\documentclass{article} \usepackage{axiom} \setlength{\textwidth}{400pt} \begin{document} \title{\$SPAD/src/input richlog200-299.input} \author{Albert Rich and Timothy Daly} \maketitle \begin{abstract} \end{abstract} \eject \tableofcontents \eject \begin{chunk}{*} )set break resume )sys rm -f richlog200-299.output )spool richlog200-299.output )set message auto off )clear all --S 1 of 514 t0200:= log(c*(a+b*x)^n)^2/x^2 --R --R --R n 2 --R log(c (b x + a) ) --R (1) ------------------ --R 2 --R x --R Type: Expression(Integer) --E 1 --S 2 of 514 r0200:= 2*b*n*log(-b*x/a)*log(c*(a+b*x)^n)/a-(a+b*x)*log(c*(a+b*x)^n)^2/a/x+_ 2*b*n^2*polylog(2,1+b*x/a)/a --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 Fraction(Polynomial(Integer)) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 2 --S 3 of 514 a0200:= integrate(t0200,x) --R --R --R x n 2 --R ++ log(c (%I b + a) ) --R (2) | ------------------- d%I --R ++ 2 --R %I --R Type: Union(Expression(Integer),...) --E 3 --S 4 of 514 --m0200:= a0200-r0200 --E 4 --S 5 of 514 --d0200:= D(m0200,x) --E 5 --S 6 of 514 t0201:= log(c*(a+b*x)^n)^2/x^3 --R --R --R n 2 --R log(c (b x + a) ) --R (3) ------------------ --R 3 --R x --R Type: Expression(Integer) --E 6 --S 7 of 514 r0201:= b^2*n^2*log(x)/a^2-b^2*n^2*log(a+b*x)/a^2-b*n*log(c*(a+b*x)^n)/a/x-_ b^2*n*log(-b*x/a)*log(c*(a+b*x)^n)/a^2+1/2*b^2*_ log(c*(a+b*x)^n)^2/a^2-1/2*log(c*(a+b*x)^n)^2/x^2-_ b^2*n^2*polylog(2,1+b*x/a)/a^2 --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Fraction(Polynomial(Integer)) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 7 --S 8 of 514 a0201:= integrate(t0201,x) --R --R --R x n 2 --R ++ log(c (%I b + a) ) --R (4) | ------------------- d%I --R ++ 3 --R %I --R Type: Union(Expression(Integer),...) --E 8 --S 9 of 514 --m0201:= a0201-r0201 --E 9 --S 10 of 514 --d0201:= D(m0201,x) --E 10 --S 11 of 514 t0202:= x*log(c*(a+b*x)^n)^3 --R --R --R n 3 --R (5) x log(c (b x + a) ) --R Type: Expression(Integer) --E 11 --S 12 of 514 r0202:= 21/4*a*n^3*x/b-3/8*n^3*x^2-3/4*a^2*n^3*log(a+b*x)/b^2+_ 3/4*n^2*x^2*log(c*(a+b*x)^n)-9/2*a*n^2*(a+b*x)*log(c*(a+b*x)^n)/b^2-_ 3/4*n*x^2*log(c*(a+b*x)^n)^2+9/4*a*n*(a+2/3*b*x)*_ log(c*(a+b*x)^n)^2/b^2-1/2*a^2*log(c*(a+b*x)^n)^3/b^2+_ 1/2*x^2*log(c*(a+b*x)^n)^3 --R --R --R (6) --R 2 2 2 n 3 --R (4b x - 4a )log(c (b x + a) ) --R + --R 2 2 2 n 2 --R (- 6b n x + 12a b n x + 18a n)log(c (b x + a) ) --R + --R 2 2 2 2 2 2 n 2 3 --R (6b n x - 36a b n x - 36a n )log(c (b x + a) ) - 6a n log(b x + a) --R + --R 2 3 2 3 --R - 3b n x + 42a b n x --R / --R 2 --R 8b --R Type: Expression(Integer) --E 12 --S 13 of 514 a0202:= integrate(t0202,x) --R --R --R (7) --R 2 3 2 2 3 3 --R (4b n x - 4a n )log(b x + a) --R + --R 2 2 2 2 2 2 3 2 3 2 3 2 --R ((12b n x - 12a n )log(c) - 6b n x + 12a b n x + 18a n )log(b x + a) --R + --R 2 2 2 2 2 2 2 2 2 2 --R (12b n x - 12a n)log(c) + (- 12b n x + 24a b n x + 36a n )log(c) --R + --R 2 3 2 3 2 3 --R 6b n x - 36a b n x - 42a n --R * --R log(b x + a) --R + --R 2 2 3 2 2 2 --R 4b x log(c) + (- 6b n x + 12a b n x)log(c) --R + --R 2 2 2 2 2 3 2 3 --R (6b n x - 36a b n x)log(c) - 3b n x + 42a b n x --R / --R 2 --R 8b --R Type: Union(Expression(Integer),...) --E 13 --S 14 of 514 m0202:= a0202-r0202 --R --R --R (8) --R 2 2 2 n 3 --R (- 2b x + 2a )log(c (b x + a) ) --R + --R 2 2 2 n 2 --R (3b n x - 6a b n x - 9a n)log(c (b x + a) ) --R + --R 2 2 2 2 2 2 n --R (- 3b n x + 18a b n x + 18a n )log(c (b x + a) ) --R + --R 2 3 2 2 3 3 --R (2b n x - 2a n )log(b x + a) --R + --R 2 2 2 2 2 2 3 2 3 2 3 2 --R ((6b n x - 6a n )log(c) - 3b n x + 6a b n x + 9a n )log(b x + a) --R + --R 2 2 2 2 2 2 2 2 2 2 --R (6b n x - 6a n)log(c) + (- 6b n x + 12a b n x + 18a n )log(c) --R + --R 2 3 2 3 2 3 --R 3b n x - 18a b n x - 18a n --R * --R log(b x + a) --R + --R 2 2 3 2 2 2 2 2 2 2 --R 2b x log(c) + (- 3b n x + 6a b n x)log(c) + (3b n x - 18a b n x)log(c) --R / --R 2 --R 4b --R Type: Expression(Integer) --E 14 --S 15 of 514 d0202:= D(m0202,x) --R --R --R (9) --R 2 2 n n 3 --R (- 4b x - 4a b x)(b x + a) log(c (b x + a) ) --R + --R 2 2 2 n --R (6b n x - 6a n)(b x + a) --R + --R 3 3 2 2 2 3 n - 1 --R (- 6b n x - 6a b n x + 6a b n x + 6a n)(b x + a) --R * --R n 2 --R log(c (b x + a) ) --R + --R 2 2 2 2 2 2 n --R (- 6b n x + 12a b n x + 18a n )(b x + a) --R + --R 3 2 3 2 2 2 2 2 3 2 n - 1 --R (6b n x - 6a b n x - 30a b n x - 18a n )(b x + a) --R * --R n --R log(c (b x + a) ) --R + --R 2 3 2 3 3 --R (4b n x + 4a b n x)log(b x + a) --R + --R 2 2 2 2 2 --R (12b n x + 12a b n x)log(c)log(b x + a) --R + --R 2 2 2 2 2 3 --R (12b n x + 12a b n x)log(c) log(b x + a) + (4b x + 4a b x)log(c) --R + --R 2 3 2 3 2 3 --R 3b n x - 18a b n x - 18a n --R * --R n --R (b x + a) --R + --R 3 3 3 2 3 2 2 3 3 3 n - 1 --R (- 3b n x + 15a b n x + 36a b n x + 18a n )(b x + a) --R / --R 2 n --R (4b x + 4a b)(b x + a) --R Type: Expression(Integer) --E 15 --S 16 of 514 t0203:= log(c*(a+b*x)^n)^3 --R --R --R n 3 --R (10) log(c (b x + a) ) --R Type: Expression(Integer) --E 16 --S 17 of 514 r0203:= -6*n^3*x+6*n^2*(a+b*x)*log(c*(a+b*x)^n)/b-_ 3*n*(a+b*x)*log(c*(a+b*x)^n)^2/b+(a+b*x)*log(c*(a+b*x)^n)^3/b --R --R --R (11) --R n 3 n 2 --R (b x + a)log(c (b x + a) ) + (- 3b n x - 3a n)log(c (b x + a) ) --R + --R 2 2 n 3 --R (6b n x + 6a n )log(c (b x + a) ) - 6b n x --R / --R b --R Type: Expression(Integer) --E 17 --S 18 of 514 a0203:= integrate(t0203,x) --R --R --R (12) --R 3 3 3 --R (b n x + a n )log(b x + a) --R + --R 2 2 3 3 2 --R ((3b n x + 3a n )log(c) - 3b n x - 3a n )log(b x + a) --R + --R 2 2 2 3 3 --R ((3b n x + 3a n)log(c) + (- 6b n x - 6a n )log(c) + 6b n x + 6a n ) --R * --R log(b x + a) --R + --R 3 2 2 3 --R b x log(c) - 3b n x log(c) + 6b n x log(c) - 6b n x --R / --R b --R Type: Union(Expression(Integer),...) --E 18 --S 19 of 514 m0203:= a0203-r0203 --R --R --R (13) --R n 3 n 2 --R (- b x - a)log(c (b x + a) ) + (3b n x + 3a n)log(c (b x + a) ) --R + --R 2 2 n 3 3 3 --R (- 6b n x - 6a n )log(c (b x + a) ) + (b n x + a n )log(b x + a) --R + --R 2 2 3 3 2 --R ((3b n x + 3a n )log(c) - 3b n x - 3a n )log(b x + a) --R + --R 2 2 2 3 3 --R ((3b n x + 3a n)log(c) + (- 6b n x - 6a n )log(c) + 6b n x + 6a n ) --R * --R log(b x + a) --R + --R 3 2 2 --R b x log(c) - 3b n x log(c) + 6b n x log(c) --R / --R b --R Type: Expression(Integer) --E 19 --S 20 of 514 d0203:= D(m0203,x) --R --R --R (14) --R n n 3 --R - (b x + a) log(c (b x + a) ) --R + --R n n - 1 n 2 --R (3n (b x + a) + (- 3b n x - 3a n)(b x + a) )log(c (b x + a) ) --R + --R 2 n 2 2 n - 1 n --R (- 6n (b x + a) + (6b n x + 6a n )(b x + a) )log(c (b x + a) ) --R + --R 3 3 2 2 2 --R n log(b x + a) + 3n log(c)log(b x + a) + 3n log(c) log(b x + a) --R + --R 3 3 --R log(c) + 6n --R * --R n --R (b x + a) --R + --R 3 3 n - 1 --R (- 6b n x - 6a n )(b x + a) --R / --R n --R (b x + a) --R Type: Expression(Integer) --E 20 --S 21 of 514 t0204:= log(c*(a+b*x)^n)^3/x --R --R --R n 3 --R log(c (b x + a) ) --R (15) ------------------ --R x --R Type: Expression(Integer) --E 21 --S 22 of 514 r0204:= log(-b*x/a)*log(c*(a+b*x)^n)^3+3*n*log(c*(a+b*x)^n)^2*_ polylog(2,1+b*x/a)-6*n^2*log(c*(a+b*x)^n)*_ polylog(3,1+b*x/a)+6*n^3*polylog(4,(a+b*x)/a) --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 Fraction(Polynomial(Integer)) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 22 --S 23 of 514 a0204:= integrate(t0204,x) --R --R --R x n 3 --R ++ log(c (%I b + a) ) --R (16) | ------------------- d%I --R ++ %I --R Type: Union(Expression(Integer),...) --E 23 --S 24 of 514 --m0204:= a0204-r0204 --E 24 --S 25 of 514 --d0204:= D(m0204,x) --E 25 --S 26 of 514 t0205:= log(c*(a+b*x)^n)^3/x^2 --R --R --R n 3 --R log(c (b x + a) ) --R (17) ------------------ --R 2 --R x --R Type: Expression(Integer) --E 26 --S 27 of 514 r0205:= 3*b*n*log(-b*x/a)*log(c*(a+b*x)^n)^2/a-_ (a+b*x)*log(c*(a+b*x)^n)^3/a/x+6*b*n^2*log(c*(a+b*x)^n)*_ polylog(2,1+b*x/a)/a-6*b*n^3*polylog(3,(a+b*x)/a)/a --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Fraction(Polynomial(Integer)) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 27 --S 28 of 514 a0205:= integrate(t0205,x) --R --R --R x n 3 --R ++ log(c (%I b + a) ) --R (18) | ------------------- d%I --R ++ 2 --R %I --R Type: Union(Expression(Integer),...) --E 28 --S 29 of 514 --m0205:= a0205-r0205 --E 29 --S 30 of 514 --d0205:= D(m0205,x) --E 30 --S 31 of 514 t0206:= log(c*(a+b*x)^n)^3/x^3 --R --R --R n 3 --R log(c (b x + a) ) --R (19) ------------------ --R 3 --R x --R Type: Expression(Integer) --E 31 --S 32 of 514 r0206:= 3*b^2*n^2*log(-b*x/a)*log(c*(a+b*x)^n)/a^2-3/2*b*n*(a+b*x)*_ log(c*(a+b*x)^n)^2/a^2/x-3/2*b^2*n*log(-b*x/a)*_ log(c*(a+b*x)^n)^2/a^2+1/2*b^2*log(c*(a+b*x)^n)^3/a^2-1/2*_ log(c*(a+b*x)^n)^3/x^2+3*b^2*n^2*(n-log(c*(a+b*x)^n))*_ polylog(2,1+b*x/a)/a^2+3*b^2*n^3*polylog(3,(a+b*x)/a)/a^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 Fraction(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 32 --S 33 of 514 a0206:= integrate(t0206,x) --R --R --R x n 3 --R ++ log(c (%I b + a) ) --R (20) | ------------------- d%I --R ++ 3 --R %I --R Type: Union(Expression(Integer),...) --E 33 --S 34 of 514 --m0206:= a0206-r0206 --E 34 --S 35 of 514 --d0206:= D(m0206,x) --E 35 --S 36 of 514 t0207:= x^3/log(c*(a+b*x)^n) --R --R --R 3 --R x --R (21) ----------------- --R n --R log(c (b x + a) ) --R Type: Expression(Integer) --E 36 --S 37 of 514 r0207:= -a^3*(a+b*x)*Ei(log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(1/n))/b^4/n+_ 3*a^2*(a+b*x)^2*Ei(2*log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(2/n))/b^4/n-_ 3*a*(a+b*x)^3*Ei(3*log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(3/n))/b^4/n+_ (a+b*x)^4*Ei(4*log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(4/n))/b^4/n --R --R --R (22) --R 1 2 --R - - --R 4 4 3 3 2 2 2 3 4 n n n n --R (b x + 4a b x + 6a b x + 4a b x + a )(c (b x + a) ) (c (b x + a) ) --R * --R 3 --R - n --R n n 4log(c (b x + a) ) --R (c (b x + a) ) Ei(------------------) --R n --R + --R 1 2 --R - - --R 3 3 2 2 2 3 4 n n n n --R (- 3a b x - 9a b x - 9a b x - 3a )(c (b x + a) ) (c (b x + a) ) --R * --R 4 --R - n --R n n 3log(c (b x + a) ) --R (c (b x + a) ) Ei(------------------) --R n --R + --R 1 3 4 --R - - - --R 2 2 2 3 4 n n n n n n --R (3a b x + 6a b x + 3a )(c (b x + a) ) (c (b x + a) ) (c (b x + a) ) --R * --R n --R 2log(c (b x + a) ) --R Ei(------------------) --R n --R + --R 2 3 4 --R - - - --R 3 4 n n n n n n --R (- a b x - a )(c (b x + a) ) (c (b x + a) ) (c (b x + a) ) --R * --R n --R log(c (b x + a) ) --R Ei(-----------------) --R n --R / --R 1 2 3 4 --R - - - - --R 4 n n n n n n n n --R b n (c (b x + a) ) (c (b x + a) ) (c (b x + a) ) (c (b x + a) ) --R Type: Expression(Integer) --E 37 --S 38 of 514 a0207:= integrate(t0207,x) --R --R --R x 3 --R ++ %I --R (23) | ------------------ d%I --R ++ n --R log(c (%I b + a) ) --R Type: Union(Expression(Integer),...) --E 38 --S 39 of 514 --m0207:= a0207-r0207 --E 39 --S 40 of 514 --d0207:= D(m0207,x) --E 40 --S 41 of 514 t0208:= x^2/log(c*(a+b*x)^n) --R --R --R 2 --R x --R (24) ----------------- --R n --R log(c (b x + a) ) --R Type: Expression(Integer) --E 41 --S 42 of 514 r0208:= a^2*(a+b*x)*Ei(log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(1/n))/b^3/n-_ 2*a*(a+b*x)^2*Ei(2*log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(2/n))/b^3/n+_ (a+b*x)^3*Ei(3*log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(3/n))/b^3/n --R --R --R (25) --R 1 2 --R - - --R 3 3 2 2 2 3 n n n n --R (b x + 3a b x + 3a b x + a )(c (b x + a) ) (c (b x + a) ) --R * --R n --R 3log(c (b x + a) ) --R Ei(------------------) --R n --R + --R 1 3 --R - - --R 2 2 2 3 n n n n --R (- 2a b x - 4a b x - 2a )(c (b x + a) ) (c (b x + a) ) --R * --R n --R 2log(c (b x + a) ) --R Ei(------------------) --R