x + b x + a --R (210) x f --R Type: Expression(Integer) --E 226 --S 227 of 578 r0045:= -1/2*f^(a+b*x+c*x^2)/c^2/log(f)^2+1/8*b^2*f^(a+b*x+c*x^2)/c^3/log(f)-_ 1/4*b*f^(a+b*x+c*x^2)*x/c^2/log(f)+1/2*f^(a+b*x+c*x^2)*x^2/c/log(f)+_ 1/16*b*f^(a-1/4*b^2/c)*%pi^(1/2)*_ erfi(1/2*(b+2*c*x)*log(f)^(1/2)/c^(1/2))*_ (6*c-b^2*log(f))/c^(7/2)/log(f)^(3/2) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue --R )what op erfi --R to learn if there is any operation containing " erfi " in its --R name. --R --R Cannot find a definition or applicable library operation named erfi --R with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 227 --S 228 of 578 a0045:= integrate(t0045,x) --R --R --R x 2 --R ++ 3 %A c + %A b + a --R (211) | %A f d%A --R ++ --R Type: Union(Expression(Integer),...) --E 228 --S 229 of 578 m0045:= a0045-r0045 --R --R --R x 2 --R ++ 3 %A c + %A b + a --R (212) | %A f d%A - r0045 --R ++ --R Type: Expression(Integer) --E 229 --S 230 of 578 d0045:= D(m0045,x) --R --R --R 2 --R 3 c x + b x + a --R (213) x f --R Type: Expression(Integer) --E 230 --S 231 of 578 t0046:= x^2*f^(a+b*x+c*x^2) --R --R --R 2 --R 2 c x + b x + a --R (214) x f --R Type: Expression(Integer) --E 231 --S 232 of 578 r0046:= -1/4*b*f^(a+b*x+c*x^2)/c^2/log(f)+1/2*f^(a+b*x+c*x^2)*x/c/log(f)-_ 1/8*f^(a-1/4*b^2/c)*%pi^(1/2)*erfi(1/2*(b+2*c*x)*_ log(f)^(1/2)/c^(1/2))*(2*c-b^2*log(f))/c^(5/2)/log(f)^(3/2) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue --R )what op erfi --R to learn if there is any operation containing " erfi " in its --R name. --R --R Cannot find a definition or applicable library operation named erfi --R with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 232 --S 233 of 578 a0046:= integrate(t0046,x) --R --R --R x 2 --R ++ 2 %A c + %A b + a --R (215) | %A f d%A --R ++ --R Type: Union(Expression(Integer),...) --E 233 --S 234 of 578 m0046:= a0046-r0046 --R --R --R x 2 --R ++ 2 %A c + %A b + a --R (216) | %A f d%A - r0046 --R ++ --R Type: Expression(Integer) --E 234 --S 235 of 578 d0046:= D(m0046,x) --R --R --R 2 --R 2 c x + b x + a --R (217) x f --R Type: Expression(Integer) --E 235 --S 236 of 578 t0047:= (d+e*x)^3*f^(a+b*x+c*x^2) --R --R --R 2 --R 3 3 2 2 2 3 c x + b x + a --R (218) (e x + 3d e x + 3d e x + d )f --R Type: Expression(Integer) --E 236 --S 237 of 578 r0047:= -1/2*e^3*f^(a+b*x+c*x^2)/c^2/log(f)^2+_ 1/8*e*(2*c*d-b*e)^2*f^(a+b*x+c*x^2)/c^3/log(f)+_ 1/4*e*(2*c*d-b*e)*f^(a+b*x+c*x^2)*(d+e*x)/c^2/log(f)+_ 1/2*e*f^(a+b*x+c*x^2)*(d+e*x)^2/c/log(f)-_ 1/16*(2*c*d-b*e)*f^(a-1/4*b^2/c)*%pi^(1/2)*_ erfi(1/2*(b+2*c*x)*log(f)^(1/2)/c^(1/2))*_ (6*c*e^2-(2*c*d-b*e)^2*log(f))/c^(7/2)/log(f)^(3/2) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue --R )what op erfi --R to learn if there is any operation containing " erfi " in its --R name. --R --R Cannot find a definition or applicable library operation named erfi --R with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 237 --S 238 of 578 a0047:= integrate(t0047,x) --R --R --R x 2 --R ++ 3 3 2 2 2 3 %A c + %A b + a --R (219) | (%A e + 3%A d e + 3%A d e + d )f d%A --R ++ --R Type: Union(Expression(Integer),...) --E 238 --S 239 of 578 m0047:= a0047-r0047 --R --R --R x 2 --R ++ 3 3 2 2 2 3 %A c + %A b + a --R (220) | (%A e + 3%A d e + 3%A d e + d )f d%A - r0047 --R ++ --R Type: Expression(Integer) --E 239 --S 240 of 578 d0047:= D(m0047,x) --R --R --R 2 --R 3 3 2 2 2 3 c x + b x + a --R (221) (e x + 3d e x + 3d e x + d )f --R Type: Expression(Integer) --E 240 --S 241 of 578 t0048:= (d+e*x)^2*f^(a+b*x+c*x^2) --R --R --R 2 --R 2 2 2 c x + b x + a --R (222) (e x + 2d e x + d )f --R Type: Expression(Integer) --E 241 --S 242 of 578 r0048:= 1/4*e*(4*c*d-b*e)*f^(a+b*x+c*x^2)/c^2/log(f)+_ 1/2*e^2*f^(a+b*x+c*x^2)*x/c/log(f)-_ 1/8*f^(a-1/4*b^2/c)*%pi^(1/2)*_ erfi(1/2*(b+2*c*x)*log(f)^(1/2)/c^(1/2))*_ (2*c*e^2-(2*c*d-b*e)^2*log(f))/c^(5/2)/log(f)^(3/2) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue --R )what op erfi --R to learn if there is any operation containing " erfi " in its --R name. --R --R Cannot find a definition or applicable library operation named erfi --R with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 242 --S 243 of 578 a0048:= integrate(t0048,x) --R --R --R x 2 --R ++ 2 2 2 %A c + %A b + a --R (223) | (%A e + 2%A d e + d )f d%A --R ++ --R Type: Union(Expression(Integer),...) --E 243 --S 244 of 578 m0048:= a0048-r0048 --R --R --R x 2 --R ++ 2 2 2 %A c + %A b + a --R (224) | (%A e + 2%A d e + d )f d%A - r0048 --R ++ --R Type: Expression(Integer) --E 244 --S 245 of 578 d0048:= D(m0048,x) --R --R --R 2 --R 2 2 2 c x + b x + a --R (225) (e x + 2d e x + d )f --R Type: Expression(Integer) --E 245 --S 246 of 578 t0049:= (d+e*x)*f^(a+b*x+c*x^2) --R --R --R 2 --R c x + b x + a --R (226) (e x + d)f --R Type: Expression(Integer) --E 246 --S 247 of 578 r0049:= 1/2*e*f^(a+b*x+c*x^2)/c/log(f)+1/4*(2*c*d-b*e)*_ f^(a-1/4*b^2/c)*%pi^(1/2)*erfi(1/2*(b+2*c*x)*_ log(f)^(1/2)/c^(1/2))/c^(3/2)/log(f)^(1/2) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue --R )what op erfi --R to learn if there is any operation containing " erfi " in its --R name. --R --R Cannot find a definition or applicable library operation named erfi --R with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 247 --S 248 of 578 a0049:= integrate(t0049,x) --R --R --R x 2 --R ++ %A c + %A b + a --R (227) | (%A e + d)f d%A --R ++ --R Type: Union(Expression(Integer),...) --E 248 --S 249 of 578 m0049:= a0049-r0049 --R --R --R x 2 --R ++ %A c + %A b + a --R (228) | (%A e + d)f d%A - r0049 --R ++ --R Type: Expression(Integer) --E 249 --S 250 of 578 d0049:= D(m0049,x) --R --R --R 2 --R c x + b x + a --R (229) (e x + d)f --R Type: Expression(Integer) --E 250 --S 251 of 578 t0050:= (b+2*c*x)^2*f^(a+b*x+c*x^2) --R --R --R 2 --R 2 2 2 c x + b x + a --R (230) (4c x + 4b c x + b )f --R Type: Expression(Integer) --E 251 --S 252 of 578 r0050:= -c^(1/2)*f^(a-1/4*b^2/c)*%pi^(1/2)*erfi(1/2*(b+2*c*x)*_ log(f)^(1/2)/c^(1/2))/log(f)^(3/2)+f^(a+b*x+c*x^2)*(b+2*c*x)/log(f) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue --R )what op erfi --R to learn if there is any operation containing " erfi " in its --R name. --R --R Cannot find a definition or applicable library operation named erfi --R with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 252 --S 253 of 578 a0050:= integrate(t0050,x) --R --R --R x 2 --R ++ 2 2 2 %A c + %A b + a --R (231) | (4%A c + 4%A b c + b )f d%A --R ++ --R Type: Union(Expression(Integer),...) --E 253 --S 254 of 578 m0050:= a0050-r0050 --R --R --R x 2 --R ++ 2 2 2 %A c + %A b + a --R (232) | (4%A c + 4%A b c + b )f d%A - r0050 --R ++ --R Type: Expression(Integer) --E 254 --S 255 of 578 d0050:= D(m0050,x) --R --R --R 2 --R 2 2 2 c x + b x + a --R (233) (4c x + 4b c x + b )f --R Type: Expression(Integer) --E 255 --S 256 of 578 t0051:= f^(a+b*x^n)*g^(c+d*x^n) --R --R --R n n --R b x + a d x + c --R (234) f g --R Type: Expression(Integer) --E 256 --S 257 of 578 r0051:= -f^a*g^c*x*Gamma(1/n,-x^n*(b*log(f)+d*log(g)))/_ ((-x^n*(b*log(f)+d*log(g)))^(1/n))/n --R --R --R a c _ 1 n --R x f g | (-,(- d log(g) - b log(f))x ) --R n --R (235) - ------------------------------------- --R 1 --R - --R n n --R n ((- d log(g) - b log(f))x ) --R Type: Expression(Integer) --E 257 --S 258 of 578 a0051:= integrate(t0051,x) --R --R --R x n n --R ++ b %A + a d %A + c --R (236) | f g d%A --R ++ --R Type: Union(Expression(Integer),...) --E 258 --S 259 of 578 m0051:= a0051-r0051 --R --R --R (237) --R 1 --R - x n n --R n n ++ b %A + a d %A + c --R n ((- d log(g) - b log(f))x ) | f g d%A --R ++ --R + --R a c _ 1 n --R x f g | (-,(- d log(g) - b log(f))x ) --R n --R / --R 1 --R - --R n n --R n ((- d log(g) - b log(f))x ) --R Type: Expression(Integer) --E 259 --S 260 of 578 d0051:= D(m0051,x) --R --R --R (238) --R 1 --R - --R a c n n --R f g ((- d log(g) - b log(f))x ) --R + --R - n + 1 --R ------- --R a c n - 1 n n --R (d x log(g) + b x log(f))f g x ((- d log(g) - b log(f))x ) --R * --R _ 1 n --R | (-,(- d log(g) - b log(f))x ) --R n --R + --R 1 2 --R - n n --R n n b x + a d x + c --R n (((- d log(g) - b log(f))x ) ) f g --R + --R n --R a c n - 1 (d log(g) + b log(f))x --R (d n x log(g) + b n x log(f))f g x %e --R * --R - n + 1 1 --R ------- - --R n n n n --R ((- d log(g) - b log(f))x ) ((- d log(g) - b log(f))x ) --R / --R 1 2 --R - --R n n --R n (((- d log(g) - b log(f))x ) ) --R Type: Expression(Integer) --E 260 --S 261 of 578 t0052:= exp(1)^(4*x)/(a+b*exp(1)^(2*x))^(2/3) --R --R --R 4x --R %e --R (239) -------------- --R +----------+2 --R 3| 2x --R \|b %e + a --R Type: Expression(Integer) --E 261 --S 262 of 578 r0052:= 3/8*(a+b*exp(2*x))^(1/3)*(-3*a+b*exp(2*x))/b^2 --R --R --R +----------+ --R 2x 3| 2x --R (3b %e - 9a)\|b %e + a --R (240) --------------------------- --R 2 --R 8b --R Type: Expression(Integer) --E 262 --S 263 of 578 a0052:= integrate(t0052,x) --R --R --R +----------+ --R 2x 3| 2x --R (3b %e - 9a)\|b %e + a --R (241) --------------------------- --R 2 --R 8b --R Type: Union(Expression(Integer),...) --E 263 --S 264 of 578 m0052:= a0052-r0052 --R --R --R (242) 0 --R Type: Expression(Integer) --E 264 --S 265 of 578 d0052:= D(m0052,x) --R --R --R (243) 0 --R Type: Expression(Integer) --E 265 --S 266 of 578 t0053:= f^(a+b*x)/(c+d*f^(e+2*b*x)) --R --R --R b x + a --R f --R (244) --------------- --R 2b x + e --R d f + c --R Type: Expression(Integer) --E 266 --S 267 of 578 r0053:= f^(a-1/2*e)*_ arctan(d^(1/2)*f^(1/2*e+b*x)/c^(1/2))/b/c^(1/2)/d^(1/2)/log(f) --R --R There are no library operations named arctan --R Use HyperDoc Browse or issue --R )what op arctan --R to learn if there is any operation containing " arctan " in its --R name. --R --R Cannot find a definition or applicable library operation named --R arctan with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 267 --S 268 of 578 a0053:= integrate(t0053,x) --R --R --R (245) --R [ --R log --R (e - 2a)log(f) (b x + a)log(f) 2 --R (d %e (%e ) - c) --R * --R +----------------------+ --R | (e - 2a)log(f) --R \|- c d %e --R + --R (e - 2a)log(f) (b x + a)log(f) --R 2c d %e %e --R / --R (e - 2a)log(f) (b x + a)log(f) 2 --R d %e (%e ) + c --R / --R +----------------------+ --R | (e - 2a)log(f) --R 2b log(f)\|- c d %e --R , --R +--------------------+ --R (b x + a)log(f) | (e - 2a)log(f) --R %e \|c d %e --R atan(----------------------------------------) --R c --R ----------------------------------------------] --R +--------------------+ --R | (e - 2a)log(f) --R b log(f)\|c d %e --R Type: Union(List(Expression(Integer)),...) --E 268 --S 269 of 578 m0053a:= a0053.1-r0053 --R --R --R (246) --R log --R (e - 2a)log(f) (b x + a)log(f) 2 --R (d %e (%e ) - c) --R * --R +----------------------+ --R | (e - 2a)log(f) --R \|- c d %e --R + --R (e - 2a)log(f) (b x + a)log(f) --R 2c d %e %e --R / --R (e - 2a)log(f) (b x + a)log(f) 2 --R d %e (%e ) + c --R + --R +----------------------+ --R | (e - 2a)log(f) --R - 2b r0053 log(f)\|- c d %e --R / --R +----------------------+ --R | (e - 2a)log(f) --R 2b log(f)\|- c d %e --R Type: Expression(Integer) --E 269 --S 270 of 578 d0053a:= D(m0053a,x) --R --R --R (b x + a)log(f) --R %e --R (247) ------------------------------------------ --R (e - 2a)log(f) (b x + a)log(f) 2 --R d %e (%e ) + c --R Type: Expression(Integer) --E 270 --S 271 of 578 m0053b:= a0053.2-r0053 --R --R --R (248) --R +--------------------+ --R (b x + a)log(f) | (e - 2a)log(f) --R %e \|c d %e --R atan(----------------------------------------) --R c --R + --R +--------------------+ --R | (e - 2a)log(f) --R - b r0053 log(f)\|c d %e --R / --R +--------------------+ --R | (e - 2a)log(f) --R b log(f)\|c d %e --R Type: Expression(Integer) --E 271 --S 272 of 578 d0053b:= D(m0053b,x) --R --R --R (b x + a)log(f) --R %e --R (249) ------------------------------------------ --R (e - 2a)log(f) (b x + a)log(f) 2 --R d %e (%e ) + c --R Type: Expression(Integer) --E 272 --S 273 of 578 t0054:= f^(a+2*b*x)/(c+d*f^(e+2*b*x)) --R --R --R 2b x + a --R f --R (250) --------------- --R 2b x + e --R d f + c --R Type: Expression(Integer) --E 273 --S 274 of 578 r0054:= 