n --R + --R 2 3 --R - - n --R 2 3 n n n n log(c (b x + a) ) --R (a b x + a )(c (b x + a) ) (c (b x + a) ) Ei(-----------------) --R n --R / --R 1 2 3 --R - - - --R 3 n n n n n n --R b n (c (b x + a) ) (c (b x + a) ) (c (b x + a) ) --R Type: Expression(Integer) --E 42 --S 43 of 514 a0208:= integrate(t0208,x) --R --R --R x 2 --R ++ %I --R (26) | ------------------ d%I --R ++ n --R log(c (%I b + a) ) --R Type: Union(Expression(Integer),...) --E 43 --S 44 of 514 --m0208:= a0208-r0208 --E 44 --S 45 of 514 --d0208:= D(m0208,x) --E 45 --S 46 of 514 t0209:= x/log(c*(a+b*x)^n) --R --R --R x --R (27) ----------------- --R n --R log(c (b x + a) ) --R Type: Expression(Integer) --E 46 --S 47 of 514 r0209:= -a*(a+b*x)*Ei(log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(1/n))/b^2/n+_ (a+b*x)^2*Ei(2*log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(2/n))/b^2/n --R --R --R (28) --R 1 --R - n --R 2 2 2 n n 2log(c (b x + a) ) --R (b x + 2a b x + a )(c (b x + a) ) Ei(------------------) --R n --R + --R 2 --R - n --R 2 n n log(c (b x + a) ) --R (- a b x - a )(c (b x + a) ) Ei(-----------------) --R n --R / --R 1 2 --R - - --R 2 n n n n --R b n (c (b x + a) ) (c (b x + a) ) --R Type: Expression(Integer) --E 47 --S 48 of 514 a0209:= integrate(t0209,x) --R --R --R x --R ++ %I --R (29) | ------------------ d%I --R ++ n --R log(c (%I b + a) ) --R Type: Union(Expression(Integer),...) --E 48 --S 49 of 514 --m0209:= a0209-r0209 --E 49 --S 50 of 514 --d0209:= D(m0209,x) --E 50 --S 51 of 514 t0210:= 1/log(c*(a+b*x)^n) --R --R --R 1 --R (30) ----------------- --R n --R log(c (b x + a) ) --R Type: Expression(Integer) --E 51 --S 52 of 514 r0210:= (a+b*x)*Ei(log(c*(a+b*x)^n)/n)/b/n/((c*(a+b*x)^n)^(1/n)) --R --R --R n --R log(c (b x + a) ) --R (b x + a)Ei(-----------------) --R n --R (31) ------------------------------ --R 1 --R - --R n n --R b n (c (b x + a) ) --R Type: Expression(Integer) --E 52 --S 53 of 514 a0210:= integrate(t0210,x) --R --R --R x --R ++ 1 --R (32) | ------------------ d%I --R ++ n --R log(c (%I b + a) ) --R Type: Union(Expression(Integer),...) --E 53 --S 54 of 514 --m0210:= a0210-r0210 --E 54 --S 55 of 514 --d0210:= D(m0210,x) --E 55 --S 56 of 514 t0211:= x^3/log(c*(a+b*x)^n)^2 --R --R --R 3 --R x --R (33) ------------------ --R n 2 --R log(c (b x + a) ) --R Type: Expression(Integer) --E 56 --S 57 of 514 r0211:= -a^3*(a+b*x)*Ei(log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(1/n))/b^4/n^2+_ 6*a^2*(a+b*x)^2*Ei(2*log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(2/n))/_ b^4/n^2-9*a*(a+b*x)^3*Ei(3*log(c*(a+b*x)^n)/n)/_ ((c*(a+b*x)^n)^(3/n))/b^4/n^2+4*(a+b*x)^4*Ei(4*log(c*(a+b*x)^n)/n)/_ ((c*(a+b*x)^n)^(4/n))/b^4/n^2+a^3*(a+b*x)/b^4/n/log(c*(a+b*x)^n)-_ 3*a^2*(a+b*x)^2/b^4/n/log(c*(a+b*x)^n)+3*a*(a+b*x)^3/b^4/n/_ log(c*(a+b*x)^n)-(a+b*x)^4/b^4/n/log(c*(a+b*x)^n) --R --R --R (34) --R 4 4 3 3 2 2 2 3 4 n --R (4b x + 16a b x + 24a b x + 16a b x + 4a )log(c (b x + a) ) --R * --R 1 2 3 --R - - - n --R n n n n n n 4log(c (b x + a) ) --R (c (b x + a) ) (c (b x + a) ) (c (b x + a) ) Ei(------------------) --R n --R + --R 1 --R - --R 3 3 2 2 2 3 4 n n n --R (- 9a b x - 27a b x - 27a b x - 9a )log(c (b x + a) )(c (b x + a) ) --R * --R 2 4 --R - - n --R n n n n 3log(c (b x + a) ) --R (c (b x + a) ) (c (b x + a) ) Ei(------------------) --R n --R + --R 1 --R - --R 2 2 2 3 4 n n n --R (6a b x + 12a b x + 6a )log(c (b x + a) )(c (b x + a) ) --R * --R 3 4 --R - - n --R n n n n 2log(c (b x + a) ) --R (c (b x + a) ) (c (b x + a) ) Ei(------------------) --R n --R + --R 2 3 --R - - --R 3 4 n n n n n --R (- a b x - a )log(c (b x + a) )(c (b x + a) ) (c (b x + a) ) --R * --R 4 --R - n --R n n log(c (b x + a) ) --R (c (b x + a) ) Ei(-----------------) --R n --R + --R 1 2 3 --R - - - --R 4 4 3 3 n n n n n n --R (- b n x - a b n x )(c (b x + a) ) (c (b x + a) ) (c (b x + a) ) --R * --R 4 --R - --R n n --R (c (b x + a) ) --R / --R 1 2 3 --R - - - --R 4 2 n n n n n n n --R b n log(c (b x + a) )(c (b x + a) ) (c (b x + a) ) (c (b x + a) ) --R * --R 4 --R - --R n n --R (c (b x + a) ) --R Type: Expression(Integer) --E 57 --S 58 of 514 a0211:= integrate(t0211,x) --R --R --R x 3 --R ++ %I --R (35) | ------------------- d%I --R ++ n 2 --R log(c (%I b + a) ) --R Type: Union(Expression(Integer),...) --E 58 --S 59 of 514 --m0211:= a0211-r0211 --E 59 --S 60 of 514 --d0211:= D(m0211,x) --E 60 --S 61 of 514 t0212:= x^2/log(c*(a+b*x)^n)^2 --R --R --R 2 --R x --R (36) ------------------ --R n 2 --R log(c (b x + a) ) --R Type: Expression(Integer) --E 61 --S 62 of 514 r0212:= a^2*(a+b*x)*Ei(log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(1/n))/b^3/n^2-_ 4*a*(a+b*x)^2*Ei(2*log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(2/n))/b^3/n^2+_ 3*(a+b*x)^3*Ei(3*log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(3/n))/b^3/n^2-_ a^2*(a+b*x)/b^3/n/log(c*(a+b*x)^n)+2*a*(a+b*x)^2/b^3/n/_ log(c*(a+b*x)^n)-(a+b*x)^3/b^3/n/log(c*(a+b*x)^n) --R --R --R (37) --R 1 --R - --R 3 3 2 2 2 3 n n n --R (3b x + 9a b x + 9a b x + 3a )log(c (b x + a) )(c (b x + a) ) --R * --R 2 --R - n --R n n 3log(c (b x + a) ) --R (c (b x + a) ) Ei(------------------) --R n --R + --R 1 --R - --R 2 2 2 3 n n n --R (- 4a b x - 8a b x - 4a )log(c (b x + a) )(c (b x + a) ) --R * --R 3 --R - n --R n n 2log(c (b x + a) ) --R (c (b x + a) ) Ei(------------------) --R n --R + --R 2 3 --R - - --R 2 3 n n n n n --R (a b x + a )log(c (b x + a) )(c (b x + a) ) (c (b x + a) ) --R * --R n --R log(c (b x + a) ) --R Ei(-----------------) --R n --R + --R 1 2 3 --R - - - --R 3 3 2 2 n n n n n n --R (- b n x - a b n x )(c (b x + a) ) (c (b x + a) ) (c (b x + a) ) --R / --R 1 2 3 --R - - - --R 3 2 n n n n n n n --R b n log(c (b x + a) )(c (b x + a) ) (c (b x + a) ) (c (b x + a) ) --R Type: Expression(Integer) --E 62 --S 63 of 514 a0212:= integrate(t0212,x) --R --R --R x 2 --R ++ %I --R (38) | ------------------- d%I --R ++ n 2 --R log(c (%I b + a) ) --R Type: Union(Expression(Integer),...) --E 63 --S 64 of 514 --m0212:= a0212-r0212 --E 64 --S 65 of 514 --d0212:= D(m0212,x) --E 65 --S 66 of 514 t0213:= x/log(c*(a+b*x)^n)^2 --R --R --R x --R (39) ------------------ --R n 2 --R log(c (b x + a) ) --R Type: Expression(Integer) --E 66 --S 67 of 514 r0213:= -a*(a+b*x)*Ei(log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(1/n))/b^2/n^2+_ 2*(a+b*x)^2*Ei(2*log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(2/n))/b^2/n^2+_ a*(a+b*x)/b^2/n/log(c*(a+b*x)^n)-(a+b*x)^2/b^2/n/log(c*(a+b*x)^n) --R --R --R (40) --R 1 --R - --R 2 2 2 n n n --R (2b x + 4a b x + 2a )log(c (b x + a) )(c (b x + a) ) --R * --R n --R 2log(c (b x + a) ) --R Ei(------------------) --R n --R + --R 2 --R - n --R 2 n n n log(c (b x + a) ) --R (- a b x - a )log(c (b x + a) )(c (b x + a) ) Ei(-----------------) --R n --R + --R 1 2 --R - - --R 2 2 n n n n --R (- b n x - a b n x)(c (b x + a) ) (c (b x + a) ) --R / --R 1 2 --R - - --R 2 2 n n n n n --R b n log(c (b x + a) )(c (b x + a) ) (c (b x + a) ) --R Type: Expression(Integer) --E 67 --S 68 of 514 a0213:= integrate(t0213,x) --R --R --R x --R ++ %I --R (41) | ------------------- d%I --R ++ n 2 --R log(c (%I b + a) ) --R Type: Union(Expression(Integer),...) --E 68 --S 69 of 514 --m0213:= a0213-r0213 --E 69 --S 70 of 514 --d0213:= D(m0213,x) --E 70 --S 71 of 514 t0214:= 1/log(c*(a+b*x)^n)^2 --R --R --R 1 --R (42) ------------------ --R n 2 --R log(c (b x + a) ) --R Type: Expression(Integer) --E 71 --S 72 of 514 r0214:= (a+b*x)*Ei(log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(1/n))/b/n^2-_ (a+b*x)/b/n/log(c*(a+b*x)^n) --R --R --R (43) --R n --R n log(c (b x + a) ) --R (b x + a)log(c (b x + a) )Ei(-----------------) --R n --R + --R 1 --R - --R n n --R (- b n x - a n)(c (b x + a) ) --R / --R 1 --R - --R 2 n n n --R b n log(c (b x + a) )(c (b x + a) ) --R Type: Expression(Integer) --E 72 --S 73 of 514 a0214:= integrate(t0214,x) --R --R --R x --R ++ 1 --R (44) | ------------------- d%I --R ++ n 2 --R log(c (%I b + a) ) --R Type: Union(Expression(Integer),...) --E 73 --S 74 of 514 --m0214:= a0214-r0214 --E 74 --S 75 of 514 --d0214:= D(m0214,x) --E 75 --S 76 of 514 t0215:= x^3/log(c*(a+b*x)^n)^3 --R --R --R 3 --R x --R (45) ------------------ --R n 3 --R log(c (b x + a) ) --R Type: Expression(Integer) --E 76 --S 77 of 514 r0215:= -1/2*a^3*(a+b*x)*Ei(log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(1/n))/_ b^4/n^3+6*a^2*(a+b*x)^2*Ei(2*log(c*(a+b*x)^n)/n)/_ ((c*(a+b*x)^n)^(2/n))/b^4/n^3-27/2*a*(a+b*x)^3*_ Ei(3*log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(3/n))/b^4/n^3+8*(a+b*x)^4*_ Ei(4*log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(4/n))/b^4/n^3-_ 1/2*x^3*(a+b*x)/b/n/log(c*(a+b*x)^n)^2-_ 1/2*x^2*(a+b*x)*(3*a+4*b*x)/b^2/n^2/log(c*(a+b*x)^n) --R --R --R (46) --R 4 4 3 3 2 2 2 3 4 n 2 --R (16b x + 64a b x + 96a b x + 64a b x + 16a )log(c (b x + a) ) --R * --R 1 2 3 --R - - - n --R n n n n n n 4log(c (b x + a) ) --R (c (b x + a) ) (c (b x + a) ) (c (b x + a) ) Ei(------------------) --R n --R + --R 3 3 2 2 2 3 4 n 2 --R (- 27a b x - 81a b x - 81a b x - 27a )log(c (b x + a) ) --R * --R 1 2 4 --R - - - n --R n n n n n n 3log(c (b x + a) ) --R (c (b x + a) ) (c (b x + a) ) (c (b x + a) ) Ei(------------------) --R n --R + --R 1 --R - --R 2 2 2 3 4 n 2 n n --R (12a b x + 24a b x + 12a )log(c (b x + a) ) (c (b x + a) ) --R * --R 3 4 --R - - n --R n n n n 2log(c (b x + a) ) --R (c (b x + a) ) (c (b x + a) ) Ei(------------------) --R n --R + --R 2 3 --R - - --R 3 4 n 2 n n n n --R (- a b x - a )log(c (b x + a) ) (c (b x + a) ) (c (b x + a) ) --R * --R 4 --R - n --R n n log(c (b x + a) ) --R (c (b x + a) ) Ei(-----------------) --R n --R + --R 4 4 3 3 2 2 2 n 4 2 4 --R (- 4b n x - 7a b n x - 3a b n x )log(c (b x + a) ) - b n x --R + --R 3 2 3 --R - a b n x --R * --R 1 2 3 4 --R - - - - --R n n n n n n n n --R (c (b x + a) ) (c (b x + a) ) (c (b x + a) ) (c (b x + a) ) --R / --R 1 2 3 --R - - - --R 4 3 n 2 n n n n n n --R 2b n log(c (b x + a) ) (c (b x + a) ) (c (b x + a) ) (c (b x + a) ) --R * --R 4 --R - --R n n --R (c (b x + a) ) --R Type: Expression(Integer) --E 77 --S 78 of 514 a0215:= integrate(t0215,x) --R --R --R x 3 --R ++ %I --R (47) | ------------------- d%I --R ++ n 3 --R log(c (%I b + a) ) --R Type: Union(Expression(Integer),...) --E 78 --S 79 of 514 --m0215:= a0215-r0215 --E 79 --S 80 of 514 --d0215:= D(m0215,x) --E 80 --S 81 of 514 t0216:= x^2/log(c*(a+b*x)^n)^3 --R --R --R 2 --R x --R (48) ------------------ --R n 3 --R log(c (b x + a) ) --R Type: Expression(Integer) --E 81 --S 82 of 514 r0216:= 1/2*a^2*(a+b*x)*Ei(log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(1/n))/b^3/n^3-_ 4*a*(a+b*x)^2*Ei(2*log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(2/n))/b^3/n^3+_ 9/2*(a+b*x)^3*Ei(3*log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(3/n))/b^3/n^3-_ 1/2*x^2*(a+b*x)/b/n/log(c*(a+b*x)^n)^2-1/2*x*(a+b*x)*_ (2*a+3*b*x)/b^2/n^2/log(c*(a+b*x)^n) --R --R --R (49) --R 1 --R - --R 3 3 2 2 2 3 n 2 n n --R (9b x + 27a b x + 27a b x + 9a )log(c (b x + a) ) (c (b x + a) ) --R * --R 2 --R - n --R n n 3log(c (b x + a) ) --R (c (b x + a) ) Ei(------------------) --R n --R + --R 1 --R - --R 2 2 2 3 n 2 n n --R (- 8a b x - 16a b x - 8a )log(c (b x + a) ) (c (b x + a) ) --R * --R 3 --R - n --R n n 2log(c (b x + a) ) --R (c (b x + a) ) Ei(------------------) --R n --R + --R 2 3 --R - - --R 2 3 n 2 n n n n --R (a b x + a )log(c (b x + a) ) (c (b x + a) ) (c (b x + a) ) --R * --R n --R log(c (b x + a) ) --R Ei(-----------------) --R n --R + --R 3 3 2 2 2 n 3 2 3 --R (- 3b n x - 5a b n x - 2a b n x)log(c (b x + a) ) - b n x --R + --R 2 2 2 --R - a b n x --R * --R 1 2 3 --R - - - --R n n n n n n --R (c (b x + a) ) (c (b x + a) ) (c (b x + a) ) --R / --R 1 