1/2*f^(a-e)*log(c+d*f^(e+2*b*x))/b/d/log(f) --R --R --R - e + a 2b x + e --R f log(d f + c) --R (251) ---------------------------- --R 2b d log(f) --R Type: Expression(Integer) --E 274 --S 275 of 578 a0054:= integrate(t0054,x) --R --R --R (- e + a)log(f) (2b x + e)log(f) --R %e log(d %e + c) --R (252) ---------------------------------------------- --R 2b d log(f) --R Type: Union(Expression(Integer),...) --E 275 --S 276 of 578 m0054:= a0054-r0054 --R --R --R (253) --R (- e + a)log(f) (2b x + e)log(f) - e + a 2b x + e --R %e log(d %e + c) - f log(d f + c) --R ----------------------------------------------------------------------------- --R 2b d log(f) --R Type: Expression(Integer) --E 276 --S 277 of 578 d0054:= D(m0054,x) --R --R --R (254) --R 2b x + e (- e + a)log(f) - e + a 2b x + e --R ((d f + c)%e - d f f ) --R * --R (2b x + e)log(f) --R %e --R + --R - e + a 2b x + e --R - c f f --R / --R 2 2b x + e (2b x + e)log(f) 2b x + e 2 --R (d f + c d)%e + c d f + c --R Type: Expression(Integer) --E 277 --S 278 of 578 t0055:= f^(a+3*b*x)/(c+d*f^(e+2*b*x)) --R --R --R 3b x + a --R f --R (255) --------------- --R 2b x + e --R d f + c --R Type: Expression(Integer) --E 278 --S 279 of 578 r0055:= -(-f^(a-e+b*x)*d^(1/2)+c^(1/2)*f^(a-2*e)*(f^e)^(1/2)*_ arctan(d^(1/2)*f^(b*x)*(f^e)^(1/2)/c^(1/2)))/b/d^(3/2)/log(f) --R --R There are no library operations named arctan --R Use HyperDoc Browse or issue --R )what op arctan --R to learn if there is any operation containing " arctan " in its --R name. --R --R Cannot find a definition or applicable library operation named --R arctan with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 279 --S 280 of 578 a0055:= integrate(t0055,x) --R --R --R (256) --R [ --R (- 3e + 2a)log(f) --R +---+ ----------------- --R | c 2 --R |- - %e --R \| d --R * --R (2b x + e)log(f) 2 (2b x + e)log(f) --R ---------------- +---+ ---------------- --R 2 | c 2 --R d (%e ) - 2d |- - %e - c --R \| d --R log(--------------------------------------------------------) --R (2b x + e)log(f) 2 --R ---------------- --R 2 --R d (%e ) + c --R + --R (- 3e + 2a)log(f) (2b x + e)log(f) --R ----------------- ---------------- --R 2 2 --R 2%e %e --R / --R 2b d log(f) --R , --R --R (2b x + e)log(f) --R (- 3e + 2a)log(f) ---------------- --R +-+ ----------------- 2 --R |c 2 %e --R - |- %e atan(------------------) --R \|d +-+ --R |c --R |- --R \|d --R + --R (- 3e + 2a)log(f) (2b x + e)log(f) --R ----------------- ---------------- --R 2 2 --R %e %e --R / --R b d log(f) --R ] --R Type: Union(List(Expression(Integer)),...) --E 280 --S 281 of 578 m0055a:= a0055.1-r0055 --R --R --R (257) --R (- 3e + 2a)log(f) --R +---+ ----------------- --R | c 2 --R |- - %e --R \| d --R * --R (2b x + e)log(f) 2 (2b x + e)log(f) --R ---------------- +---+ ---------------- --R 2 | c 2 --R d (%e ) - 2d |- - %e - c --R \| d --R log(--------------------------------------------------------) --R (2b x + e)log(f) 2 --R ---------------- --R 2 --R d (%e ) + c --R + --R (- 3e + 2a)log(f) (2b x + e)log(f) --R ----------------- ---------------- --R 2 2 --R 2%e %e - 2b d r0055 log(f) --R / --R 2b d log(f) --R Type: Expression(Integer) --E 281 --S 282 of 578 d0055a:= D(m0055a,x) --R --R --R (- 3e + 2a)log(f) (2b x + e)log(f) 3 --R ----------------- ---------------- --R 2 2 --R %e (%e ) --R (258) ---------------------------------------- --R (2b x + e)log(f) 2 --R ---------------- --R 2 --R d (%e ) + c --R Type: Expression(Integer) --E 282 --S 283 of 578 m0055b:= a0055.2-r0055 --R --R --R (259) --R (2b x + e)log(f) --R (- 3e + 2a)log(f) ---------------- --R +-+ ----------------- 2 --R |c 2 %e --R - |- %e atan(------------------) --R \|d +-+ --R |c --R |- --R \|d --R + --R (- 3e + 2a)log(f) (2b x + e)log(f) --R ----------------- ---------------- --R 2 2 --R %e %e - b d r0055 log(f) --R / --R b d log(f) --R Type: Expression(Integer) --E 283 --S 284 of 578 d0055b:= D(m0055b,x) --R --R --R (- 3e + 2a)log(f) (2b x + e)log(f) 3 --R ----------------- ---------------- --R 2 2 --R %e (%e ) --R (260) ---------------------------------------- --R (2b x + e)log(f) 2 --R ---------------- --R 2 --R d (%e ) + c --R Type: Expression(Integer) --E 284 --S 285 of 578 t0056:= f^(a+5*b*x)/(c+d*f^(e+2*b*x)) --R --R --R 5b x + a --R f --R (261) --------------- --R 2b x + e --R d f + c --R Type: Expression(Integer) --E 285 --S 286 of 578 r0056:= -1/3/d^(5/2)*(3*c*f^(a-2*e+b*x)*d^(1/2)-f^(a-e+3*b*x)*d^(3/2)-_ 3*c^(3/2)*f^(a-3*e)*(f^e)^(1/2)*_ arctan(d^(1/2)*f^(b*x)*(f^e)^(1/2)/c^(1/2)))/b/log(f) --R --R There are no library operations named arctan --R Use HyperDoc Browse or issue --R )what op arctan --R to learn if there is any operation containing " arctan " in its --R name. --R --R Cannot find a definition or applicable library operation named --R arctan with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 286 --S 287 of 578 a0056:= integrate(t0056,x) --R --R --R (262) --R [ --R (- 5e + 2a)log(f) --R +---+ ----------------- --R | c 2 --R 3c |- - %e --R \| d --R * --R (2b x + e)log(f) 2 (2b x + e)log(f) --R ---------------- +---+ ---------------- --R 2 | c 2 --R d (%e ) + 2d |- - %e - c --R \| d --R log(--------------------------------------------------------) --R (2b x + e)log(f) 2 --R ---------------- --R 2 --R d (%e ) + c --R + --R (- 5e + 2a)log(f) (2b x + e)log(f) 3 --R ----------------- ---------------- --R 2 2 --R 2d %e (%e ) --R + --R (- 5e + 2a)log(f) (2b x + e)log(f) --R ----------------- ---------------- --R 2 2 --R - 6c %e %e --R / --R 2 --R 6b d log(f) --R , --R --R (2b x + e)log(f) --R (- 5e + 2a)log(f) ---------------- --R +-+ ----------------- 2 --R |c 2 %e --R 3c |- %e atan(------------------) --R \|d +-+ --R |c --R |- --R \|d --R + --R (- 5e + 2a)log(f) (2b x + e)log(f) 3 --R ----------------- ---------------- --R 2 2 --R d %e (%e ) --R + --R (- 5e + 2a)log(f) (2b x + e)log(f) --R ----------------- ---------------- --R 2 2 --R - 3c %e %e --R / --R 2 --R 3b d log(f) --R ] --R Type: Union(List(Expression(Integer)),...) --E 287 --S 288 of 578 m0056a:= a0056.1-r0056 --R --R --R (263) --R (- 5e + 2a)log(f) --R +---+ ----------------- --R | c 2 --R 3c |- - %e --R \| d --R * --R (2b x + e)log(f) 2 (2b x + e)log(f) --R ---------------- +---+ ---------------- --R 2 | c 2 --R d (%e ) + 2d |- - %e - c --R \| d --R log(--------------------------------------------------------) --R (2b x + e)log(f) 2 --R ---------------- --R 2 --R d (%e ) + c --R + --R (- 5e + 2a)log(f) (2b x + e)log(f) 3 --R ----------------- ---------------- --R 2 2 --R 2d %e (%e ) --R + --R (- 5e + 2a)log(f) (2b x + e)log(f) --R ----------------- ---------------- --R 2 2 2 --R - 6c %e %e - 6b d r0056 log(f) --R / --R 2 --R 6b d log(f) --R Type: Expression(Integer) --E 288 --S 289 of 578 d0056a:= D(m0056a,x) --R --R --R (- 5e + 2a)log(f) (2b x + e)log(f) 5 --R ----------------- ---------------- --R 2 2 --R %e (%e ) --R (264) ---------------------------------------- --R (2b x + e)log(f) 2 --R ---------------- --R 2 --R d (%e ) + c --R Type: Expression(Integer) --E 289 --S 290 of 578 m0056b:= a0056.2-r0056 --R --R --R (265) --R (2b x + e)log(f) --R (- 5e + 2a)log(f) ---------------- --R +-+ ----------------- 2 --R |c 2 %e --R 3c |- %e atan(------------------) --R \|d +-+ --R |c --R |- --R \|d --R + --R (- 5e + 2a)log(f) (2b x + e)log(f) 3 --R ----------------- ---------------- --R 2 2 --R d %e (%e ) --R + --R (- 5e + 2a)log(f) (2b x + e)log(f) --R ----------------- ---------------- --R 2 2 2 --R - 3c %e %e - 3b d r0056 log(f) --R / --R 2 --R 3b d log(f) --R Type: Expression(Integer) --E 290 --S 291 of 578 d0056b:= D(m0056b,x) --R --R --R (- 5e + 2a)log(f) (2b x + e)log(f) 5 --R ----------------- ---------------- --R 2 2 --R %e (%e ) --R (266) ---------------------------------------- --R (2b x + e)log(f) 2 --R ---------------- --R 2 --R d (%e ) + c --R Type: Expression(Integer) --E 291 --S 292 of 578 t0057:= x*exp(x)/(1+exp(1)^(2*x)) --R --R --R x --R x %e --R (267) -------- --R 2x --R %e + 1 --R Type: Expression(Integer) --E 292 --S 293 of 578 r0057:= x*arctan(exp(x))-_ 1/2*%i*polylog(2,-%i*exp(x))+_ 1/2*%i*polylog(2,%i*exp(x)) --R --R There are no library operations named arctan --R Use HyperDoc Browse or issue --R )what op arctan --R to learn if there is any operation containing " arctan " in its --R name. --R --R Cannot find a definition or applicable library operation named --R arctan with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 293 --S 294 of 578 a0057:= integrate(t0057,x) --R --R --R x %A --R ++ %A %e --R (268) | --------- d%A --R ++ 2%A --R %e + 1 --R Type: Union(Expression(Integer),...) --E 294 --S 295 of 578 m0057:= a0057-r0057 --R --R --R x %A --R ++ %A %e --R (269) | --------- d%A - r0057 --R ++ 2%A --R %e + 1 --R Type: Expression(Integer) --E 295 --S 296 of 578 d0057:= D(m0057,x) --R --R --R x --R x %e --R (270) -------- --R 2x --R %e + 1 --R Type: Expression(Integer) --E 296 --S 297 of 578 t0058:= x^2*exp(x)/(1+exp(1)^(2*x)) --R --R --R 2 x --R x %e --R (271) -------- --R 2x --R %e + 1 --R Type: Expression(Integer) --E 297 --S 298 of 578 r0058:= x^2*arctan(exp(x))-%i*x*_ polylog(2,-%i*exp(x))+%i*x*polylog(2,%i*exp(x))+_ %i*polylog(3,-%i*exp(x))-%i*polylog(3,%i*exp(x)) --R --R There are no library operations named arctan --R Use HyperDoc Browse or issue --R )what op arctan --R to learn if there is any operation containing " arctan " in its --R name. --R --R Cannot find a definition or applicable library operation named --R arctan with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 298 --S 299 of 578 a0058:= integrate(t0058,x) --R --R --R x 2 %A --R ++ %A %e --R (272) | --------- d%A --R ++ 2%A --R %e + 1 --R Type: Union(Expression(Integer),...) --E 299 --S 300 of 578 m0058:= a0058-r0058 --R --R --R x 2 %A --R ++ %A %e --R (273) | --------- d%A - r0058 --R ++ 2%A --R %e + 1 --R Type: Expression(Integer) --E 300 --S 301 of 578 d0058:= D(m0058,x) --R --R --R 2 x --R x %e --R (274) -------- --R 2x --R %e + 1 --R Type: Expression(Integer) --E 301 --S 302 of 578 t0059:= x^3*exp(x)/(1+exp(1)^(2*x)) --R --R --R 3 x --R x %e --R (275) -------- --R 2x --R %e + 1 --R Type: Expression(Integer) --E 302 --S 303 of 578 r0059:= x^3*arctan(exp(x))-3/2*%i*x^2*polylog(2,-%i*exp(x))+_ 3/2*%i*x^2*polylog(2,%i*exp(x))+_ 3*%i*x*polylog(3,-%i*exp(x))-_ 3*%i*x*polylog(3,%i*exp(x))-_ 3*%i*polylog(4,-%i*exp(x))+_ 3*%i*polylog(4,%i*exp(x)) --R --R There are no library operations named arctan --R Use HyperDoc Browse or issue --R )what op arctan --R to learn if there is any operation containing " arctan " in its --R name. --R --R Cannot find a definition or applicable library operation named --R arctan with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 303 --S 304 of 578 a0059:= integrate(t0059,x) --R --R --R x 3 %A --R ++ %A %e --R (276) | --------- d%A --R ++ 2%A --R %e + 1 --R Type: Union(Expression(Integer),...) --E 304 --S 305 of 578 m0059:= a0059-r0059 --R --R --R x 3 %A --R ++ %A %e --R (277) | --------- d%A - r0059 --R ++ 2%A --R %e + 1 --R Type: Expression(Integer) --E 305 --S 306 of 578 d0059:= D(m0059,x) --R --R --R 3 x --R x %e --R (278) -------- --R 2x --R %e + 1 --R Type: Expression(Integer) --E 306 --S 307 of 578 t0060:= x*exp(x)/(1-exp(1)^(2*x)) --R --R --R x --R x %e --R (279) - -------- --R 2x --R %e - 1 --R Type: Expression(Integer) --E 307 --S 308 of 578 r0060:= x*arctanh(exp(x))+1/2*polylog(2,-exp(x))-1/2*polylog(2,exp(x)) --R --R There are no library operations named arctanh --R Use HyperDoc Browse or issue --R )what op arctanh --R to learn if there is any operation containing " arctanh " in its --R name. --R --R Cannot find a definition or applicable library operation named --R arctanh with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 308 --S 309 of 578 a0060:= integrate(t0060,x) --R --R --R x %A --R ++ %A %e --R (280) | - --------- d%A --R ++ 2%A --R %e - 1 --R Type: Union(Expression(Integer),...) --E 309 --S 310 of 578 m0060:= a0060-r0060 --R --R --R x %A --R ++ %A %e --R (281) | - --------- d%A - r0060 --R ++ 2%A --R %e - 1 --R Type: Expression(Integer) --E 310 --S 311 of 578 d0060:= D(m0060,x) --R --R --R x --R x %e --R (282) - -------- --R 2x --R %e - 1 --R Type: Expression(Integer) --E 311 --S 312 of 578 t0061:= x^2*exp(x)/(1-exp(1)^(2*x)) --R --R --R 2 x --R x %e --R (283) - -------- --R 2x --R %e - 1 --R Type: Expression(Integer) --E 312 --S 313 of 578 r0061:= x^2*arctanh(exp(x))+x*polylog(2,-exp(x))-_ x*polylog(2,exp(x))-_ polylog(3,-exp(x))+polylog(3,exp(x)) --R --R There are no library operations named arctanh --R Use HyperDoc Browse or issue --R )what op arctanh --R to learn if there is any operation containing " arctanh " in its --R name. --R --R Cannot find a definition or applicable library operation named --R arctanh with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 313 --S 314 of 578 a0061:= integrate(t0061,x) --R --R --R x 2 %A --R ++ %A %e --R (284) | - --------- d%A --R ++ 2%A --R %e - 1 --R Type: Union(Expression(Integer),...) --E 314 --S 315 of 578 m0061:= a0061-r0061 --R --R --R x 2 %A --R ++ %A %e --R (285) | - --------- d%A - r0061 --R ++ 2%A --R %e - 1 --R Type: Expression(Integer) --E 315 --S 316 of 578 d0061:= D(m0061,x) --R --R --R 2 x --R x %e --R (286) - -------- --R 2x --R %e - 1 --R Type: Expression(Integer) --E 316 --S 317 of 578 t0062:= x^3*exp(x)/(1-exp(1)^(2*x)) --R --R --R 3 x --R x %e --R (287) - -------- --R 2x --R %e - 1 --R Type: Expression(Integer) --E 317 --S 318 of 578 r0062:= x^3*arctanh(exp(x))+3/2*x^2*polylog(2,-exp(x))-_ 3/2*x^2*polylog(2,exp(x))-3*x*polylog(3,-exp(x))+_ 3*x*polylog(3,exp(x))+3*polylog(4,-exp(x))-3*polylog(4,exp(x)) --R --R There are no library operations named arctanh --R Use HyperDoc Browse or issue --R )what op arctanh --R to learn if there is any operation containing " arctanh " in its --R name. --R --R Cannot find a definition or applicable library operation named --R arctanh with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 318 --S 319 of 578 a0062:= integrate(t0062,x) --R --R --R x 3 %A --R ++ %A %e --R (288) | - --------- d%A --R ++ 2%A --R %e - 1 --R Type: Union(Expression(Integer),...) --E 319 --S 320 of 578 m0062:= a0062-r0062 --R --R --R x 3 %A --R ++ %A %e --R (289) | - --------- d%A - r0062 --R ++ 2%A --R %e - 1 --R Type: Expression(Integer) --E 320 --S 321 of 578 d0062:= D(m0062,x) --R --R --R 3 x --R x %e --R (290) - -------- --R 2x --R %e - 1 --R Type: Expression(Integer) --E 321 --S 322 of 578 t0063:= f^x/(a+b*f^(2*x)) --R --R --R x --R f --R (291) --------- --R 2x --R b f + a --R Type: Expression(Integer) --E 322 --S 323 of 578 r0063:= arctan(b^(1/2)*f^x/a^(1/2))/a^(1/2)/b^(1/2)/log(f) --R --R There are no library operations named arctan --R Use HyperDoc Browse or issue --R )what op arctan --R to learn if there is any operation containing " arctan " in its --R name. --R --R Cannot find a definition or applicable library operation named --R arctan with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 323 --S 324 of 578 a0063:= integrate(t0063,x) --R --R --R (292) --R +-----+ x log(f) 2 x log(f) +-----+ --R b\|- a b (%e ) + 2a b %e - a\|- a b --R log(----------------------------------------------------) --R x log(f) 2 --R b (%e ) + a --R [---------------------------------------------------------, --R +-----+ --R 2log(f)\|- a b --R +---+ x log(f) --R \|a b %e --R atan(----------------) --R a --R ----------------------] --R +---+ --R log(f)\|a b --R Type: Union(List(Expression(Integer)),...) --E 324 --S 325 of 578 m0063a:= a0063.1-r0063 --R --R --R (293) --R +-----+ x log(f) 2 x log(f) +-----+ --R b\|- a b (%e ) + 2a b %e - a\|- a b --R log(----------------------------------------------------) --R x log(f) 2 --R b (%e ) + a --R + --R +-----+ --R - 2r0063 log(f)\|- a b --R / --R +-----+ --R 2log(f)\|- a b --R Type: Expression(Integer) --E 325 --S 326 of 578 d0063a:= D(m0063a,x) --R --R --R x log(f) --R %e --R (294) ------------------- --R x log(f) 2 --R b (%e ) + a --R Type: Expression(Integer) --E 326 --S 327 of 578 m0063b:= a0063.2-r0063 --R --R --R +---+ x log(f) --R \|a b %e +---+ --R atan(----------------) - r0063 log(f)\|a b --R a --R (295) ------------------------------------------- --R +---+ --R log(f)\|a b --R Type: Expression(Integer) --E 327 --S 328 of 578 d0063b:= D(m0063b,x) --R --R --R x log(f) --R %e --R (296) ------------------- --R x log(f) 2 --R b (%e ) + a --R Type: Expression(Integer) --E 328 --S 329 of 578 t0064:= x*f^x/(a+b*f^(2*x)) --R --R --R x --R x f --R (297) --------- --R 2x --R b f + a --R Type: Expression(Integer) --E 329 --S 330 of 578 r0064:= 1/2*(2*x*arctan(b^(1/2)*f^x/a^(1/2))*log(f)-_ %i*polylog(2,-%i*b^(1/2)*f^x/a^(1/2))+_ %i*polylog(2,%i*b^(1/2)*f^x/a^(1/2)))/a^(1/2)/b^(1/2)/log(f)^2 --R --R There are no library operations named arctan --R Use HyperDoc Browse or issue --R )what op arctan --R to learn if there is any operation containing " arctan " in its --R name. --R --R Cannot find a definition or applicable library operation named --R arctan with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 330 --S 331 of 578 a0064:= integrate(t0064,x) --R --R --R x %A --R ++ %A f --R (298) | ---------- d%A --R ++ 2%A --R b f + a --R Type: Union(Expression(Integer),...) --E 331 --S 332 of 578 m0064:= a0064-r0064 --R --R --R x %A --R ++ %A f --R (299) | ---------- d%A - r0064 --R ++ 2%A --R b f + a --R Type: Expression(Integer) --E 332 --S 333 of 578 d0064:= D(m0064,x) --R --R --R x --R x f --R (300) --------- --R 2x --R b f + a --R Type: Expression(Integer) --E 333 --S 334 of 578 t0065:= x^2*f^x/(a+b*f^(2*x)) --R --R --R 2 x --R x f --R (301) --------- --R 2x --R b f + a --R Type: Expression(Integer) --E 334 --S 335 of 578 r0065:= (x^2*arctan(b^(1/2)*f^x/a^(1/2))*log(f)^2-_ %i*x*polylog(2,-%i*b^(1/2)*f^x/a^(1/2))*log(f)+_ %i*x*polylog(2,%i*b^(1/2)*f^x/a^(1/2))*log(f)+_ %i*polylog(3,-%i*b^(1/2)*f^x/a^(1/2))-_ %i*polylog(3,%i*b^(1/2)*f^x/a^(1/2)))/a^(1/2)/b^(1/2)/log(f)^3 --R --R There are no library operations named arctan --R Use HyperDoc Browse or issue --R )what op arctan --R to learn if there is any operation containing " arctan " in its --R name. --R --R Cannot find a definition or applicable library operation named --R arctan with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 335 --S 336 of 578 a0065:= integrate(t0065,x) --R --R --R x 2 %A --R ++ %A f --R (302) | ---------- d%A --R ++ 2%A --R b f + a --R Type: Union(Expression(Integer),...) --E 336 --S 337 of 578 m0065:= a0065-r0065 --R --R --R x 2 %A --R ++ %A f --R (303) | ---------- d%A - r0065 --R ++ 2%A --R b f + a --R Type: Expression(Integer) --E 337 --S 338 of 578 d0065:= D(m0065,x) --R --R --R 2 x --R x f --R (304) --------- --R 2x --R b f + a --R Type: Expression(Integer) --E 338 --S 339 of 578 t0066:= x^3*f^x/(a+b*f^(2*x)) --R --R --R 3 x --R x f --R (305) --------- --R 2x --R b f + a --R Type: Expression(Integer) --E 339 --S 340 of 578 r0066:= 1/2*(2*x^3*arctan(b^(1/2)*f^x/a^(1/2))*log(f)^3-_ 3*%i*x^2*polylog(2,-%i*b^(1/2)*f^x/a^(1/2))*log(f)^2+_ 3*%i*x^2*polylog(2,%i*b^(1/2)*f^x/a^(1/2))*log(f)^2+_ 6*%i*x*polylog(3,-%i*b^(1/2)*f^x/a^(1/2))*log(f)-_ 6*%i*x*polylog(3,%i*b^(1/2)*f^x/a^(1/2))*log(f)-_ 6*%i*polylog(4,-%i*b^(1/2)*f^x/a^(1/2))+_ 6*%i*polylog(4,%i*b^(1/2)*f^x/a^(1/2)))/a^(1/2)/b^(1/2)/log(f)^4 --R --R There are no library operations named arctan --R Use HyperDoc Browse or issue --R )what op arctan --R to learn if there is any operation containing " arctan " in its --R name. --R --R Cannot find a definition or applicable library operation named --R arctan with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 340 --S 341 of 578 a0066:= integrate(t0066,x) --R --R --R x 3 %A --R ++ %A f --R (306) | ---------- d%A --R ++ 2%A --R b f + a --R Type: Union(Expression(Integer),...) --E 341 --S 342 of 578 m0066:= a0066-r0066 --R --R --R x 3 %A --R ++ %A f --R (307) | ---------- d%A - r0066 --R ++ 2%A --R b f + a --R Type: Expression(Integer) --E 342 --S 343 of 578 d0066:= D(m0066,x) --R --R --R 3 x --R x f --R (308) --------- --R 2x --R b f + a --R Type: Expression(Integer) --E 343 --S 344 of 578 t0067:= x/(3+3*exp(x)+exp(1)^(2*x)) --R --R --R x --R (309) --------------- --R 2x x --R %e + 3%e + 3 --R Type: Expression(Integer) --E 344 --S 345 of 578 r0067:= -1/3*%i*x^2*3^(1/2)/(3-%i*3^(1/2))+_ 1/3*%i*x^2*3^(1/2)/(3+%i*3^(1/2))+_ 2/3*%i*x*log(1+2*exp(x)/(3-%i*3^(1/2)))*3^(1/2)/(3-%i*3^(1/2))-_ 2/3*%i*x*log(1+2*exp(x)/(3+%i*3^(1/2)))*3^(1/2)/(3+%i*3^(1/2))+_ 2/3*%i*polylog(2,-2*exp(x)/(3-%i*3^(1/2)))*3^(1/2)/(3-%i*3^(1/2))-_ 2/3*%i*polylog(2,-2*exp(x)/(3+%i*3^(1/2)))*3^(1/2)/(3+%i*3^(1/2)) --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Complex(Integer)) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 345 --S 346 of 578 a0067:= integrate(t0067,x) --R --R --R x --R ++ %A --R (310) | ----------------- d%A --R ++ 2%A %A --R %e + 3%e + 3 --R Type: Union(Expression(Integer),...) --E 346 --S 347 of 578 m0067:= a0067-r0067 --R --R --R x --R ++ %A --R (311) | ----------------- d%A - r0067 --R ++ 2%A %A --R %e + 3%e + 3 --R Type: Expression(Integer) --E 347 --S 348 of 578 d0067:= D(m0067,x) --R --R --R x --R (312) --------------- --R 2x x --R %e + 3%e + 3 --R Type: Expression(Integer) --E 348 --S 349 of 578 t0068:= x/(a+b*exp(x)+c*exp(1)^(2*x)) --R --R --R x --R (313) ------------------ --R 2x x --R c %e + b %e + a --R Type: Expression(Integer) --E 349 --S 350 of 578 r0068:= c*x^2/(b^2-4*a*c)^(1/2)/(b-(b^2-4*a*c)^(1/2))-_ c*x^2/(b^2-4*a*c)^(1/2)/(b+(b^2-4*a*c)^(1/2))-_ 2*c*x*log(1+2*c*exp(x)/(b-(b^2-4*a*c)^(1/2)))/(b^2-4*a*c)^(1/2)/_ (b-(b^2-4*a*c)^(1/2))+2*c*x*log(1+2*c*exp(x)/_ (b+(b^2-4*a*c)^(1/2)))/(b^2-4*a*c)^(1/2)/(b+(b^2-4*a*c)^(1/2))-_ 2*c*polylog(2,-2*c*exp(x)/(b-(b^2-4*a*c)^(1/2)))/_ (b^2-4*a*c)^(1/2)/(b-(b^2-4*a*c)^(1/2))+_ 2*c*polylog(2,-2*c*exp(x)/(b+(b^2-4*a*c)^(1/2)))/_ (b^2-4*a*c)^(1/2)/(b+(b^2-4*a*c)^(1/2)) --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 350 --S 351 of 578 a0068:= integrate(t0068,x) --R --R --R x --R ++ %A --R (314) | -------------------- d%A --R ++ 2%A %A --R c %e + b %e + a --R Type: Union(Expression(Integer),...) --E 351 --S 352 of 578 m0068:= a0068-r0068 --R --R --R x --R ++ %A --R (315) | -------------------- d%A - r0068 --R ++ 2%A %A --R c %e + b %e + a --R Type: Expression(Integer) --E 352 --S 353 of 578 d0068:= D(m0068,x) --R --R --R x --R (316) ------------------ --R 2x x --R c %e + b %e + a --R Type: Expression(Integer) --E 353 --S 354 of 578 t0069:= x^2/(-1+exp(x)+exp(1)^(2*x)) --R --R --R 2 --R x --R (317) -------------- --R 2x x --R %e + %e - 1 --R Type: Expression(Integer) --E 354 --S 355 of 578 r0069:= 2/15*x^3*5^(1/2)/(1-5^(1/2))-2/15*x^3*5^(1/2)/(5^(1/2)+1)-_ 2/5*x^2*log(1+2*exp(x)/(1-5^(1/2)))*5^(1/2)/(1-5^(1/2))+_ 2/5*x^2*log(1+2*exp(x)/(5^(1/2)+1))*5^(1/2)/(5^(1/2)+1)-_ 4/5*x*polylog(2,-2*exp(x)/(1-5^(1/2)))*5^(1/2)/(1-5^(1/2))+_ 4/5*x*polylog(2,-2*exp(x)/(5^(1/2)+1))*5^(1/2)/(5^(1/2)+1)+_ 4/5*polylog(3,-2*exp(x)/(1-5^(1/2)))*5^(1/2)/(1-5^(1/2))-_ 4/5*polylog(3,-2*exp(x)/(5^(1/2)+1))*5^(1/2)/(5^(1/2)+1) --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 355 --S 356 of 578 a0069:= integrate(t0069,x) --R --R --R x 2 --R ++ %A --R (318) | ---------------- d%A --R ++ 2%A %A --R %e + %e - 1 --R Type: Union(Expression(Integer),...) --E 356 --S 357 of 578 m0069:= a0069-r0069 --R --R --R x 2 --R ++ %A --R (319) | ---------------- d%A - r0069 --R ++ 2%A %A --R %e + %e - 1 --R Type: Expression(Integer) --E 357 --S 358 of 578 d0069:= D(m0069,x) --R --R --R 2 --R x --R (320) -------------- --R 2x x --R %e + %e - 1 --R Type: Expression(Integer) --E 358 --S 359 of 578 t0070:= x^2/(3+3*exp(x)+exp(1)^(2*x)) --R --R --R 2 --R x --R (321) --------------- --R 2x x --R %e + 3%e + 3 --R Type: Expression(Integer) --E 359 --S 360 of 578 r0070:= -2/9*%i*x^3*3^(1/2)/(3-%i*3^(1/2))+2/9*%i*x^3*3^(1/2)/(3+%i*3^(1/2))+_ 2/3*%i*x^2*log(1+2*exp(x)/(3-%i*3^(1/2)))*3^(1/2)/(3-%i*3^(1/2))-_ 2/3*%i*x^2*log(1+2*exp(x)/(3+%i*3^(1/2)))*3^(1/2)/(3+%i*3^(1/2))+_ 4/3*%i*x*polylog(2,-2*exp(x)/(3-%i*3^(1/2)))*3^(1/2)/(3-%i*3^(1/2))-_ 4/3*%i*x*polylog(2,-2*exp(x)/(3+%i*3^(1/2)))*3^(1/2)/(3+%i*3^(1/2))-_ 