2 3 --R - - - --R 3 3 n 2 n n n n n n --R 2b n log(c (b x + a) ) (c (b x + a) ) (c (b x + a) ) (c (b x + a) ) --R Type: Expression(Integer) --E 82 --S 83 of 514 a0216:= integrate(t0216,x) --R --R --R x 2 --R ++ %I --R (50) | ------------------- d%I --R ++ n 3 --R log(c (%I b + a) ) --R Type: Union(Expression(Integer),...) --E 83 --S 84 of 514 --m0216:= a0216-r0216 --E 84 --S 85 of 514 --d0216:= D(m0216,x) --E 85 --S 86 of 514 t0217:= x/log(c*(a+b*x)^n)^3 --R --R --R x --R (51) ------------------ --R n 3 --R log(c (b x + a) ) --R Type: Expression(Integer) --E 86 --S 87 of 514 r0217:= -1/2*a*(a+b*x)*Ei(log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(1/n))/b^2/n^3+_ 2*(a+b*x)^2*Ei(2*log(c*(a+b*x)^n)/n)/((c*(a+b*x)^n)^(2/n))/b^2/n^3-_ 1/2*x*(a+b*x)/b/n/log(c*(a+b*x)^n)^2-1/2*(a+b*x)*(a+2*b*x)/_ b^2/n^2/log(c*(a+b*x)^n) --R --R --R (52) --R 1 --R - --R 2 2 2 n 2 n n --R (4b x + 8a b x + 4a )log(c (b x + a) ) (c (b x + a) ) --R * --R n --R 2log(c (b x + a) ) --R Ei(------------------) --R n --R + --R 2 --R - n --R 2 n 2 n n log(c (b x + a) ) --R (- a b x - a )log(c (b x + a) ) (c (b x + a) ) Ei(-----------------) --R n --R + --R 2 2 2 n 2 2 2 2 --R ((- 2b n x - 3a b n x - a n)log(c (b x + a) ) - b n x - a b n x) --R * --R 1 2 --R - - --R n n n n --R (c (b x + a) ) (c (b x + a) ) --R / --R 1 2 --R - - --R 2 3 n 2 n n n n --R 2b n log(c (b x + a) ) (c (b x + a) ) (c (b x + a) ) --R Type: Expression(Integer) --E 87 --S 88 of 514 a0217:= integrate(t0217,x) --R --R --R x --R ++ %I --R (53) | ------------------- d%I --R ++ n 3 --R log(c (%I b + a) ) --R Type: Union(Expression(Integer),...) --E 88 --S 89 of 514 --m0217:= a0217-r0217 --E 89 --S 90 of 514 --d0217:= D(m0217,x) --E 90 --S 91 of 514 t0218:= 1/log(c*(a+b*x)^n)^3 --R --R --R 1 --R (54) ------------------ --R n 3 --R log(c (b x + a) ) --R Type: Expression(Integer) --E 91 --S 92 of 514 r0218:= 1/2*(a+b*x)*(Ei(log(c*(a+b*x)^n)/n)*(c*(a+b*x)^n)^(-1/n)*_ log(c*(a+b*x)^n)^2-n^2-n*log(c*(a+b*x)^n))/n^3/b/log(c*(a+b*x)^n)^2 --R --R --R (55) --R 1 --R - - n --R n 2 n n log(c (b x + a) ) --R (b x + a)log(c (b x + a) ) (c (b x + a) ) Ei(-----------------) --R n --R + --R n 2 2 --R (- b n x - a n)log(c (b x + a) ) - b n x - a n --R / --R 3 n 2 --R 2b n log(c (b x + a) ) --R Type: Expression(Integer) --E 92 --S 93 of 514 a0218:= integrate(t0218,x) --R --R --R x --R ++ 1 --R (56) | ------------------- d%I --R ++ n 3 --R log(c (%I b + a) ) --R Type: Union(Expression(Integer),...) --E 93 --S 94 of 514 --m0218:= a0218-r0218 --E 94 --S 95 of 514 --d0218:= D(m0218,x) --E 95 --S 96 of 514 t0219:= log(c+d*x)/(a+b*x)^3 --R --R --R log(d x + c) --R (57) ---------------------------- --R 3 3 2 2 2 3 --R b x + 3a b x + 3a b x + a --R Type: Expression(Integer) --E 96 --S 97 of 514 r0219:= -1/2*d/b/(b*c-a*d)/(a+b*x)-1/2*d^2*log(a+b*x)/b/(b*c-a*d)^2+_ 1/2*d^2*log(c+d*x)/b/(b*c-a*d)^2-1/2*log(c+d*x)/b/(a+b*x)^2 --R --R --R (58) --R 2 2 2 2 2 2 --R (b d x + 2a b d x + 2a b c d - b c )log(d x + c) --R + --R 2 2 2 2 2 2 2 2 2 2 --R (- b d x - 2a b d x - a d )log(b x + a) + (a b d - b c d)x + a d --R + --R - a b c d --R / --R 2 3 2 4 5 2 2 3 2 2 2 3 4 2 --R (2a b d - 4a b c d + 2b c )x + (4a b d - 8a b c d + 4a b c )x --R + --R 4 2 3 2 2 3 2 --R 2a b d - 4a b c d + 2a b c --R Type: Expression(Integer) --E 97 --S 98 of 514 a0219:= integrate(t0219,x) --R --R --R (59) --R 2 2 2 2 2 2 --R (b d x + 2a b d x + 2a b c d - b c )log(d x + c) --R + --R 2 2 2 2 2 2 2 2 2 2 --R (- b d x - 2a b d x - a d )log(b x + a) + (a b d - b c d)x + a d --R + --R - a b c d --R / --R 2 3 2 4 5 2 2 3 2 2 2 3 4 2 --R (2a b d - 4a b c d + 2b c )x + (4a b d - 8a b c d + 4a b c )x --R + --R 4 2 3 2 2 3 2 --R 2a b d - 4a b c d + 2a b c --R Type: Union(Expression(Integer),...) --E 98 --S 99 of 514 m0219:= a0219-r0219 --R --R --R (60) 0 --R Type: Expression(Integer) --E 99 --S 100 of 514 d0219:= D(m0219,x) --R --R --R (61) 0 --R Type: Expression(Integer) --E 100 --S 101 of 514 t0220:= log(c+d*x)^2/(a+b*x)^2 --R --R --R 2 --R log(d x + c) --R (62) ------------------ --R 2 2 2 --R b x + 2a b x + a --R Type: Expression(Integer) --E 101 --S 102 of 514 r0220:= 2*d*log(-d*(a+b*x)/(b*c-a*d))*log(c+d*x)/b/(b*c-a*d)-_ d*log(c+d*x)^2/b/(b*c-a*d)-log(c+d*x)^2/b/(a+b*x)+_ 2*d*polylog(2,b*(c+d*x)/(b*c-a*d))/b/(b*c-a*d) --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 Fraction(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 102 --S 103 of 514 a0220:= integrate(t0220,x) --R --R --R x 2 --R ++ log(%I d + c) --R (63) | -------------------- d%I --R ++ 2 2 2 --R %I b + 2%I a b + a --R Type: Union(Expression(Integer),...) --E 103 --S 104 of 514 --m0220:= a0220-r0220 --E 104 --S 105 of 514 --d0220:= D(m0220,x) --E 105 --S 106 of 514 t0221:= log(c+d*x)^2/(a+b*x)^3 --R --R --R 2 --R log(d x + c) --R (64) ---------------------------- --R 3 3 2 2 2 3 --R b x + 3a b x + 3a b x + a --R Type: Expression(Integer) --E 106 --S 107 of 514 r0221:= d^2*log(a+b*x)/b/(b*c-a*d)^2-d^2*log(c+d*x)/b/(b*c-a*d)^2-_ d*log(c+d*x)/b/(b*c-a*d)/(a+b*x)-d^2*log(-d*(a+b*x)/(b*c-a*d))*_ log(c+d*x)/b/(b*c-a*d)^2+1/2*d^2*log(c+d*x)^2/b/(b*c-a*d)^2-_ 1/2*log(c+d*x)^2/b/(a+b*x)^2-d^2*polylog(2,b*(c+d*x)/_ (b*c-a*d))/b/(b*c-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 Fraction(Polynomial(Integer)) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 107 --S 108 of 514 a0221:= integrate(t0221,x) --R --R --R x 2 --R ++ log(%I d + c) --R (65) | ------------------------------- d%I --R ++ 3 3 2 2 2 3 --R %I b + 3%I a b + 3%I a b + a --R Type: Union(Expression(Integer),...) --E 108 --S 109 of 514 --m0221:= a0221-r0221 --E 109 --S 110 of 514 --d0221:= D(m0221,x) --E 110 --S 111 of 514 t0222:= log(c+d*x)^3/(a+b*x)^2 --R --R --R 3 --R log(d x + c) --R (66) ------------------ --R 2 2 2 --R b x + 2a b x + a --R Type: Expression(Integer) --E 111 --S 112 of 514 r0222:= 