4/3*%i*polylog(3,-2*exp(x)/(3-%i*3^(1/2)))*3^(1/2)/(3-%i*3^(1/2))+_ 4/3*%i*polylog(3,-2*exp(x)/(3+%i*3^(1/2)))*3^(1/2)/(3+%i*3^(1/2)) --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Complex(Integer)) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 360 --S 361 of 578 a0070:= integrate(t0070,x) --R --R --R x 2 --R ++ %A --R (322) | ----------------- d%A --R ++ 2%A %A --R %e + 3%e + 3 --R Type: Union(Expression(Integer),...) --E 361 --S 362 of 578 m0070:= a0070-r0070 --R --R --R x 2 --R ++ %A --R (323) | ----------------- d%A - r0070 --R ++ 2%A %A --R %e + 3%e + 3 --R Type: Expression(Integer) --E 362 --S 363 of 578 d0070:= D(m0070,x) --R --R --R 2 --R x --R (324) --------------- --R 2x x --R %e + 3%e + 3 --R Type: Expression(Integer) --E 363 --S 364 of 578 t0071:= x^2/(a+b*exp(x)+c*exp(1)^(2*x)) --R --R --R 2 --R x --R (325) ------------------ --R 2x x --R c %e + b %e + a --R Type: Expression(Integer) --E 364 --S 365 of 578 r0071:= 2/3*c*x^3/(b^2-4*a*c)^(1/2)/(b-(b^2-4*a*c)^(1/2))-_ 2/3*c*x^3/(b^2-4*a*c)^(1/2)/(b+(b^2-4*a*c)^(1/2))-_ 2*c*x^2*log(1+2*c*exp(x)/(b-(b^2-4*a*c)^(1/2)))/_ (b^2-4*a*c)^(1/2)/(b-(b^2-4*a*c)^(1/2))+2*c*x^2*log(1+2*c*exp(x)/_ (b+(b^2-4*a*c)^(1/2)))/(b^2-4*a*c)^(1/2)/(b+(b^2-4*a*c)^(1/2))-_ 4*c*x*polylog(2,-2*c*exp(x)/(b-(b^2-4*a*c)^(1/2)))/_ (b^2-4*a*c)^(1/2)/(b-(b^2-4*a*c)^(1/2))+_ 4*c*x*polylog(2,-2*c*exp(x)/(b+(b^2-4*a*c)^(1/2)))/_ (b^2-4*a*c)^(1/2)/(b+(b^2-4*a*c)^(1/2))+_ 4*c*polylog(3,-2*c*exp(x)/(b-(b^2-4*a*c)^(1/2)))/_ (b^2-4*a*c)^(1/2)/(b-(b^2-4*a*c)^(1/2))-_ 4*c*polylog(3,-2*c*exp(x)/(b+(b^2-4*a*c)^(1/2)))/_ (b^2-4*a*c)^(1/2)/(b+(b^2-4*a*c)^(1/2)) --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 365 --S 366 of 578 a0071:= integrate(t0071,x) --R --R --R x 2 --R ++ %A --R (326) | -------------------- d%A --R ++ 2%A %A --R c %e + b %e + a --R Type: Union(Expression(Integer),...) --E 366 --S 367 of 578 m0071:= a0071-r0071 --R --R --R x 2 --R ++ %A --R (327) | -------------------- d%A - r0071 --R ++ 2%A %A --R c %e + b %e + a --R Type: Expression(Integer) --E 367 --S 368 of 578 d0071:= D(m0071,x) --R --R --R 2 --R x --R (328) ------------------ --R 2x x --R c %e + b %e + a --R Type: Expression(Integer) --E 368 --S 369 of 578 t0072:= 1/(1+2*f^(c+d*x)+f^(2*c+2*d*x)) --R --R --R 1 --R (329) -------------------------- --R 2d x + 2c d x + c --R f + 2f + 1 --R Type: Expression(Integer) --E 369 --S 370 of 578 r0072:= x+1/d/(1+f^(c+d*x))/log(f)-log(1+f^(c+d*x))/d/log(f) --R --R --R (330) --R d x + c d x + c d x + c --R (- f - 1)log(f + 1) + d x log(f)f + d x log(f) + 1 --R ----------------------------------------------------------------------- --R d x + c --R d log(f)f + d log(f) --R Type: Expression(Integer) --E 370 --S 371 of 578 a0072:= integrate(t0072,x) --R --R --R (331) --R (d x + c)log(f) (d x + c)log(f) --R (- %e - 1)log(%e + 1) --R + --R (d x + c)log(f) --R d x log(f)%e + d x log(f) + 1 --R / --R (d x + c)log(f) --R d log(f)%e + d log(f) --R Type: Union(Expression(Integer),...) --E 371 --S 372 of 578 m0072:= a0072-r0072 --R --R --R (332) --R d x + c (d x + c)log(f) d x + c --R ((- f - 1)%e - f - 1) --R * --R (d x + c)log(f) --R log(%e + 1) --R + --R d x + c (d x + c)log(f) d x + c d x + c --R ((f + 1)%e + f + 1)log(f + 1) --R + --R (d x + c)log(f) d x + c --R - %e + f --R / --R d x + c (d x + c)log(f) d x + c --R (d log(f)f + d log(f))%e + d log(f)f --R + --R d log(f) --R Type: Expression(Integer) --E 372 --S 373 of 578 d0072:= D(m0072,x) --R --R --R (333) --R (d x + c)log(f) 2 (d x + c)log(f) d x + c 2 d x + c --R - (%e ) - 2%e + (f ) + 2f --R / --R d x + c 2 d x + c (d x + c)log(f) 2 --R ((f ) + 2f + 1)(%e ) --R + --R d x + c 2 d x + c (d x + c)log(f) d x + c 2 d x + c --R (2(f ) + 4f + 2)%e + (f ) + 2f --R + --R 1 --R Type: Expression(Integer) --E 373 --S 374 of 578 t0073:= 1/(a+b*f^(c+d*x)+c*f^(2*c+2*d*x)) --R --R --R 1 --R (334) ----------------------------- --R 2d x + 2c d x + c --R c f + b f + a --R Type: Expression(Integer) --E 374 --S 375 of 578 r0073:= x/a+b*arctanh((b+2*c*f^(c+d*x))/(b^2-4*a*c)^(1/2))/a/_ (b^2-4*a*c)^(1/2)/d/log(f)-1/2*log(a+b*f^(c+d*x)+_ c*f^(2*c+2*d*x))/a/d/log(f) --R --R There are no library operations named arctanh --R Use HyperDoc Browse or issue --R )what op arctanh --R to learn if there is any operation containing " arctanh " in its --R name. --R --R Cannot find a definition or applicable library operation named --R arctanh with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 375 --S 376 of 578 a0073:= integrate(t0073,x) --R --R --R (335) --R [ --R +-----------+ --R | 2 (d x + c)log(f) 2 (d x + c)log(f) --R - \|- 4a c + b log(c (%e ) + b %e + a) --R + --R b --R * --R log --R +-----------+ --R 2 | 2 (d x + c)log(f) 2 --R 2c \|- 4a c + b (%e ) --R + --R +-----------+ --R | 2 2 2 (d x + c)log(f) --R (2b c\|- 4a c + b - 8a c + 2b c)%e --R + --R +-----------+ --R 2 | 2 3 --R (- 2a c + b )\|- 4a c + b - 4a b c + b --R / --R (d x + c)log(f) 2 (d x + c)log(f) --R c (%e ) + b %e + a --R + --R +-----------+ --R | 2 --R 2d x log(f)\|- 4a c + b --R / --R +-----------+ --R | 2 --R 2a d log(f)\|- 4a c + b --R , --R --R +---------+ --R | 2 (d x + c)log(f) 2 (d x + c)log(f) --R - \|4a c - b log(c (%e ) + b %e + a) --R + --R +---------+ +---------+ --R | 2 (d x + c)log(f) | 2 --R 2c\|4a c - b %e + b\|4a c - b --R - 2b atan(-----------------------------------------------) --R 2 --R 4a c - b --R + --R +---------+ --R | 2 --R 2d x log(f)\|4a c - b --R / --R +---------+ --R | 2 --R 2a d log(f)\|4a c - b --R ] --R Type: Union(List(Expression(Integer)),...) --E 376 --S 377 of 578 m0073:= a0073-r0073 --R --R There are 12 exposed and 3 unexposed library operations named - --R having 2 argument(s) but none was determined to be applicable. --R Use HyperDoc Browse, or issue --R )display op - --R to learn more about the available operations. Perhaps --R package-calling the operation or using coercions on the arguments --R will allow you to apply the operation. --R --R Cannot find a definition or applicable library operation named - --R with argument type(s) --R List(Expression(Integer)) --R Variable(r0073) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 377 --S 378 of 578 d0073:= D(m0073,x) --R --R --R (336) 0 --R Type: Polynomial(Integer) --E 378 --S 379 of 578 t0074:= x/(1+2*f^(c+d*x)+f^(2*c+2*d*x)) --R --R --R x --R (337) -------------------------- --R 2d x + 2c d x + c --R f + 2f + 1 --R Type: Expression(Integer) --E 379 --S 380 of 578 r0074:= 1/2*x^2-x/d/log(f)+log(1+f^(c+d*x))/d^2/log(f)^2+_ x*(1/d/(1+f^(c+d*x))/log(f)-log(1+f^(c+d*x))/d/log(f))-_ polylog(2,-f^(c+d*x))/d^2/log(f)^2 --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 380 --S 381 of 578 a0074:= integrate(t0074,x) --R --R --R x --R ++ %A --R (338) | ---------------------------- d%A --R ++ 2%A d + 2c %A d + c --R f + 2f + 1 --R Type: Union(Expression(Integer),...) --E 381 --S 382 of 578 m0074:= a0074-r0074 --R --R --R x --R ++ %A --R (339) | ---------------------------- d%A - r0074 --R ++ 2%A d + 2c %A d + c --R f + 2f + 1 --R Type: Expression(Integer) --E 382 --S 383 of 578 d0074:= D(m0074,x) --R --R --R x --R (340) -------------------------- --R 2d x + 2c d x + c --R f + 2f + 1 --R Type: Expression(Integer) --E 383 --S 384 of 578 t0075:= x/(a+b*f^(c+d*x)+c*f^(2*c+2*d*x)) --R --R --R x --R (341) ----------------------------- --R 2d x + 2c d x + c --R c f + b f + a --R Type: Expression(Integer) --E 384 --S 385 of 578 r0075:= c*x^2/(b^2-4*a*c)^(1/2)/(b-(b^2-4*a*c)^(1/2))-_ c*x^2/(b^2-4*a*c)^(1/2)/(b+(b^2-4*a*c)^(1/2))-_ 2*c*x*log(1+2*c*f^(c+d*x)/(b-(b^2-4*a*c)^(1/2)))/_ (b^2-4*a*c)^(1/2)/(b-(b^2-4*a*c)^(1/2))/d/log(f)+_ 2*c*x*log(1+2*c*f^(c+d*x)/(b+(b^2-4*a*c)^(1/2)))/_ (b^2-4*a*c)^(1/2)/(b+(b^2-4*a*c)^(1/2))/d/log(f)-_ 2*c*polylog(2,-2*c*f^(c+d*x)/(b-(b^2-4*a*c)^(1/2)))/_ (b^2-4*a*c)^(1/2)/(b-(b^2-4*a*c)^(1/2))/d^2/log(f)^2+_ 2*c*polylog(2,-2*c*f^(c+d*x)/(b+(b^2-4*a*c)^(1/2)))/_ (b^2-4*a*c)^(1/2)/(b+(b^2-4*a*c)^(1/2))/d^2/log(f)^2 --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 385 --S 386 of 578 a0075:= integrate(t0075,x) --R --R --R x --R ++ %A --R (342) | ------------------------------- d%A --R ++ 2%A d + 2c %A d + c --R c f + b f + a --R Type: Union(Expression(Integer),...) --E 386 --S 387 of 578 m0075:= a0075-r0075 --R --R --R x --R ++ %A --R (343) | ------------------------------- d%A - r0075 --R ++ 2%A d + 2c %A d + c --R c f + b f + a --R Type: Expression(Integer) --E 387 --S 388 of 578 d0075:= D(m0075,x) --R --R --R x --R (344) ----------------------------- --R 2d x + 2c d x + c --R c f + b f + a --R Type: Expression(Integer) --E 388 --S 389 of 578 t0076:= x^2/(1+2*f^(c+d*x)+f^(2*c+2*d*x)) --R --R --R 2 --R x --R (345) -------------------------- --R 2d x + 2c d x + c --R f + 2f + 1 --R Type: Expression(Integer) --E 389 --S 390 of 578 r0076:= 1/3*x^3-x^2/d/log(f)+2*x*log(1+f^(c+d*x))/d^2/log(f)^2+_ x^2*(1/d/(1+f^(c+d*x))/log(f)-log(1+f^(c+d*x))/d/log(f))+_ 2*(1-d*x*log(f))*polylog(2,-f^(c+d*x))/d^3/log(f)^3+_ 2*polylog(3,-f^(c+d*x))/d^3/log(f)^3 --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 390 --S 391 of 578 a0076:= integrate(t0076,x) --R --R --R x 2 --R ++ %A --R (346) | ---------------------------- d%A --R ++ 2%A d + 2c %A d + c --R f + 2f + 1 --R Type: Union(Expression(Integer),...) --E 391 --S 392 of 578 m0076:= a0076-r0076 --R --R --R x 2 --R ++ %A --R (347) | ---------------------------- d%A - r0076 --R ++ 2%A d + 2c %A d + c --R f + 2f + 1 --R Type: Expression(Integer) --E 392 --S 393 of 578 d0076:= D(m0076,x) --R --R --R 2 --R x --R (348) -------------------------- --R 2d x + 2c d x + c --R f + 2f + 1 --R Type: Expression(Integer) --E 393 --S 394 of 578 t0077:= x^2/(a+b*f^(c+d*x)+c*f^(2*c+2*d*x)) --R --R --R 2 --R x --R (349) ----------------------------- --R 2d x + 2c d x + c --R c f + b f + a --R Type: Expression(Integer) --E 394 --S 395 of 578 r0077:= 2/3*c*x^3/(b^2-4*a*c)^(1/2)/(b-(b^2-4*a*c)^(1/2))-_ 2/3*c*x^3/(b^2-4*a*c)^(1/2)/(b+(b^2-4*a*c)^(1/2))-_ 2*c*x^2*log(1+2*c*f^(c+d*x)/(b-(b^2-4*a*c)^(1/2)))/_ (b^2-4*a*c)^(1/2)/(b-(b^2-4*a*c)^(1/2))/d/log(f)+_ 2*c*x^2*log(1+2*c*f^(c+d*x)/(b+(b^2-4*a*c)^(1/2)))/_ (b^2-4*a*c)^(1/2)/(b+(b^2-4*a*c)^(1/2))/d/log(f)-_ 4*c*x*polylog(2,-2*c*f^(c+d*x)/(b-(b^2-4*a*c)^(1/2)))/_ (b^2-4*a*c)^(1/2)/(b-(b^2-4*a*c)^(1/2))/d^2/log(f)^2+_ 4*c*x*polylog(2,-2*c*f^(c+d*x)/(b+(b^2-4*a*c)^(1/2)))/_ (b^2-4*a*c)^(1/2)/(b+(b^2-4*a*c)^(1/2))/d^2/log(f)^2+_ 4*c*polylog(3,-2*c*f^(c+d*x)/(b-(b^2-4*a*c)^(1/2)))/_ (b^2-4*a*c)^(1/2)/(b-(b^2-4*a*c)^(1/2))/d^3/log(f)^3-_ 4*c*polylog(3,-2*c*f^(c+d*x)/(b+(b^2-4*a*c)^(1/2)))/_ (b^2-4*a*c)^(1/2)/(b+(b^2-4*a*c)^(1/2))/d^3/log(f)^3 --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 395 --S 396 of 578 a0077:= integrate(t0077,x) --R --R --R x 2 --R ++ %A --R (350) | ------------------------------- d%A --R ++ 2%A d + 2c %A d + c --R c f + b f + a --R Type: Union(Expression(Integer),...) --E 396 --S 397 of 578 m0077:= a0077-r0077 --R --R --R x 2 --R ++ %A --R (351) | ------------------------------- d%A - r0077 --R ++ 2%A d + 2c %A d + c --R c f + b f + a --R Type: Expression(Integer) --E 397 --S 398 of 578 d0077:= D(m0077,x) --R --R --R 2 --R x --R (352) ----------------------------- --R 2d x + 2c d x + c --R c f + b f + a --R Type: Expression(Integer) --E 398 --S 399 of 578 t0078:= 1/(a+b*f^(g+h*x)+c*f^(2*g+2*h*x)) --R --R --R 1 --R (353) ----------------------------- --R 2h x + 2g h x + g --R c f + b f + a --R Type: Expression(Integer) --E 399 --S 400 of 578 r0078:= x/a+b*arctanh((b+2*c*f^(g+h*x))/(b^2-4*a*c)^(1/2))/a/_ (b^2-4*a*c)^(1/2)/h/log(f)-1/2*log(a+b*f^(g+h*x)+_ c*f^(2*g+2*h*x))/a/h/log(f) --R --R There are no library operations named arctanh --R Use HyperDoc Browse or issue --R )what op arctanh --R to learn if there is any operation containing " arctanh " in its --R name. --R --R Cannot find a definition or applicable library operation named --R arctanh with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 400 --S 401 of 578 a0078:= integrate(t0078,x) --R --R --R (354) --R [ --R +-----------+ --R | 2 (h x + g)log(f) 2 (h x + g)log(f) --R - \|- 4a c + b log(c (%e ) + b %e + a) --R + --R b --R * --R log --R +-----------+ --R 2 | 2 (h x + g)log(f) 2 --R 2c \|- 4a c + b (%e ) --R + --R +-----------+ --R | 2 2 2 (h x + g)log(f) --R (2b c\|- 4a c + b - 8a c + 2b c)%e --R + --R +-----------+ --R 2 | 2 3 --R (- 2a c + b )\|- 4a c + b - 4a b c + b --R / --R (h x + g)log(f) 2 (h x + g)log(f) --R c (%e ) + b %e + a --R + --R +-----------+ --R | 2 --R 2h x log(f)\|- 4a c + b --R / --R +-----------+ --R | 2 --R 2a h log(f)\|- 4a c + b --R , --R --R +---------+ --R | 2 (h x + g)log(f) 2 (h x + g)log(f) --R - \|4a c - b log(c (%e ) + b %e + a) --R + --R +---------+ +---------+ --R | 2 (h x + g)log(f) | 2 --R 2c\|4a c - b %e + b\|4a c - b --R - 2b atan(-----------------------------------------------) --R 2 --R 4a c - b --R + --R +---------+ --R | 2 --R 2h x log(f)\|4a c - b --R / --R +---------+ --R | 2 --R 2a h log(f)\|4a c - b --R ] --R Type: Union(List(Expression(Integer)),...) --E 401 --S 402 of 578 m0078a:= a0078.1-r0078 --R --R --R (355) --R +-----------+ --R | 2 (h x + g)log(f) 2 (h x + g)log(f) --R - \|- 4a c + b log(c (%e ) + b %e + a) --R + --R b --R * --R log --R +-----------+ --R 2 | 2 (h x + g)log(f) 2 --R 2c \|- 4a c + b (%e ) --R + --R +-----------+ --R | 2 2 2 (h x + g)log(f) --R (2b c\|- 4a c + b - 8a c + 2b c)%e --R + --R +-----------+ --R 2 | 2 3 --R (- 2a c + b )\|- 4a c + b - 4a b c + b --R / --R (h x + g)log(f) 2 (h x + g)log(f) --R c (%e ) + b %e + a --R + --R +-----------+ --R | 2 --R (2h x - 2a h r0078)log(f)\|- 4a c + b --R / --R +-----------+ --R | 2 --R 2a h log(f)\|- 4a c + b --R Type: Expression(Integer) --E 402 --S 403 of 578 d0078a:= D(m0078a,x) --R --R --R 1 --R (356) ------------------------------------------------ --R (h x + g)log(f) 2 (h x + g)log(f) --R c (%e ) + b %e + a --R Type: Expression(Integer) --E 403 --S 404 of 578 m0078b:= a0078.2-r0078 --R --R --R (357) --R +---------+ --R | 2 (h x + g)log(f) 2 (h x + g)log(f) --R - \|4a c - b log(c (%e ) + b %e + a) --R + --R +---------+ +---------+ --R | 2 (h x + g)log(f) | 2 --R 2c\|4a c - b %e + b\|4a c - b --R - 2b atan(-----------------------------------------------) --R 2 --R 4a c - b --R + --R +---------+ --R | 2 --R (2h x - 2a h r0078)log(f)\|4a c - b --R / --R +---------+ --R | 2 --R 2a h log(f)\|4a c - b --R Type: Expression(Integer) --E 404 --S 405 of 578 d0078b:= D(m0078b,x) --R --R --R 1 --R (358) ------------------------------------------------ --R (h x + g)log(f) 2 (h x + g)log(f) --R c (%e ) + b %e + a --R Type: Expression(Integer) --E 405 --S 406 of 578 t0079:= 1/(a+b*f^(g+h*x)+c*f^(2*g+2*h*x)) --R --R --R 1 --R (359) ----------------------------- --R 2h x + 2g h x + g --R c f + b f + a --R Type: Expression(Integer) --E 406 --S 407 of 578 r0079:= x/a+b*arctanh((b+2*c*f^(g+h*x))/(b^2-4*a*c)^(1/2))/a/_ (b^2-4*a*c)^(1/2)/h/log(f)-1/2*log(a+b*f^(g+h*x)+_ c*f^(2*g+2*h*x))/a/h/log(f) --R --R There are no library operations named arctanh --R Use HyperDoc Browse or issue --R )what op arctanh --R to learn if there is any operation containing " arctanh " in its --R name. --R --R Cannot find a definition or applicable library operation named --R arctanh with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 407 --S 408 of 578 a0079:= integrate(t0079,x) --R --R --R (360) --R [ --R +-----------+ --R | 2 (h x + g)log(f) 2 (h x + g)log(f) --R - \|- 4a c + b log(c (%e ) + b %e + a) --R + --R b --R * --R log --R +-----------+ --R 2 | 2 (h x + g)log(f) 2 --R 2c \|- 4a c + b (%e ) --R + --R +-----------+ --R | 2 2 2 (h x + g)log(f) --R (2b c\|- 4a c + b - 8a c + 2b c)%e --R + --R +-----------+ --R 2 | 2 3 --R (- 2a c + b )\|- 4a c + b - 4a b c + b --R / --R (h x + g)log(f) 2 (h x + g)log(f) --R c (%e ) + b %e + a --R + --R +-----------+ --R | 2 --R 2h x log(f)\|- 4a c + b --R / --R +-----------+ --R | 2 --R 2a h log(f)\|- 4a c + b --R , --R --R +---------+ --R | 2 (h x + g)log(f) 2 (h x + g)log(f) --R - \|4a c - b log(c (%e ) + b %e + a) --R + --R +---------+ +---------+ --R | 2 (h x + g)log(f) | 2 --R 2c\|4a c - b %e + b\|4a c - b --R - 2b atan(-----------------------------------------------) --R 2 --R 4a c - b --R + --R +---------+ --R | 2 --R 2h x log(f)\|4a c - b --R / --R +---------+ --R | 2 --R 2a h log(f)\|4a c - b --R ] --R Type: Union(List(Expression(Integer)),...) --E 408 --S 409 of 578 m0079a:= a0079.1-r0079 --R --R --R (361) --R +-----------+ --R | 2 (h x + g)log(f) 2 (h x + g)log(f) --R - \|- 4a c + b log(c (%e ) + b %e + a) --R + --R b --R * --R log --R +-----------+ --R 2 | 2 (h x + g)log(f) 2 --R 2c \|- 4a c + b (%e ) --R + --R +-----------+ --R | 2 2 2 (h x + g)log(f) --R (2b c\|- 4a c + b - 8a c + 2b c)%e --R + --R +-----------+ --R 2 | 2 3 --R (- 2a c + b )\|- 4a c + b - 4a b c + b --R / --R (h x + g)log(f) 2 (h x + g)log(f) --R c (%e ) + b %e + a --R + --R +-----------+ --R | 2 --R (2h x - 2a h r0079)log(f)\|- 4a c + b --R / --R +-----------+ --R | 2 --R 2a h log(f)\|- 4a c + b --R Type: Expression(Integer) --E 409 --S 410 of 578 d0079a:= D(m0079a,x) --R --R --R 1 --R (362) ------------------------------------------------ --R (h x + g)log(f) 2 (h x + g)log(f) --R c (%e ) + b %e + a --R Type: Expression(Integer) --E 410 --S 411 of 578 m0079b:= a0079.2-r0079 --R --R --R (363) --R +---------+ --R | 2 (h x + g)log(f) 2 (h x + g)log(f) --R - \|4a c - b log(c (%e ) + b %e + a) --R + --R +---------+ +---------+ --R | 2 (h x + g)log(f) | 2 --R 2c\|4a c - b %e + b\|4a c - b --R - 2b atan(-----------------------------------------------) --R 2 --R 4a c - b --R + --R +---------+ --R | 2 --R (2h x - 2a h r0079)log(f)\|4a c - b --R / --R +---------+ --R | 2 --R 2a h log(f)\|4a c - b --R Type: Expression(Integer) --E 411 --S 412 of 578 d0079b:= D(m0079b,x) --R --R --R 1 --R (364) ------------------------------------------------ --R (h x + g)log(f) 2 (h x + g)log(f) --R c (%e ) + b %e + a --R Type: Expression(Integer) --E 412 --S 413 of 578 t0080:= (d+e*f^(g+h*x))/(a+b*f^(g+h*x)+c*f^(2*g+2*h*x)) --R --R --R h x + g --R e f + d --R (365) ----------------------------- --R 2h x + 2g h x + g --R c f + b f + a --R Type: Expression(Integer) --E 413 --S 414 of 578 r0080:= d*x/a+(b*d-2*a*e)*arctanh((b+2*c*f^(g+h*x))/(b^2-4*a*c)^(1/2))/_ a/(b^2-4*a*c)^(1/2)/h/log(f)-1/2*d*log(a+b*f^(g+h*x)+_ c*f^(2*g+2*h*x))/a/h/log(f) --R --R There are no library operations named arctanh --R Use HyperDoc Browse or issue --R )what op arctanh --R to learn if there is any operation containing " arctanh " in its --R name. --R --R Cannot find a definition or applicable library operation named --R arctanh with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 414 --S 415 of 578 a0080:= integrate(t0080,x) --R --R --R (366) --R [ --R +-----------+ --R | 2 (h x + g)log(f) 2 (h x + g)log(f) --R - d\|- 4a c + b log(c (%e ) + b %e + a) --R + --R (2a e - b d) --R * --R log --R +-----------+ --R 2 | 2 (h x + g)log(f) 2 --R 2c \|- 4a c + b (%e ) --R + --R +-----------+ --R | 2 2 2 (h x + g)log(f) --R (2b c\|- 4a c + b + 8a c - 2b c)%e --R + --R +-----------+ --R 2 | 2 3 --R (- 2a c + b )\|- 4a c + b + 4a b c - b --R / --R (h x + g)log(f) 2 (h x + g)log(f) --R c (%e ) + b %e + a --R + --R +-----------+ --R | 2 --R 2d h x log(f)\|- 4a c + b --R / --R +-----------+ --R | 2 --R 2a h log(f)\|- 4a c + b --R , --R --R +---------+ --R | 2 (h x + g)log(f) 2 (h x + g)log(f) --R - d\|4a c - b log(c (%e ) + b %e + a) --R + --R +---------+ +---------+ --R | 2 (h x + g)log(f) | 2 --R 2c\|4a c - b %e + b\|4a c - b --R (4a e - 2b d)atan(-----------------------------------------------) --R 2 --R 4a c - b --R + --R +---------+ --R | 2 --R 2d h x log(f)\|4a c - b --R / --R +---------+ --R | 2 --R 2a h log(f)\|4a c - b --R ] --R Type: Union(List(Expression(Integer)),...) --E 415 --S 416 of 578 m0080a:= a0080.1-r0080 --R --R --R (367) --R +-----------+ --R | 2 (h x + g)log(f) 2 (h x + g)log(f) --R - d\|- 4a c + b log(c (%e ) + b %e + a) --R + --R (2a e - b d) --R * --R log --R +-----------+ --R 2 | 2 (h x + g)log(f) 2 --R 2c \|- 4a c + b (%e ) --R + --R +-----------+ --R | 2 2 2 (h x + g)log(f) --R (2b c\|- 4a c + b + 8a c - 2b c)%e --R + --R +-----------+ --R 2 | 2 3 --R (- 2a c + b )\|- 4a c + b + 4a b c - b --R / --R (h x + g)log(f) 2 (h x + g)log(f) --R c (%e ) + b %e + a --R + --R +-----------+ --R | 2 --R (2d h x - 2a h r0080)log(f)\|- 4a c + b --R / --R +-----------+ --R | 2 --R 2a h log(f)\|- 4a c + b --R Type: Expression(Integer) --E 416 --S 417 of 578 d0080a:= D(m0080a,x) --R --R --R (h x + g)log(f) --R e %e + d --R (368) ------------------------------------------------ --R (h x + g)log(f) 2 (h x + g)log(f) --R c (%e ) + b %e + a --R Type: Expression(Integer) --E 417 --S 418 of 578 m0080b:= a0080.2-r0080 --R --R --R (369) --R +---------+ --R | 2 (h x + g)log(f) 2 (h x + g)log(f) --R - d\|4a c - b log(c (%e ) + b %e + a) --R + --R +---------+ +---------+ --R | 2 (h x + g)log(f) | 2 --R 2c\|4a c - b %e + b\|4a c - b --R (4a e - 2b d)atan(-----------------------------------------------) --R 2 --R 4a c - b --R + --R +---------+ --R | 2 --R (2d h x - 2a h r0080)log(f)\|4a c - b --R / --R +---------+ --R | 2 --R 2a h log(f)\|4a c - b --R Type: Expression(Integer) --E 418 --S 419 of 578 d0080b:= D(m0080b,x) --R --R --R (h x + g)log(f) --R e %e + d --R (370) ------------------------------------------------ --R (h x + g)log(f) 2 (h x + g)log(f) --R c (%e ) + b %e + a --R Type: Expression(Integer) --E 419 --S 420 of 578 t0081:= (d+e*f^(g+h*x))/(a+b*f^(g+h*x)+c*f^(2*g+2*h*x)) --R --R --R h x + g --R e f + d --R (371) ----------------------------- --R 2h x + 2g h x + g --R c f + b f + a --R Type: Expression(Integer) --E 420 --S 421 of 578 r0081:= d*x/a+(b*d-2*a*e)*arctanh((b+2*c*f^(g+h*x))/(b^2-4*a*c)^(1/2))/_ a/(b^2-4*a*c)^(1/2)/h/log(f)-1/2*d*log(a+b*f^(g+h*x)+_ c*f^(2*g+2*h*x))/a/h/log(f) --R --R There are no library operations named arctanh --R Use HyperDoc Browse or issue --R )what op arctanh --R to learn if there is any operation containing " arctanh " in its --R name. --R --R Cannot find a definition or applicable library operation named --R arctanh with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 421 --S 422 of 578 a0081:= integrate(t0081,x) --R --R --R (372) --R [ --R +-----------+ --R | 2 (h x + g)log(f) 2 (h x + g)log(f) --R - d\|- 4a c + b log(c (%e ) + b %e + a) --R + --R (2a e - b d) --R * --R log --R +-----------+ --R 2 | 2 (h x + g)log(f) 2 --R 2c \|- 4a c + b (%e ) --R + --R +-----------+ --R | 2 2 2 (h x + g)log(f) --R (2b c\|- 4a c + b + 8a c - 2b c)%e --R + --R +-----------+ --R 2 | 2 3 --R (- 2a c + b )\|- 4a c + b + 4a b c - b --R / --R (h x + g)log(f) 2 (h x + g)log(f) --R c (%e ) + b %e + a --R + --R +-----------+ --R | 2 --R 2d h x log(f)\|- 4a c + b --R / --R +-----------+ --R | 2 --R 2a h log(f)\|- 4a c + b --R , --R --R +---------+ --R | 2 (h x + g)log(f) 2 (h x + g)log(f) --R - d\|4a c - b log(c (%e ) + b %e + a) --R + --R +---------+ +---------+ --R | 2 (h x + g)log(f) | 2 --R 2c\|4a c - b %e + b\|4a c - b --R (4a e - 2b d)atan(-----------------------------------------------) --R 2 --R 4a c - b --R + --R +---------+ --R | 2 --R 2d h x log(f)\|4a c - b --R / --R +---------+ --R | 2 --R 2a h log(f)\|4a c - b --R ] --R Type: Union(List(Expression(Integer)),...) --E 422 --S 423 of 578 m0081a:= a0081.1-r0081 --R --R --R (373) --R +-----------+ --R | 2 (h x + g)log(f) 2 (h x + g)log(f) --R - d\|- 4a c + b log(c (%e ) + b %e + a) --R + --R (2a e - b d) --R * --R log --R +-----------+ --R 2 | 2 (h x + g)log(f) 2 --R 2c \|- 4a c + b (%e ) --R + --R +-----------+ --R | 2 2 2 (h x + g)log(f) --R (2b c\|- 4a c + b + 8a c - 2b c)%e --R + --R +-----------+ --R 2 | 2 3 --R (- 2a c + b )\|- 4a c + b + 4a b c - b --R / --R (h x + g)log(f) 2 (h x + g)log(f) --R c (%e ) + b %e + a --R + --R +-----------+ --R | 2 --R (2d h x - 2a h r0081)log(f)\|- 4a c + b --R / --R +-----------+ --R | 2 --R 2a h log(f)\|- 4a c + b --R Type: Expression(Integer) --E 423 --S 424 of 578 d0081a:= D(m0081a,x) --R --R --R (h x + g)log(f) --R e %e + d --R (374) ------------------------------------------------ --R (h x + g)log(f) 2 (h x + g)log(f) --R c (%e ) + b %e + a --R Type: Expression(Integer) --E 424 --S 425 of 578 m0081b:= a0081.2-r0081 --R --R --R (375) --R +---------+ --R | 2 (h x + g)log(f) 2 (h x + g)log(f) --R - d\|4a c - b log(c (%e ) + b %e + a) --R + --R +---------+ +---------+ --R | 2 (h x + g)log(f) | 2 --R 2c\|4a c - b %e + b\|4a c - b --R (4a e - 2b d)atan(-----------------------------------------------) --R 2 --R 4a c - b --R + --R +---------+ --R | 2 --R (2d h x - 2a h r0081)log(f)\|4a c - b --R / --R +---------+ --R | 2 --R 2a h log(f)\|4a c - b --R Type: Expression(Integer) --E 425 --S 426 of 578 d0081b:= D(m0081b,x) --R --R --R (h x + g)log(f) --R e %e + d --R (376) ------------------------------------------------ --R (h x + g)log(f) 2 (h x + g)log(f) --R c (%e ) + b %e + a --R Type: Expression(Integer) --E 426 --S 427 of 578 t0082:= x^2/(2+f^(-c-d*x)+f^(c+d*x)) --R --R --R 2 --R x --R (377) ------------------------- --R d x + c - d x - c --R f + f + 2 --R Type: Expression(Integer) --E 427 --S 428 of 578 r0082:= x^2/d/log(f)-x^2/d/(1+f^(c+d*x))/log(f)-_ 2*x*log(1+f^(c+d*x))/d^2/log(f)^2-_ 2*polylog(2,-f^(c+d*x))/d^3/log(f)^3 --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 428 --S 429 of 578 a0082:= integrate(t0082,x) --R --R --R x 2 --R ++ %A --R (378) | --------------------------- d%A --R ++ %A d + c - %A d - c --R f + f + 2 --R Type: Union(Expression(Integer),...) --E 429 --S 430 of 578 m0082:= a0082-r0082 --R --R --R x 2 --R ++ %A --R (379) | --------------------------- d%A - r0082 --R ++ %A d + c - %A d - c --R f + f + 2 --R Type: Expression(Integer) --E 430 --S 431 of 578 d0082:= D(m0082,x) --R --R --R 2 --R x --R (380) ------------------------- --R d x + c - d x - c --R f + f + 2 --R Type: Expression(Integer) --E 431 --S 432 of 578 t0083:= 1/(1-exp(1)^(-x)+2*exp(x)) --R --R --R 1 --R (381) ---------------- --R x - x --R 2%e - %e + 1 --R Type: Expression(Integer) --E 432 --S 433 of 578 r0083:= -2/3*arctanh(1/3+4/3*exp(x)) --R --R There are no library operations named arctanh --R Use HyperDoc Browse or issue --R )what op arctanh --R to learn if there is any operation containing " arctanh " in its --R name. --R --R Cannot find a definition or applicable library operation named --R arctanh with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 433 --S 434 of 578 a0083:= integrate(t0083,x) --R --R --R x x --R log(2%e - 1) - log(%e + 1) --R (382) ---------------------------- --R 3 --R Type: Union(Expression(Integer),...) --E 434 --S 435 of 578 m0083:= a0083-r0083 --R --R --R x x --R log(2%e - 1) - log(%e + 1) - 3r0083 --R (383) ------------------------------------- --R 3 --R Type: Expression(Integer) --E 435 --S 436 of 578 d0083:= D(m0083,x) --R --R --R x --R %e --R (384) ----------------- --R x 2 x --R 2(%e ) + %e - 1 --R Type: Expression(Integer) --E 436 --S 437 of 578 t0084:= x^2/(a+b*exp(1)^(-x)+c*exp(x)) --R --R --R 2 --R x --R (385) ------------------- --R x - x --R c %e + b %e + a --R Type: Expression(Integer) --E 437 --S 438 of 578 r0084:= (x^2*log(-(a-(a^2-4*b*c)^(1/2)+2*c*exp(x))/(-a+(a^2-4*b*c)^(1/2)))-_ x^2*log((a+(a^2-4*b*c)^(1/2)+2*c*exp(x))/(a+(a^2-4*b*c)^(1/2)))+_ 2*x*polylog(2,2*c*exp(x)/(-a+(a^2-4*b*c)^(1/2)))-_ 2*x*polylog(2,-2*c*exp(x)/(a+(a^2-4*b*c)^(1/2)))-_ 2*polylog(3,2*c*exp(x)/(-a+(a^2-4*b*c)^(1/2)))+_ 2*polylog(3,-2*c*exp(x)/(a+(a^2-4*b*c)^(1/2))))/(a^2-4*b*c)^(1/2) --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 438 --S 439 of 578 a0084:= integrate(t0084,x) --R --R --R x 2 --R ++ %A --R (386) | --------------------- d%A --R ++ %A - %A --R c %e + b %e + a --R Type: Union(Expression(Integer),...) --E 439 --S 440 of 578 m0084:= a0084-r0084 --R --R --R x 2 --R ++ %A --R (387) | --------------------- d%A - r0084 --R ++ %A - %A --R c %e + b %e + a --R Type: Expression(Integer) --E 440 --S 441 of 578 d0084:= D(m0084,x) --R --R --R 2 --R x --R (388) ------------------- --R x - x --R c %e + b %e + a --R Type: Expression(Integer) --E 441 --S 442 of 578 t0085:= 1/(a+b*f^(-c-d*x)+c*f^(c+d*x)) --R --R --R 1 --R (389) ----------------------------- --R d x + c - d x - c --R c f + b f + a --R Type: Expression(Integer) --E 442 --S 443 of 578 r0085:= -2*arctanh((a+2*c*f^(c+d*x))/(a^2-4*b*c)^(1/2))/_ (a^2-4*b*c)^(1/2)/d/log(f) --R --R There are no library operations named arctanh --R Use HyperDoc Browse or issue --R )what op arctanh --R to learn if there is any operation containing " arctanh " in its --R name. --R --R Cannot find a definition or applicable library operation named --R arctanh with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 443 --S 444 of 578 a0085:= integrate(t0085,x) --R --R --R (390) --R [ --R log --R +-----------+ --R 2 | 2 (d x + c)log(f) 2 --R 2c \|- 4b c + a (%e ) --R + --R +-----------+ --R | 2 2 2 (d x + c)log(f) --R (2a c\|- 4b c + a + 8b c - 2a c)%e --R + --R +-----------+ --R 2 | 2 3 --R (- 2b c + a )\|- 4b c + a + 4a b c - a --R / --R (d x + c)log(f) 2 (d x + c)log(f) --R c (%e ) + a %e + b --R / --R +-----------+ --R | 2 --R d log(f)\|- 4b c + a --R , --R +---------+ +---------+ --R | 2 (d x + c)log(f) | 2 --R 2c\|4b c - a %e + a\|4b c - a --R 2atan(-----------------------------------------------) --R 2 --R 4b c - a --R ------------------------------------------------------] --R +---------+ --R | 2 --R d log(f)\|4b c - a --R Type: Union(List(Expression(Integer)),...) --E 444 --S 445 of 578 m0085a:= a0085.1-r0085 --R --R --R (391) --R log --R +-----------+ --R 2 | 2 (d x + c)log(f) 2 --R 2c \|- 4b c + a (%e ) --R + --R +-----------+ --R | 2 2 2 (d x + c)log(f) --R (2a c\|- 4b c + a + 8b c - 2a c)%e --R + --R +-----------+ --R 2 | 2 3 --R (- 2b c + a )\|- 4b c + a + 4a b c - a --R / --R (d x + c)log(f) 2 (d x + c)log(f) --R c (%e ) + a %e + b --R + --R +-----------+ --R | 2 --R - d r0085 log(f)\|- 4b c + a --R / --R +-----------+ --R | 2 --R d log(f)\|- 4b c + a --R Type: Expression(Integer) --E 445 --S 446 of 578 d0085a:= D(m0085a,x) --R --R --R (d x + c)log(f) --R %e --R (392) ------------------------------------------------ --R (d x + c)log(f) 2 (d x + c)log(f) --R c (%e ) + a %e + b --R Type: Expression(Integer) --E 446 --S 447 of 578 m0085b:= a0085.2-r0085 --R --R --R (393) --R +---------+ +---------+ --R | 2 (d x + c)log(f) | 2 --R 2c\|4b c - a %e + a\|4b c - a --R 2atan(-----------------------------------------------) --R 2 --R 4b c - a --R + --R +---------+ --R | 2 --R - d r0085 log(f)\|4b c - a --R / --R +---------+ --R | 2 --R d log(f)\|4b c - a --R Type: Expression(Integer) --E 447 --S 448 of 578 d0085b:= D(m0085b,x) --R --R --R (d x + c)log(f) --R %e --R (394) ------------------------------------------------ --R (d x + c)log(f) 2 (d x + c)log(f) --R c (%e ) + a %e + b --R Type: Expression(Integer) --E 448 --S 449 of 578 t0086:= x/(a+b*f^(-c-d*x)+c*f^(c+d*x)) --R --R --R x --R (395) ----------------------------- --R d x + c - d x - c --R c f + b f + a --R Type: Expression(Integer) --E 449 --S 450 of 578 r0086:= (x*log(-(a-(a^2-4*b*c)^(1/2)+2*c*f^(c+d*x))/_ (-a+(a^2-4*b*c)^(1/2)))*d*log(f)-x*log((a+(a^2-4*b*c)^(1/2)+_ 2*c*f^(c+d*x))/(a+(a^2-4*b*c)^(1/2)))*d*log(f)+_ polylog(2,2*c*f^(c+d*x)/(-a+(a^2-4*b*c)^(1/2)))-_ polylog(2,-2*c*f^(c+d*x)/(a+(a^2-4*b*c)^(1/2))))/_ (a^2-4*b*c)^(1/2)/d^2/log(f)^2 --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 450 --S 451 of 578 a0086:= integrate(t0086,x) --R --R --R x --R ++ %A --R (396) | ------------------------------- d%A --R ++ %A d + c - %A d - c --R c f + b f + a --R Type: Union(Expression(Integer),...) --E 451 --S 452 of 578 m0086:= a0086-r0086 --R --R --R x --R ++ %A --R (397) | ------------------------------- d%A - r0086 --R ++ %A d + c - %A d - c --R c f + b f + a --R Type: Expression(Integer) --E 452 --S 453 of 578 d0086:= D(m0086,x) --R --R --R x --R (398) ----------------------------- --R d x + c - d x - c --R c f + b f + a --R Type: Expression(Integer) --E 453 --S 454 of 578 t0087:= x^2/(a+b*f^(-c-d*x)+c*f^(c+d*x)) --R --R --R 2 --R x --R (399) ----------------------------- --R d x + c - d x - c --R c f + b f + a --R Type: Expression(Integer) --E 454 --S 455 of 578 r0087:= (x^2*log(-(a-(a^2-4*b*c)^(1/2)+2*c*f^(c+d*x))/_ (-a+(a^2-4*b*c)^(1/2)))*d^2*log(f)^2-_ x^2*log((a+(a^2-4*b*c)^(1/2)+2*c*f^(c+d*x))/_ (a+(a^2-4*b*c)^(1/2)))*d^2*log(f)^2+_ 2*x*polylog(2,2*c*f^(c+d*x)/(-a+(a^2-4*b*c)^(1/2)))*d*log(f)-_ 2*x*polylog(2,-2*c*f^(c+d*x)/(a+(a^2-4*b*c)^(1/2)))*d*log(f)-_ 2*polylog(3,2*c*f^(c+d*x)/(-a+(a^2-4*b*c)^(1/2)))+_ 2*polylog(3,-2*c*f^(c+d*x)/(a+(a^2-4*b*c)^(1/2))))/_ (a^2-4*b*c)^(1/2)/d^3/log(f)^3 --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 455 --S 456 of 578 a0087:= integrate(t0087,x) --R --R --R x 2 --R ++ %A --R (400) | ------------------------------- d%A --R ++ %A d + c - %A d - c --R c f + b f + a --R Type: Union(Expression(Integer),...) --E 456 --S 457 of 578 m0087:= a0087-r0087 --R --R --R x 2 --R ++ %A --R (401) | ------------------------------- d%A - r0087 --R ++ %A d + c - %A d - c --R c f + b f + a --R Type: Expression(Integer) --E 457 --S 458 of 578 d0087:= D(m0087,x) --R --R --R 2 --R x --R (402) ----------------------------- --R d x + c - d x - c --R c f + b f + a --R Type: Expression(Integer) --E 458 --S 459 of 578 t0088:= f^(a+b*x+c*x^2)*g^(d+e*x+f*x^2) --R --R --R 2 2 --R c x + b x + a f x + e x + d --R (403) f g --R Type: Expression(Integer) --E 459 --S 460 of 578 r0088:= 1/2*f^a*g^d*%pi^(1/2)*erfi(1/2*(b*log(f)+e*log(g)+_ 2*x*c*log(f)+2*x*f*log(g))/(c*log(f)+f*log(g))^(1/2))/(c*log(f)+_ f*log(g))^(1/2)*exp(-1/4*(b*log(f)+e*log(g))^2/(c*log(f)+f*log(g))) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue --R )what op erfi --R to learn if there is any operation containing " erfi " in its --R name. --R --R Cannot find a definition or applicable library operation named erfi --R with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 460 --S 461 of 578 a0088:= integrate(t0088,x) --R --R --R x 2 2 --R ++ %A c + %A b + a %A f + %A e + d --R (404) | f g d%A --R ++ --R Type: Union(Expression(Integer),...) --E 461 --S 462 of 578 m0088:= a0088-r0088 --R --R --R x 2 2 --R ++ %A c + %A b + a %A f + %A e + d --R (405) | f g d%A - r0088 --R ++ --R Type: Expression(Integer) --E 462 --S 463 of 578 d0088:= D(m0088,x) --R --R --R 2 2 --R c x + b x + a f x + e x + d --R (406) f g --R Type: Expression(Integer) --E 463 --S 464 of 578 t0089:= exp(x)*sin(a+b*x+c*x^2) --R --R --R x 2 --R (407) %e sin(c x + b x + a) --R Type: Expression(Integer) --E 464 --S 465 of 578 r0089:= 1/4*(-1)^(3/4)*exp(1)^(%i*a+1/4*%i*(1+%i*b)^2/c)*%pi^(1/2)*_ erf(1/2*(-1)^(1/4)*(1+%i*b+2*%i*c*x)/c^(1/2))/c^(1/2)+_ 1/4*(-1)^(3/4)*exp(1)^(-%i*a-1/4*%i*(1-%i*b)^2/c)*%pi^(1/2)*_ erfi(1/2*(-1)^(1/4)*(1-%i*b-2*%i*c*x)/c^(1/2))/c^(1/2) --R --R There are 37 exposed and 23 unexposed library operations named * --R having 2 argument(s) but none was determined to be applicable. --R Use HyperDoc Browse, or issue --R )display op * --R to learn more about the available operations. Perhaps --R package-calling the operation or using coercions on the arguments --R will allow you to apply the operation. --R --R Cannot find a definition or applicable library operation named * --R with argument type(s) --R AlgebraicNumber --R Polynomial(Complex(Integer)) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 465 --S 466 of 578 a0089:= integrate(t0089,x) --R --R --R x --R ++ %A 2 --R (408) | %e sin(%A c + %A b + a)d%A --R ++ --R Type: Union(Expression(Integer),...) --E 466 --S 467 of 578 m0089:= a0089-r0089 --R --R --R x --R ++ %A 2 --R (409) | %e sin(%A c + %A b + a)d%A - r0089 --R ++ --R Type: Expression(Integer) --E 467 --S 468 of 578 d0089:= D(m0089,x) --R --R --R x 2 --R (410) %e sin(c x + b x + a) --R Type: Expression(Integer) --E 468 --S 469 of 578 t0090:= exp(x)*cos(a+b*x+c*x^2) --R --R --R 2 x --R (411) cos(c x + b x + a)%e --R Type: Expression(Integer) --E 469 --S 470 of 578 r0090:= (-1/8-1/8*%i)*2^(1/2)*%pi^(1/2)*(exp(1/4*%i*(4*a*c+1+2*%i*b-b^2)/c)*_ erf((1/4+1/4*%i)*2^(1/2)*(1+%i*b+2*%i*c*x)/c^(1/2))+_ %i*exp(1/4*%i*(-4*a*c-1+2*%i*b+b^2)/c)*_ erf(1/4*2^(1/2)*(%i*b+2*%i*c*x-1+%i+b+2*c*x)/c^(1/2)))/c^(1/2) --R --R There are 37 exposed and 23 unexposed library operations named * --R having 2 argument(s) but none was determined to be applicable. --R Use HyperDoc Browse, or issue --R )display op * --R to learn more about the available operations. Perhaps --R package-calling the operation or using coercions on the arguments --R will allow you to apply the operation. --R --R Cannot find a definition or applicable library operation named * --R with argument type(s) --R AlgebraicNumber --R Polynomial(Complex(Integer)) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 470 --S 471 of 578 a0090:= integrate(t0090,x) --R --R --R x --R ++ 2 %A --R (412) | cos(%A c + %A b + a)%e d%A --R ++ --R Type: Union(Expression(Integer),...) --E 471 --S 472 of 578 m0090:= a0090-r0090 --R --R --R x --R ++ 2 %A --R (413) | cos(%A c + %A b + a)%e d%A - r0090 --R ++ --R Type: Expression(Integer) --E 472 --S 473 of 578 d0090:= D(m0090,x) --R --R --R 2 x --R (414) cos(c x + b x + a)%e --R Type: Expression(Integer) --E 473 --S 474 of 578 t0091:= f^(a+b*x+c*x^2)*sin(c+d*x+e*x^2) --R --R --R 2 --R 2 c x + b x + a --R (415) sin(e x + d x + c)f --R Type: Expression(Integer) --E 474 --S 475 of 578 r0091:= 1/4*%i*exp(1)^(-%i*c+(%i*d-b*log(f))^2/(4*%i*e-4*c*log(f)))*f^a*_ %pi^(1/2)*erf(1/2*(%i*d-b*log(f)+2*x*(%i*e-c*log(f)))/_ (%i*e-c*log(f))^(1/2))/(%i*e-c*log(f))^(1/2)-_ 1/4*%i*exp(1)^(%i*c-(%i*d+b*log(f))^2/(4*%i*e+4*c*log(f)))*f^a*_ %pi^(1/2)*erfi(1/2*(%i*d+b*log(f)+2*x*(%i*e+c*log(f)))/_ (%i*e+c*log(f))^(1/2))/(%i*e+c*log(f))^(1/2) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue --R )what op erfi --R to learn if there is any operation containing " erfi " in its --R name. --R --R Cannot find a definition or applicable library operation named erfi --R with argument type(s) --R Expression(Complex(Integer)) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 475 --S 476 of 578 a0091:= integrate(t0091,x) --R --R --R x 2 --R ++ 2 %A c + %A b + a --R (416) | sin(%A e + %A d + c)f d%A --R ++ --R Type: Union(Expression(Integer),...) --E 476 --S 477 of 578 m0091:= a0091-r0091 --R --R --R x 2 --R ++ 2 %A c + %A b + a --R (417) | sin(%A e + %A d + c)f d%A - r0091 --R ++ --R Type: Expression(Integer) --E 477 --S 478 of 578 d0091:= D(m0091,x) --R --R --R 2 --R 2 c x + b x + a --R (418) sin(e x + d x + c)f --R Type: Expression(Integer) --E 478 --S 479 of 578 t0092:= f^(a+b*x+c*x^2)*cos(c+d*x+e*x^2) --R --R --R 2 --R 2 c x + b x + a --R (419) cos(e x + d x + c)f --R Type: Expression(Integer) --E 479 --S 480 of 578 r0092:= 1/4*exp(1)^(-%i*c+(%i*d-b*log(f))^2/(4*%i*e-4*c*log(f)))*f^a*_ %pi^(1/2)*erf(1/2*(%i*d-b*log(f)+2*x*(%i*e-c*log(f)))/_ (%i*e-c*log(f))^(1/2))/(%i*e-c*log(f))^(1/2)+_ 1/4*exp(1)^(%i*c-(%i*d+b*log(f))^2/(4*%i*e+4*c*log(f)))*f^a*_ %pi^(1/2)*erfi(1/2*(%i*d+b*log(f)+2*x*(%i*e+c*log(f)))/_ (%i*e+c*log(f))^(1/2))/(%i*e+c*log(f))^(1/2) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue --R )what op erfi --R to learn if there is any operation containing " erfi " in its --R name. --R --R Cannot find a definition or applicable library operation named erfi --R with argument type(s) --R Expression(Complex(Integer)) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 480 --S 481 of 578 a0092:= integrate(t0092,x) --R --R --R x 2 --R ++ 2 %A c + %A b + a --R (420) | cos(%A e + %A d + c)f d%A --R ++ --R Type: Union(Expression(Integer),...) --E 481 --S 482 of 578 m0092:= a0092-r0092 --R --R --R x 2 --R ++ 2 %A c + %A b + a --R (421) | cos(%A e + %A d + c)f d%A - r0092 --R ++ --R Type: Expression(Integer) --E 482 --S 483 of 578 d0092:= D(m0092,x) --R --R --R 2 --R 2 c x + b x + a --R (422) cos(e x + d x + c)f --R Type: Expression(Integer) --E 483 --S 484 of 578 t0093:= exp(1)^(2*x)*cos(exp(x)) --R --R --R 2x x --R (423) %e cos(%e ) --R Type: Expression(Integer) --E 484 --S 485 of 578 r0093:= cos(exp(x))+exp(x)*sin(exp(x)) --R --R --R x x x --R (424) %e sin(%e ) + cos(%e ) --R Type: Expression(Integer) --E 485 --S 486 of 578 a0093:= integrate(t0093,x) --R --R --R x x x --R (425) %e sin(%e ) + cos(%e ) --R Type: Union(Expression(Integer),...) --E 486 --S 487 of 578 m0093:= a0093-r0093 --R --R --R (426) 0 --R Type: Expression(Integer) --E 487 --S 488 of 578 d0093:= D(m0093,x) --R --R --R (427) 0 --R Type: Expression(Integer) --E 488 --S 489 of 578 t0094:= exp(x)*sec(exp(x)) --R --R --R x x --R (428) %e sec(%e ) --R Type: Expression(Integer) --E 489 --S 490 of 578 r0094:= arctanh(sin(exp(x))) --R --R There are no library operations named arctanh --R Use HyperDoc Browse or issue --R )what op arctanh --R to learn if there is any operation containing " arctanh " in its --R name. --R --R Cannot find a definition or applicable library operation named --R arctanh with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 490 --S 491 of 578 a0094:= integrate(t0094,x) --R --R --R x x --R log(sin(%e ) + 1) - log(sin(%e ) - 1) --R (429) ------------------------------------- --R 2 --R Type: Union(Expression(Integer),...) --E 491 --S 492 of 578 m0094:= a0094-r0094 --R --R --R x x --R log(sin(%e ) + 1) - log(sin(%e ) - 1) - 2r0094 --R (430) ---------------------------------------------- --R 2 --R Type: Expression(Integer) --E 492 --S 493 of 578 d0094:= D(m0094,x) --R --R --R x x --R %e cos(%e ) --R (431) - ------------- --R x 2 --R sin(%e ) - 1 --R Type: Expression(Integer) --E 493 --S 494 of 578 t0095:= (cos(x)+sin(x))/(exp(1)^(-x)+sin(x)) --R --R --R sin(x) + cos(x) --R (432) --------------- --R - x --R sin(x) + %e --R Type: Expression(Integer) --E 494 --S 495 of 578 r0095:= log(1+exp(x)*sin(x)) --R --R --R x --R (433) log(%e sin(x) + 1) --R Type: Expression(Integer) --E 495 --S 496 of 578 a0095:= integrate(t0095,x) --R --R --R - x - x 2 2 --R log(2%e sin(x) + (%e ) - cos(x) + 1) + 2x --R (434) ----------------------------------------------- --R 2 --R Type: Union(Expression(Integer),...) --E 496 --S 497 of 578 m0095:= a0095-r0095 --R --R --R (435) --R x - x - x 2 2 --R - 2log(%e sin(x) + 1) + log(2%e sin(x) + (%e ) - cos(x) + 1) + 2x --R ----------------------------------------------------------------------- --R 2 --R Type: Expression(Integer) --E 497 --S 498 of 578 d0095:= D(m0095,x) --R --R --R (436) --R - x x 2 --R (- %e + cos(x))%e sin(x) --R + --R - x 2 - x x - x --R ((- (%e ) - cos(x)%e )%e + %e + cos(x))sin(x) --R + --R - x 2 3 x - x 2 --R (- cos(x)(%e ) + cos(x) - cos(x))%e + cos(x)%e - cos(x) + 1 --R / --R - x x 2 - x 2 2 x - x --R 2%e %e sin(x) + (((%e ) - cos(x) + 1)%e + 2%e )sin(x) --R + --R - x 2 2 --R (%e ) - cos(x) + 1 --R Type: Expression(Integer) --E 498 --S 499 of 578 t0096:= exp(x)*cosh(x)*sinh(x)^2 --R --R --R x 2 --R (437) cosh(x)%e sinh(x) --R Type: Expression(Integer) --E 499 --S 500 of 578 r0096:= -1/16*exp(-2*x)-1/16*exp(2*x)+1/32*exp(4*x)-1/8*x --R --R --R 4x 2x - 2x --R %e - 2%e - 2%e - 4x --R (438) --------------------------- --R 32 --R Type: Expression(Integer) --E 500 --S 501 of 578 a0096:= integrate(t0096,x) --R --R --R (439) --R 3 2 2 3 --R - 3sinh(x) + 3cosh(x)sinh(x) + (- 9cosh(x) - 4x + 2)sinh(x) + cosh(x) --R + --R (4x + 2)cosh(x) --R / --R 32sinh(x) - 32cosh(x) --R Type: Union(Expression(Integer),...) --E 501 --S 502 of 578 m0096:= a0096-r0096 --R --R --R (440) --R 3 2 --R - 3sinh(x) + 3cosh(x)sinh(x) --R + --R 4x 2x - 2x 2 4x --R (- %e + 2%e + 2%e - 9cosh(x) + 2)sinh(x) + cosh(x)%e --R + --R 2x - 2x 3 --R - 2cosh(x)%e - 2cosh(x)%e + cosh(x) + 2cosh(x) --R / --R 32sinh(x) - 32cosh(x) --R Type: Expression(Integer) --E 502 --S 503 of 578 d0096:= D(m0096,x) --R --R --R (441) --R 2 4x 2x - 2x 4x --R - 6cosh(x)sinh(x) + (- %e + %e - %e + 1)sinh(x) + cosh(x)%e --R + --R 2x - 2x 3 --R - cosh(x)%e + cosh(x)%e - 2cosh(x) + cosh(x) --R / --R 8sinh(x) - 8cosh(x) --R Type: Expression(Integer) --E 503 --S 504 of 578 t0097:= f^(a+b*x+c*x^2)*sinh(c+d*x+e*x^2) --R --R --R 2 --R 2 c x + b x + a --R (442) sinh(e x + d x + c)f --R Type: Expression(Integer) --E 504 --S 505 of 578 r0097:= -1/4*exp(1)^(-c+(d-b*log(f))^2/(4*e-4*c*log(f)))*f^a*_ %pi^(1/2)*erf(1/2*(d-b*log(f)+2*x*(e-c*log(f)))/(e-c*log(f))^(1/2))/_ (e-c*log(f))^(1/2)+1/4*exp(1)^(c-(d+b*log(f))^2/(4*e+4*c*log(f)))*_ f^a*%pi^(1/2)*erfi(1/2*(d+b*log(f)+2*x*(e+c*log(f)))/_ (e+c*log(f))^(1/2))/(e+c*log(f))^(1/2) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue --R )what op erfi --R to learn if there is any operation containing " erfi " in its --R name. --R --R Cannot find a definition or applicable library operation named erfi --R with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 505 --S 506 of 578 a0097:= integrate(t0097,x) --R --R --R x 2 --R ++ 2 %A c + %A b + a --R (443) | sinh(%A e + %A d + c)f d%A --R ++ --R Type: Union(Expression(Integer),...) --E 506 --S 507 of 578 m0097:= a0097-r0097 --R --R --R x 2 --R ++ 2 %A c + %A b + a --R (444) | sinh(%A e + %A d + c)f d%A - r0097 --R ++ --R Type: Expression(Integer) --E 507 --S 508 of 578 d0097:= D(m0097,x) --R --R --R 2 --R 2 c x + b x + a --R (445) sinh(e x + d x + c)f --R Type: Expression(Integer) --E 508 --S 509 of 578 t0098:= f^(a+b*x+c*x^2)*cosh(c+d*x+e*x^2) --R --R --R 2 --R 2 c x + b x + a --R (446) cosh(e x + d x + c)f --R Type: Expression(Integer) --E 509 --S 510 of 578 r0098:= 1/4*exp(1)^(-c+(d-b*log(f))^2/(4*e-4*c*log(f)))*f^a*_ %pi^(1/2)*erf(1/2*(d-b*log(f)+2*x*(e-c*log(f)))/_ (e-c*log(f))^(1/2))/(e-c*log(f))^(1/2)+_ 1/4*exp(1)^(c-(d+b*log(f))^2/(4*e+4*c*log(f)))*f^a*_ %pi^(1/2)*erfi(1/2*(d+b*log(f)+2*x*(e+c*log(f)))/_ (e+c*log(f))^(1/2))/(e+c*log(f))^(1/2) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue --R )what op erfi --R to learn if there is any operation containing " erfi " in its --R name. --R --R Cannot find a definition or applicable library operation named erfi --R with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 510 --S 511 of 578 a0098:= integrate(t0098,x) --R --R --R x 2 --R ++ 2 %A c + %A b + a --R (447) | cosh(%A e + %A d + c)f d%A --R ++ --R Type: Union(Expression(Integer),...) --E 511 --S 512 of 578 m0098:= a0098-r0098 --R --R --R x 2 --R ++ 2 %A c + %A b + a --R (448) | cosh(%A e + %A d + c)f d%A - r0098 --R ++ --R Type: Expression(Integer) --E 512 --S 513 of 578 d0098:= D(m0098,x) --R --R --R 2 --R 2 c x + b x + a --R (449) cosh(e x + d x + c)f --R Type: Expression(Integer) --E 513 --S 514 of 578 t0099:= 1/exp(x)/(1-exp(1)^(-2*x))^(1/2) --R --R --R 1 --R (450) ------------------ --R +------------+ --R x | - 2x --R %e \|- %e + 1 --R Type: Expression(Integer) --E 514 --S 515 of 578 r0099:= -arcsin(exp(-x)) --R --R There are no library operations named arcsin --R Use HyperDoc Browse or issue --R )what op arcsin --R to learn if there is any operation containing " arcsin " in its --R name. --R --R Cannot find a definition or applicable library operation named --R arcsin with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 515 --S 516 of 578 a0099:= integrate(t0099,x) --R --R --R +----------+ --R | x 2 x --R (451) 2atan(\|(%e ) - 1 - %e ) --R Type: Union(Expression(Integer),...) --E 516 --S 517 of 578 m0099:= a0099-r0099 --R --R --R +----------+ --R | x 2 x --R (452) 2atan(\|(%e ) - 1 - %e ) - r0099 --R Type: Expression(Integer) --E 517 --S 518 of 578 d0099:= D(m0099,x) --R --R --R 1 --R (453) ------------- --R +----------+ --R | x 2 --R \|(%e ) - 1 --R Type: Expression(Integer) --E 518 --S 519 of 578 t0100:= exp(x)/(-4+exp(1)^(2*x)) --R --R --R x --R %e --R (454) -------- --R 2x --R %e - 4 --R Type: Expression(Integer) --E 519 --S 520 of 578 r0100:= -1/2*arctanh(1/2*exp(x)) --R --R There are no library operations named arctanh --R Use HyperDoc Browse or issue --R )what op arctanh --R to learn if there is any operation containing " arctanh " in its --R name. --R --R Cannot find a definition or applicable library operation named --R arctanh with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 520 --S 521 of 578 a0100:= integrate(t0100,x) --R --R --R x x --R - log(%e + 2) + log(%e - 2) --R (455) ----------------------------- --R 4 --R Type: Union(Expression(Integer),...) --E 521 --S 522 of 578 m0100:= a0100-r0100 --R --R --R x x --R - log(%e + 2) + log(%e - 2) - 4r0100 --R (456) -------------------------------------- --R 4 --R Type: Expression(Integer) --E 522 --S 523 of 578 d0100:= D(m0100,x) --R --R --R x --R %e --R (457) ---------- --R x 2 --R (%e ) - 4 --R Type: Expression(Integer) --E 523 --S 524 of 578 t0101:= (exp(1)^(-2*x)+exp(1)^(2*x))/(-exp(1)^(-2*x)+exp(1)^(2*x)) --R --R --R 2x - 2x --R %e + %e --R (458) ------------- --R 2x - 2x --R %e - %e --R Type: Expression(Integer) --E 524 --S 525 of 578 r0101:= 1/2*log(-exp(-2*x)+exp(2*x)) --R --R --R 2x - 2x --R log(%e - %e ) --R (459) ------------------ --R 2 --R Type: Expression(Integer) --E 525 --S 526 of 578 a0101:= integrate(t0101,x) --R --R --R 2x 2 --R log((%e ) - 1) - 2x --R (460) --------------------- --R 2 --R Type: Union(Expression(Integer),...) --E 526 --S 527 of 578 m0101:= a0101-r0101 --R --R --R 2x 2 2x - 2x --R log((%e ) - 1) - log(%e - %e ) - 2x --R (461) ------------------------------------------ --R 2 --R Type: Expression(Integer) --E 527 --S 528 of 578 d0101:= D(m0101,x) --R --R --R - 2x 2x 2 2x --R - 2%e (%e ) + 2%e --R (462) --------------------------------------- --R 2x 3 - 2x 2x 2 2x - 2x --R (%e ) - %e (%e ) - %e + %e --R Type: Expression(Integer) --E 528 --S 529 of 578 t0102:= exp(x)/(16-exp(1)^(2*x)) --R --R --R x --R %e --R (463) - --------- --R 2x --R %e - 16 --R Type: Expression(Integer) --E 529 --S 530 of 578 r0102:= 1/4*arctanh(1/4*exp(x)) --R --R There are no library operations named arctanh --R Use HyperDoc Browse or issue --R )what op arctanh --R to learn if there is any operation containing " arctanh " in its --R name. --R --R Cannot find a definition or applicable library operation named --R arctanh with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 530 --S 531 of 578 a0102:= integrate(t0102,x) --R --R --R x x --R log(%e + 4) - log(%e - 4) --R (464) --------------------------- --R 8 --R Type: Union(Expression(Integer),...) --E 531 --S 532 of 578 m0102:= a0102-r0102 --R --R --R x x --R log(%e + 4) - log(%e - 4) - 8r0102 --R (465) ------------------------------------ --R 8 --R Type: Expression(Integer) --E 532 --S 533 of 578 d0102:= D(m0102,x) --R --R --R x --R %e --R (466) - ----------- --R x 2 --R (%e ) - 16 --R Type: Expression(Integer) --E 533 --S 534 of 578 t0103:= exp(1)^(4*x)/(16+exp(1)^(8*x))^(1/2) --R --R --R 4x --R %e --R (467) ------------ --R +---------+ --R | 8x --R \|%e + 16 --R Type: Expression(Integer) --E 534 --S 535 of 578 r0103:= 1/4*arcsinh(1/4*exp(4*x)) --R --R There are no library operations named arcsinh --R Use HyperDoc Browse or issue --R )what op arcsinh --R to learn if there is any operation containing " arcsinh " in its --R name. --R --R Cannot find a definition or applicable library operation named --R arcsinh with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 535 --S 536 of 578 a0103:= integrate(t0103,x) --R --R --R +------------+ --R | 4x 2 4x --R log(\|(%e ) + 16 - %e ) --R (468) - --------------------------- --R 4 --R Type: Union(Expression(Integer),...) --E 536 --S 537 of 578 m0103:= a0103-r0103 --R --R --R +------------+ --R | 4x 2 4x --R - log(\|(%e ) + 16 - %e ) - 4r0103 --R (469) -------------------------------------- --R 4 --R Type: Expression(Integer) --E 537 --S 538 of 578 d0103:= D(m0103,x) --R --R --R 4x --R %e --R (470) --------------- --R +------------+ --R | 4x 2 --R \|(%e ) + 16 --R Type: Expression(Integer) --E 538 --S 539 of 578 t0104:= 1/exp(x)/(1+2*exp(x)) --R --R --R 1 --R (471) ------------- --R x 2 x --R 2(%e ) + %e --R Type: Expression(Integer) --E 539 --S 540 of 578 r0104:= -exp(-x)+2*log(2+exp(-x)) --R --R --R - x - x --R (472) 2log(%e + 2) - %e --R Type: Expression(Integer) --E 540 --S 541 of 578 a0104:= integrate(t0104,x) --R --R --R x x x --R 2%e log(2%e + 1) - 2x %e - 1 --R (473) ------------------------------ --R x --R %e --R Type: Union(Expression(Integer),...) --E 541 --S 542 of 578 m0104:= a0104-r0104 --R --R --R x x x - x - x x --R 2%e log(2%e + 1) - 2%e log(%e + 2) + (%e - 2x)%e - 1 --R (474) ------------------------------------------------------------ --R x --R %e --R Type: Expression(Integer) --E 542 --S 543 of 578 d0104:= D(m0104,x) --R --R --R - x 2 x 2 - x 2 x - x --R - 2(%e ) (%e ) - (%e ) %e + %e + 2 --R (475) ------------------------------------------- --R - x x 2 - x x --R (2%e + 4)(%e ) + (%e + 2)%e --R Type: Expression(Integer) --E 543 --S 544 of 578 t0105:= exp(x)*sec(-1+exp(x))^3 --R --R --R x x 3 --R (476) %e sec(%e - 1) --R Type: Expression(Integer) --E 544 --S 545 of 578 r0105:= 1/2*arctanh(sin(-1+exp(x)))+1/2*sec(-1+exp(x))*tan(-1+exp(x)) --R --R There are no library operations named arctanh --R Use HyperDoc Browse or issue --R )what op arctanh --R to learn if there is any operation containing " arctanh " in its --R name. --R --R Cannot find a definition or applicable library operation named --R arctanh with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 545 --S 546 of 578 a0105:= integrate(t0105,x) --R --R --R (477) --R x 2 x x 2 x --R cos(%e - 1) log(sin(%e - 1) + 1) - cos(%e - 1) log(sin(%e - 1) - 1) --R + --R x --R 2sin(%e - 1) --R / --R x 2 --R 4cos(%e - 1) --R Type: Union(Expression(Integer),...) --E 546 --S 547 of 578 m0105:= a0105-r0105 --R --R --R (478) --R x 2 x x 2 x --R cos(%e - 1) log(sin(%e - 1) + 1) - cos(%e - 1) log(sin(%e - 1) - 1) --R + --R x x 2 --R 2sin(%e - 1) - 4r0105 cos(%e - 1) --R / --R x 2 --R 4cos(%e - 1) --R Type: Expression(Integer) --E 547 --S 548 of 578 d0105:= D(m0105,x) --R --R --R (479) --R x x 4 x x 2 x x 2 --R 2%e sin(%e - 1) + (%e cos(%e - 1) - 2%e )sin(%e - 1) --R + --R x x 4 x x 2 --R - %e cos(%e - 1) - %e cos(%e - 1) --R / --R x 3 x 2 x 3 --R 2cos(%e - 1) sin(%e - 1) - 2cos(%e - 1) --R Type: Expression(Integer) --E 548 --S 549 of 578 t0106:= exp(x)/(2+3*exp(x)+exp(1)^(2*x)) --R --R --R x --R %e --R (480) --------------- --R 2x x --R %e + 3%e + 2 --R Type: Expression(Integer) --E 549 --S 550 of 578 r0106:= -2*arctanh(3+2*exp(x)) --R --R There are no library operations named arctanh --R Use HyperDoc Browse or issue --R )what op arctanh --R to learn if there is any operation containing " arctanh " in its --R name. --R --R Cannot find a definition or applicable library operation named --R arctanh with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 550 --S 551 of 578 a0106:= integrate(t0106,x) --R --R --R x x --R (481) - log(%e + 2) + log(%e + 1) --R Type: Union(Expression(Integer),...) --E 551 --S 552 of 578 m0106:= a0106-r0106 --R --R --R x x --R (482) - log(%e + 2) + log(%e + 1) - r0106 --R Type: Expression(Integer) --E 552 --S 553 of 578 d0106:= D(m0106,x) --R --R --R x --R %e --R (483) ----------------- --R x 2 x --R (%e ) + 3%e + 2 --R Type: Expression(Integer) --E 553 --S 554 of 578 t0107:= 2^x/(1+4^x)^(1/2) --R --R --R x --R 2 --R (484) --------- --R +------+ --R | x --R \|4 + 1 --R Type: Expression(Integer) --E 554 --S 555 of 578 r0107:= arcsinh(2^x)/log(2) --R --R There are no library operations named arcsinh --R Use HyperDoc Browse or issue --R )what op arcsinh --R to learn if there is any operation containing " arcsinh " in its --R name. --R --R Cannot find a definition or applicable library operation named --R arcsinh with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 555 --S 556 of 578 a0107:= integrate(t0107,x) --R --R --R >> Error detected within library code: --R integrate: implementation incomplete (constant residues) --R --R Continuing to read the file... --R --E 556 --S 557 of 578 m0107:= a0107-r0107 --R --R --R (485) - r0107 + a0107 --R Type: Polynomial(Integer) --E 557 --S 558 of 578 d0107:= D(m0107,x) --R --R --R (486) 0 --R Type: Polynomial(Integer) --E 558 --S 559 of 578 t0108:= exp(1)^(3*x)/(-1+exp(1)^(2*x)) --R --R --R 3x --R %e --R (487) -------- --R 2x --R %e - 1 --R Type: Expression(Integer) --E 559 --S 560 of 578 r0108:= exp(x)-arctanh(exp(x)) --R --R There are no library operations named arctanh --R Use HyperDoc Browse or issue --R )what op arctanh --R to learn if there is any operation containing " arctanh " in its --R name. --R --R Cannot find a definition or applicable library operation named --R arctanh with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 560 --S 561 of 578 a0108:= integrate(t0108,x) --R --R --R x x x --R - log(%e + 1) + log(%e - 1) + 2%e --R (488) ------------------------------------ --R 2 --R Type: Union(Expression(Integer),...) --E 561 --S 562 of 578 m0108:= a0108-r0108 --R --R --R x x x --R - log(%e + 1) + log(%e - 1) + 2%e - 2r0108 --R (489) --------------------------------------------- --R 2 --R Type: Expression(Integer) --E 562 --S 563 of 578 d0108:= D(m0108,x) --R --R --R x 3 --R (%e ) --R (490) ---------- --R x 2 --R (%e ) - 1 --R Type: Expression(Integer) --E 563 --S 564 of 578 t0109:= exp((a+x)^2)/x^2-2*a*exp((a+x)^2)/x --R --R --R 2 2 --R x + 2a x + a --R (- 2a x + 1)%e --R (491) ---------------------------- --R 2 --R x --R Type: Expression(Integer) --E 564 --S 565 of 578 r0109:= -exp((a+x)^2)/x+%pi^(1/2)*erfi(a+x) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue --R )what op erfi --R to learn if there is any operation containing " erfi " in its --R name. --R --R Cannot find a definition or applicable library operation named erfi --R with argument type(s) --R Polynomial(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 565 --S 566 of 578 a0109:= integrate(t0109,x) --R --R --R 2 2 --R x a + 2%A a + %A --R ++ (- 2%A a + 1)%e --R (492) | ------------------------------- d%A --R ++ 2 --R %A --R Type: Union(Expression(Integer),...) --E 566 --S 567 of 578 m0109:= a0109-r0109 --R --R --R 2 2 --R x a + 2%A a + %A --R ++ (- 2%A a + 1)%e --R (493) | ------------------------------- d%A - r0109 --R ++ 2 --R %A --R Type: Expression(Integer) --E 567 --S 568 of 578 d0109:= D(m0109,x) --R --R --R 2 2 --R x + 2a x + a --R (- 2a x + 1)%e --R (494) ---------------------------- --R 2 --R x --R Type: Expression(Integer) --E 568 --S 569 of 578 t0110:= 1/(-exp(x)+exp(1)^(3*x)) --R --R --R 1 --R (495) ---------- --R 3x x --R %e - %e --R Type: Expression(Integer) --E 569 --S 570 of 578 r0110:= exp(-x)-arctanh(exp(x)) --R --R There are no library operations named arctanh --R Use HyperDoc Browse or issue --R )what op arctanh --R to learn if there is any operation containing " arctanh " in its --R name. --R --R Cannot find a definition or applicable library operation named --R arctanh with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 570 --S 571 of 578 a0110:= integrate(t0110,x) --R --R --R x x x x --R - %e log(%e + 1) + %e log(%e - 1) + 2 --R (496) --------------------------------------- --R x --R 2%e --R Type: Union(Expression(Integer),...) --E 571 --S 572 of 578 m0110:= a0110-r0110 --R --R --R x x x x x --R - %e log(%e + 1) + %e log(%e - 1) - 2r0110 %e + 2 --R (497) ---------------------------------------------------- --R x --R 2%e --R Type: Expression(Integer) --E 572 --S 573 of 578 d0110:= D(m0110,x) --R --R --R 1 --R (498) ------------ --R x 3 x --R (%e ) - %e --R Type: Expression(Integer) --E 573 --S 574 of 578 t0111:= 10^(x^(1/2))/x^(1/2) --R --R --R +-+ --R \|x --R 10 --R (499) ------ --R +-+ --R \|x --R Type: Expression(Integer) --E 574 --S 575 of 578 r0111:= 2^(1+x^(1/2))*5^(x^(1/2))/log(10) --R --R --R +-+ +-+ --R \|x + 1 \|x --R 2 5 --R (500) -------------- --R log(10) --R Type: Expression(Integer) --E 575 --S 576 of 578 a0111:= integrate(t0111,x) --R --R --R +-+ --R log(10)\|x --R 2%e --R (501) -------------- --R log(10) --R Type: Union(Expression(Integer),...) --E 576 --S 577 of 578 m0111:= a0111-r0111 --R --R --R +-+ +-+ +-+ --R \|x + 1 \|x log(10)\|x --R - 2 5 + 2%e --R (502) --------------------------------- --R log(10) --R Type: Expression(Integer) --E 577 --S 578 of 578 d0111:= D(m0111,x) --R --R --R +-+ +-+ +-+ --R \|x + 1 \|x log(10)\|x --R (- log(5) - log(2))2 5 + 2log(10)%e --R (503) --------------------------------------------------------- --R +-+ --R 2log(10)\|x --R Type: Expression(Integer) --E 578 )spool \end{chunk} \eject \begin{thebibliography}{99} \bibitem{1} Rich, Albert D. ``Rule-based Mathematics'' \verb|www.apmaths.uwo.ca/~arich| \end{thebibliography} \end{document}