3*d*log(-d*(a+b*x)/(b*c-a*d))*log(c+d*x)^2/b/(b*c-a*d)-_ d*log(c+d*x)^3/b/(b*c-a*d)-log(c+d*x)^3/b/(a+b*x)+_ 6*d*log(c+d*x)*polylog(2,b*(c+d*x)/(b*c-a*d))/b/(b*c-a*d)-_ 6*d*polylog(3,b*(c+d*x)/(b*c-a*d))/b/(b*c-a*d) --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Fraction(Polynomial(Integer)) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 112 --S 113 of 514 a0222:= integrate(t0222,x) --R --R --R x 3 --R ++ log(%I d + c) --R (67) | -------------------- d%I --R ++ 2 2 2 --R %I b + 2%I a b + a --R Type: Union(Expression(Integer),...) --E 113 --S 114 of 514 --m0222:= a0222-r0222 --E 114 --S 115 of 514 --d0222:= D(m0222,x) --E 115 --S 116 of 514 t0223:= log(c+d*x)^3/(a+b*x)^3 --R --R --R 3 --R log(d x + c) --R (68) ---------------------------- --R 3 3 2 2 2 3 --R b x + 3a b x + 3a b x + a --R Type: Expression(Integer) --E 116 --S 117 of 514 r0223:= 3*d^2*log(-d*(a+b*x)/(b*c-a*d))*log(c+d*x)/b/(b*c-a*d)^2-_ 3/2*d^2*log(c+d*x)^2/b/(b*c-a*d)^2-3/2*d*log(c+d*x)^2/b/_ (b*c-a*d)/(a+b*x)-3/2*d^2*log(-d*(a+b*x)/(b*c-a*d))*log(c+d*x)^2/_ b/(b*c-a*d)^2+1/2*d^2*log(c+d*x)^3/b/(b*c-a*d)^2-1/2*log(c+d*x)^3/_ b/(a+b*x)^2+3*d^2*(1-log(c+d*x))*polylog(2,b*(c+d*x)/(b*c-a*d))/_ b/(b*c-a*d)^2+3*d^2*polylog(3,b*(c+d*x)/(b*c-a*d))/b/(b*c-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 Fraction(Polynomial(Integer)) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 117 --S 118 of 514 a0223:= integrate(t0223,x) --R --R --R x 3 --R ++ log(%I d + c) --R (69) | ------------------------------- d%I --R ++ 3 3 2 2 2 3 --R %I b + 3%I a b + 3%I a b + a --R Type: Union(Expression(Integer),...) --E 118 --S 119 of 514 --m0223:= a0223-r0223 --E 119 --S 120 of 514 --d0223:= D(m0223,x) --E 120 --S 121 of 514 t0224:= log(c*(a+b*x)^n)/(d+e*x^2) --R --R --R n --R log(c (b x + a) ) --R (70) ----------------- --R 2 --R e x + d --R Type: Expression(Integer) --E 121 --S 122 of 514 r0224:= -1/2*(log(c*(a+b*x)^n)*log(-b*(-e)^(1/2)*(-d^(1/2)+(-e)^(1/2)*x)/_ (b*d^(1/2)*(-e)^(1/2)-a*e))-log(c*(a+b*x)^n)*log(b*(-e)^(1/2)*_ (d^(1/2)+(-e)^(1/2)*x)/(b*d^(1/2)*(-e)^(1/2)+a*e))+_ n*polylog(2,-e*(a+b*x)/(b*d^(1/2)*(-e)^(1/2)-a*e))-_ n*polylog(2,e*(a+b*x)/(b*d^(1/2)*(-e)^(1/2)+a*e)))/d^(1/2)/(-e)^(1/2) --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 122 --S 123 of 514 a0224:= integrate(t0224,x) --R --R --R x n --R ++ log(c (%I b + a) ) --R (71) | ------------------ d%I --R ++ 2 --R %I e + d --R Type: Union(Expression(Integer),...) --E 123 --S 124 of 514 --m0224:= a0224-r0224 --E 124 --S 125 of 514 --d0224:= D(m0224,x) --E 125 --S 126 of 514 t0225:= log(c*(a+b*x)^n)^2/(d+e*x^2) --R --R --R n 2 --R log(c (b x + a) ) --R (72) ------------------ --R 2 --R e x + d --R Type: Expression(Integer) --E 126 --S 127 of 514 r0225:= -1/2*(log(c*(a+b*x)^n)^2*log(-b*(-e)^(1/2)*(-d^(1/2)+(-e)^(1/2)*x)/_ (b*d^(1/2)*(-e)^(1/2)-a*e))-log(c*(a+b*x)^n)^2*log(b*(-e)^(1/2)*_ (d^(1/2)+(-e)^(1/2)*x)/(b*d^(1/2)*(-e)^(1/2)+a*e))+_ 2*n*log(c*(a+b*x)^n)*polylog(2,-e*(a+b*x)/(b*d^(1/2)*_ (-e)^(1/2)-a*e))-2*n*log(c*(a+b*x)^n)*polylog(2,e*(a+b*x)/_ (b*d^(1/2)*(-e)^(1/2)+a*e))-2*n^2*polylog(3,-e*(a+b*x)/_ (b*d^(1/2)*(-e)^(1/2)-a*e))+2*n^2*polylog(3,e*(a+b*x)/_ (b*d^(1/2)*(-e)^(1/2)+a*e)))/d^(1/2)/(-e)^(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 "$" to specify which version of the function you need. --E 127 --S 128 of 514 a0225:= integrate(t0225,x) --R --R --R x n 2 --R ++ log(c (%I b + a) ) --R (73) | ------------------- d%I --R ++ 2 --R %I e + d --R Type: Union(Expression(Integer),...) --E 128 --S 129 of 514 --m0225:= a0225-r0225 --E 129 --S 130 of 514 --d0225:= D(m0225,x) --E 130 --S 131 of 514 t0226:= log(c*(a+b*x)^n)^3/(d+e*x^2) --R --R --R n 3 --R log(c (b x + a) ) --R (74) ------------------ --R 2 --R e x + d --R Type: Expression(Integer) --E 131 --S 132 of 514 r0226:= -1/2*(log(c*(a+b*x)^n)^3*log(-b*(-e)^(1/2)*_ (-d^(1/2)+(-e)^(1/2)*x)/(b*d^(1/2)*(-e)^(1/2)-a*e))-_ log(c*(a+b*x)^n)^3*log(b*(-e)^(1/2)*(d^(1/2)+(-e)^(1/2)*x)/_ (b*d^(1/2)*(-e)^(1/2)+a*e))+3*n*log(c*(a+b*x)^n)^2*_ polylog(2,-e*(a+b*x)/(b*d^(1/2)*(-e)^(1/2)-a*e))-_ 3*n*log(c*(a+b*x)^n)^2*polylog(2,e*(a+b*x)/(b*d^(1/2)*(-e)^(1/2)+_ a*e))-6*n^2*log(c*(a+b*x)^n)*polylog(3,-e*(a+b*x)/(b*d^(1/2)*_ (-e)^(1/2)-a*e))+6*n^2*log(c*(a+b*x)^n)*polylog(3,e*(a+b*x)/_ (b*d^(1/2)*(-e)^(1/2)+a*e))+6*n^3*polylog(4,-e*(a+b*x)/_ (b*d^(1/2)*(-e)^(1/2)-a*e))-6*n^3*polylog(4,e*(a+b*x)/_ (b*d^(1/2)*(-e)^(1/2)+a*e)))/d^(1/2)/(-e)^(1/2) --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 132 --S 133 of 514 a0226:= integrate(t0226,x) --R --R --R x n 3 --R ++ log(c (%I b + a) ) --R (75) | ------------------- d%I --R ++ 2 --R %I e + d --R Type: Union(Expression(Integer),...) --E 133 --S 134 of 514 --m0226:= a0226-r0226 --E 134 --S 135 of 514 --d0226:= D(m0226,x) --E 135 --S 136 of 514 t0227:= log(c*(a+b*x)^n)/(d*x+e*x^2) --R --R --R n --R log(c (b x + a) ) --R (76) ----------------- --R 2 --R e x + d x --R Type: Expression(Integer) --E 136 --S 137 of 514 r0227:= -1/d*(-log(-b*x/a)*log(c*(a+b*x)^n)+_ log(c*(a+b*x)^n)*log(-b*(d+e*x)/(a*e-b*d))+_ n*polylog(2,e*(a+b*x)/(a*e-b*d))-n*polylog(2,(a+b*x)/a)) --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 Fraction(Polynomial(Integer)) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 137 --S 138 of 514 a0227:= integrate(t0227,x) --R --R --R x n --R ++ log(c (%I b + a) ) --R (77) | ------------------ d%I --R ++ 2 --R %I e + %I d --R Type: Union(Expression(Integer),...) --E 138 --S 139 of 514 --m0227:= a0227-r0227 --E 139 --S 140 of 514 --d0227:= D(m0227,x) --E 140 --S 141 of 514 t0228:= log(c*(a+b*x)^n)^2/(d*x+e*x^2) --R --R --R n 2 --R log(c (b x + a) ) --R (78) ------------------ --R 2 --R e x + d x --R Type: Expression(Integer) --E 141 --S 142 of 514 r0228:= -1/d*(-log(-b*x/a)*log(c*(a+b*x)^n)^2+log(c*(a+b*x)^n)^2*_ log(-b*(d+e*x)/(a*e-b*d))+2*n*log(c*(a+b*x)^n)*_ polylog(2,e*(a+b*x)/(a*e-b*d))-2*n*log(c*(a+b*x)^n)*_ polylog(2,(a+b*x)/a)+2*n^2*polylog(3,(a+b*x)/a)-2*_ n^2*polylog(3,e*(a+b*x)/(a*e-b*d))) --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Fraction(Polynomial(Integer)) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 142 --S 143 of 514 a0228:= integrate(t0228,x) --R --R --R x n 2 --R ++ log(c (%I b + a) ) --R (79) | ------------------- d%I --R ++ 2 --R %I e + %I d --R Type: Union(Expression(Integer),...) --E 143 --S 144 of 514 --m0228:= a0228-r0228 --E 144 --S 145 of 514 --d0228:= D(m0228,x) --E 145 --S 146 of 514 t0229:= log(c*(a+b*x)^n)^3/(d*x+e*x^2) --R --R --R n 3 --R log(c (b x + a) ) --R (80) ------------------ --R 2 --R e x + d x --R Type: Expression(Integer) --E 146 --S 147 of 514 r0229:= -1/d*(-log(-b*x/a)*log(c*(a+b*x)^n)^3+log(c*(a+b*x)^n)^3*_ log(-b*(d+e*x)/(a*e-b*d))+3*n*log(c*(a+b*x)^n)^2*_ polylog(2,e*(a+b*x)/(a*e-b*d))-3*n*log(c*(a+b*x)^n)^2*_ polylog(2,(a+b*x)/a)-6*n^2*log(c*(a+b*x)^n)*_ polylog(3,e*(a+b*x)/(a*e-b*d))+6*n^2*log(c*(a+b*x)^n)*_ polylog(3,(a+b*x)/a)-6*n^3*polylog(4,(a+b*x)/a)+6*n^3*_ polylog(4,e*(a+b*x)/(a*e-b*d))) --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 Fraction(Polynomial(Integer)) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 147 --S 148 of 514 a0229:= integrate(t0229,x) --R --R --R x n 3 --R ++ log(c (%I b + a) ) --R (81) | ------------------- d%I --R ++ 2 --R %I e + %I d --R Type: Union(Expression(Integer),...) --E 148 --S 149 of 514 --m0229:= a0229-r0229 --E 149 --S 150 of 514 --d0229:= D(m0229,x) --E 150 --S 151 of 514 t0230:= log(a+b*x)/(c+d*x+e*x^2) --R --R --R log(b x + a) --R (82) -------------- --R 2 --R e x + d x + c --R Type: Expression(Integer) --E 151 --S 152 of 514 r0230:= (log(a+b*x)*log(b*(-d+(d^2-4*c*e)^(1/2)-2*e*x)/_ (b*(d^2-4*c*e)^(1/2)-b*d+2*a*e))-log(a+b*x)*_ log(b*(d+(d^2-4*c*e)^(1/2)+2*e*x)/(b*(d^2-4*c*e)^(1/2)+_ b*d-2*a*e))+polylog(2,2*e*(a+b*x)/(b*(d^2-4*c*e)^(1/2)-_ b*d+2*a*e))-polylog(2,-2*e*(a+b*x)/(b*(d^2-4*c*e)^(1/2)+_ b*d-2*a*e)))/(d^2-4*c*e)^(1/2) --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 152 --S 153 of 514 a0230:= integrate(t0230,x) --R --R --R x --R ++ log(%I b + a) --R (83) | --------------- d%I --R ++ 2 --R %I e + %I d + c --R Type: Union(Expression(Integer),...) --E 153 --S 154 of 514 --m0230:= a0230-r0230 --E 154 --S 155 of 514 --d0230:= D(m0230,x) --E 155 --S 156 of 514 t0231:= log(c*(a+b*x)^n)/(d+e*x+f*x^2) --R --R --R n --R log(c (b x + a) ) --R (84) ----------------- --R 2 --R f x + e x + d --R Type: Expression(Integer) --E 156 --S 157 of 514 r0231:= (log(c*(a+b*x)^n)*log(b*(-e+(e^2-4*d*f)^(1/2)-2*f*x)/_ (-b*e+2*a*f+b*(e^2-4*d*f)^(1/2)))-log(c*(a+b*x)^n)*_ log(b*(e+(e^2-4*d*f)^(1/2)+2*f*x)/(b*e-2*a*f+b*(e^2-4*d*f)^(1/2)))+_ n*polylog(2,2*f*(a+b*x)/(-b*e+2*a*f+b*(e^2-4*d*f)^(1/2)))-_ n*polylog(2,-2*f*(a+b*x)/(b*e-2*a*f+b*(e^2-4*d*f)^(1/2))))/_ (e^2-4*d*f)^(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 "$" to specify which version of the function you need. --E 157 --S 158 of 514 a0231:= integrate(t0231,x) --R --R --R x n --R ++ log(c (%I b + a) ) --R (85) | ------------------ d%I --R ++ 2 --R %I f + %I e + d --R Type: Union(Expression(Integer),...) --E 158 --S 159 of 514 --m0231:= a0231-r0231 --E 159 --S 160 of 514 --d0231:= D(m0231,x) --E 160 --S 161 of 514 t0232:= log(c*(a+b*x)^n)^2/(d+e*x+f*x^2) --R --R --R n 2 --R log(c (b x + a) ) --R (86) ------------------ --R 2 --R f x + e x + d --R Type: Expression(Integer) --E 161 --S 162 of 514 r0232:= (log(c*(a+b*x)^n)^2*log(b*(-e+(e^2-4*d*f)^(1/2)-2*f*x)/_ (-b*e+2*a*f+b*(e^2-4*d*f)^(1/2)))-log(c*(a+b*x)^n)^2*_ log(b*(e+(e^2-4*d*f)^(1/2)+2*f*x)/(b*e-2*a*f+b*(e^2-4*d*f)^(1/2)))+_ 2*n*log(c*(a+b*x)^n)*polylog(2,2*f*(a+b*x)/(-b*e+2*a*f+_ b*(e^2-4*d*f)^(1/2)))-2*n*log(c*(a+b*x)^n)*polylog(2,-2*f*(a+b*x)/_ (b*e-2*a*f+b*(e^2-4*d*f)^(1/2)))-2*n^2*polylog(3,2*f*(a+b*x)/_ (-b*e+2*a*f+b*(e^2-4*d*f)^(1/2)))+2*n^2*_ polylog(3,-2*f*(a+b*x)/(b*e-2*a*f+b*(e^2-4*d*f)^(1/2))))/_ (e^2-4*d*f)^(1/2) --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 162 --S 163 of 514 a0232:= integrate(t0232,x) --R --R --R x n 2 --R ++ log(c (%I b + a) ) --R (87) | ------------------- d%I --R ++ 2 --R %I f + %I e + d --R Type: Union(Expression(Integer),...) --E 163 --S 164 of 514 --m0232:= a0232-r0232 --E 164 --S 165 of 514 --d0232:= D(m0232,x) --E 165 --S 166 of 514 t0233:= log(c*(a+b*x)^n)^3/(d+e*x+f*x^2) --R --R --R n 3 --R log(c (b x + a) ) --R (88) ------------------ --R 2 --R f x + e x + d --R Type: Expression(Integer) --E 166 --S 167 of 514 r0233:= (log(c*(a+b*x)^n)^3*log(b*(-e+(e^2-4*d*f)^(1/2)-2*f*x)/_ (-b*e+2*a*f+b*(e^2-4*d*f)^(1/2)))-log(c*(a+b*x)^n)^3*_ log(b*(e+(e^2-4*d*f)^(1/2)+2*f*x)/(b*e-2*a*f+b*(e^2-4*d*f)^(1/2)))+_ 3*n*log(c*(a+b*x)^n)^2*polylog(2,2*f*(a+b*x)/_ (-b*e+2*a*f+b*(e^2-4*d*f)^(1/2)))-3*n*log(c*(a+b*x)^n)^2*_ polylog(2,-2*f*(a+b*x)/(b*e-2*a*f+b*(e^2-4*d*f)^(1/2)))-_ 6*n^2*log(c*(a+b*x)^n)*polylog(3,2*f*(a+b*x)/_ (-b*e+2*a*f+b*(e^2-4*d*f)^(1/2)))+6*n^2*log(c*(a+b*x)^n)*_ polylog(3,-2*f*(a+b*x)/(b*e-2*a*f+b*(e^2-4*d*f)^(1/2)))+_ 6*n^3*polylog(4,2*f*(a+b*x)/(-b*e+2*a*f+b*(e^2-4*d*f)^(1/2)))-_ 6*n^3*polylog(4,-2*f*(a+b*x)/(b*e-2*a*f+b*(e^2-4*d*f)^(1/2))))/_ (e^2-4*d*f)^(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 "$" to specify which version of the function you need. --E 167 --S 168 of 514 a0233:= integrate(t0233,x) --R --R --R x n 3 --R ++ log(c (%I b + a) ) --R (89) | ------------------- d%I --R ++ 2 --R %I f + %I e + d --R Type: Union(Expression(Integer),...) --E 168 --S 169 of 514 --m0233:= a0233-r0233 --E 169 --S 170 of 514 --d0233:= D(m0233,x) --E 170 --S 171 of 514 t0234:= log(d*(b*x+c*x^2)^n)^2 --R --R --R 2 n 2 --R (90) log(d (c x + b x) ) --R Type: Expression(Integer) --E 171 --S 172 of 514 r0234:= -1/c*(-8*n^2*x*c+4*b*n^2*log(b+c*x)+2*b*n^2*log(-c*x/b)*_ log(b+c*x)+b*n^2*log(b+c*x)^2+4*n*x*log(d*(x*(b+c*x))^n)*c-_ x*log(d*(x*(b+c*x))^n)^2*c-2*b*n*log(b+c*x)*log(d*(x*(b+c*x))^n)+_ 2*b*n^2*polylog(2,(b+c*x)/b)) --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Fraction(Polynomial(Integer)) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 172 --S 173 of 514 a0234:= integrate(t0234,x) --R --R --R x --R ++ 2 n 2 --R (91) | log(d (%I c + %I b) ) d%I --R ++ --R Type: Union(Expression(Integer),...) --E 173 --S 174 of 514 --m0234:= a0234-r0234 --E 174 --S 175 of 514 --d0234:= D(m0234,x) --E 175 --S 176 of 514 t0235:= log(d*(b*x+c*x^2)^n)/x --R --R --R 2 n --R log(d (c x + b x) ) --R (92) -------------------- --R x --R Type: Expression(Integer) --E 176 --S 177 of 514 r0235:= -1/2*n*log(x)^2-n*log(x)*log((b+c*x)/b)+log(x)*_ log(d*(x*(b+c*x))^n)-n*polylog(2,-c*x/b) --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 Fraction(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 177 --S 178 of 514 a0235:= integrate(t0235,x) --R --R --R x 2 n --R ++ log(d (%I c + %I b) ) --R (93) | --------------------- d%I --R ++ %I --R Type: Union(Expression(Integer),...) --E 178 --S 179 of 514 --m0235:= a0235-r0235 --E 179 --S 180 of 514 --d0235:= D(m0235,x) --E 180 --S 181 of 514 t0236:= log(d*(a+b*x+c*x^2)^n) --R --R --R 2 n --R (94) log(d (c x + b x + a) ) --R Type: Expression(Integer) --E 181 --S 182 of 514 r0236:= -2*n*x+(b^2-4*a*c)^(1/2)*n*atanh((b+2*c*x)/(b^2-4*a*c)^(1/2))/c+_ 1/2*b*n*log(a+b*x+c*x^2)/c+x*log(d*(a+b*x+c*x^2)^n) --R --R --R (95) --R +-----------+ --R 2 n | 2 2c x + b --R 2c x log(d (c x + b x + a) ) + 2n\|- 4a c + b atanh(--------------) --R +-----------+ --R | 2 --R \|- 4a c + b --R + --R 2 --R b n log(c x + b x + a) - 4c n x --R / --R 2c --R Type: Expression(Integer) --E 182 --S 183 of 514 a0236:= integrate(t0236,x) --R --R --R (96) --R [ --R +-----------+ --R | 2 --R n\|- 4a c + b --R * --R +-----------+ --R | 2 2 2 2 --R (2c x + b)\|- 4a c + b + 2c x + 2b c x - 2a c + b --R log(-----------------------------------------------------) --R 2 --R c x + b x + a --R + --R 2 --R (2c n x + b n)log(c x + b x + a) + 2c x log(d) - 4c n x --R / --R 2c --R , --R --R +---------+ --R +---------+ | 2 --R | 2 \|4a c - b 2 --R - 2n\|4a c - b atan(------------) + (2c n x + b n)log(c x + b x + a) --R 2c x + b --R + --R 2c x log(d) - 4c n x --R / --R 2c --R ] --R Type: Union(List(Expression(Integer)),...) --E 183 --S 184 of 514 m0236a:= a0236.1-r0236 --R --R --R (97) --R +-----------+ --R +-----------+ | 2 2 2 2 --R | 2 (2c x + b)\|- 4a c + b + 2c x + 2b c x - 2a c + b --R n\|- 4a c + b log(-----------------------------------------------------) --R 2 --R c x + b x + a --R + --R +-----------+ --R 2 n | 2 2c x + b --R - 2c x log(d (c x + b x + a) ) - 2n\|- 4a c + b atanh(--------------) --R +-----------+ --R | 2 --R \|- 4a c + b --R + --R 2 --R 2c n x log(c x + b x + a) + 2c x log(d) --R / --R 2c --R Type: Expression(Integer) --E 184 --S 185 of 514 d0236a:= D(m0236a,x) --R --R --R (98) --R 2 2 n 2 n --R (- c x - b x - a)(c x + b x + a) log(d (c x + b x + a) ) --R + --R 2 2 2 --R (c n x + b n x + a n)log(c x + b x + a) + (c x + b x + a)log(d) --R + --R 2 --R 2c n x + b n x --R * --R 2 n --R (c x + b x + a) --R + --R 2 4 3 2 2 2 n - 1 --R (- 2c n x - 3b c n x + (- 2a c - b )n x - a b n x)(c x + b x + a) --R / --R 2 2 n --R (c x + b x + a)(c x + b x + a) --R Type: Expression(Integer) --E 185 --S 186 of 514 m0236b:= a0236.2-r0236 --R --R --R (99) --R +-----------+ --R 2 n | 2 2c x + b --R - c x log(d (c x + b x + a) ) - n\|- 4a c + b atanh(--------------) --R +-----------+ --R | 2 --R \|- 4a c + b --R + --R +---------+ --R +---------+ | 2 --R | 2 \|4a c - b 2 --R - n\|4a c - b atan(------------) + c n x log(c x + b x + a) + c x log(d) --R 2c x + b --R / --R c --R Type: Expression(Integer) --E 186 --S 187 of 514 d0236b:= D(m0236b,x) --R --R --R (100) --R 2 2 n 2 n --R (- c x - b x - a)(c x + b x + a) log(d (c x + b x + a) ) --R + --R 2 2 2 --R (c n x + b n x + a n)log(c x + b x + a) + (c x + b x + a)log(d) --R + --R 2 --R 2c n x + b n x --R * --R 2 n --R (c x + b x + a) --R + --R 2 4 3 2 2 2 n - 1 --R (- 2c n x - 3b c n x + (- 2a c - b )n x - a b n x)(c x + b x + a) --R / --R 2 2 n --R (c x + b x + a)(c x + b x + a) --R Type: Expression(Integer) --E 187 --S 188 of 514 t0237:= log(d*(a+b*x+c*x^2)^n)/x --R --R --R 2 n --R log(d (c x + b x + a) ) --R (101) ------------------------ --R x --R Type: Expression(Integer) --E 188 --S 189 of 514 r0237:= -n*log(x)*log((-b+(b^2-4*a*c)^(1/2)-2*c*x)/(-b+(b^2-4*a*c)^(1/2)))-_ n*log(x)*log((b+(b^2-4*a*c)^(1/2)+2*c*x)/(b+(b^2-4*a*c)^(1/2)))+_ log(x)*log(d*(a+b*x+c*x^2)^n)-_ n*polylog(2,2*c*x/(-b+(b^2-4*a*c)^(1/2)))-_ n*polylog(2,-2*c*x/(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 189 --S 190 of 514 a0237:= integrate(t0237,x) --R --R --R x 2 n --R ++ log(d (%I c + %I b + a) ) --R (102) | ------------------------- d%I --R ++ %I --R Type: Union(Expression(Integer),...) --E 190 --S 191 of 514 --m0237:= a0237-r0237 --E 191 --S 192 of 514 --d0237:= D(m0237,x) --E 192 --S 193 of 514 t0238:= log(a+b*x+c*x^2) --R --R --R 2 --R (103) log(c x + b x + a) --R Type: Expression(Integer) --E 193 --S 194 of 514 r0238:= -2*x+(b^2-4*a*c)^(1/2)*atanh((b+2*c*x)/(b^2-4*a*c)^(1/2))/c+_ 1/2*b*log(a+b*x+c*x^2)/c+x*log(a+b*x+c*x^2) --R --R --R (104) --R +-----------+ --R | 2 2c x + b 2 --R 2\|- 4a c + b atanh(--------------) + (2c x + b)log(c x + b x + a) - 4c x --R +-----------+ --R | 2 --R \|- 4a c + b --R --------------------------------------------------------------------------- --R 2c --R Type: Expression(Integer) --E 194 --S 195 of 514 a0238:= integrate(t0238,x) --R --R --R (105) --R [ --R +-----------+ --R | 2 --R \|- 4a c + b --R * --R +-----------+ --R | 2 2 2 2 --R (2c x + b)\|- 4a c + b + 2c x + 2b c x - 2a c + b --R log(-----------------------------------------------------) --R 2 --R c x + b x + a --R + --R 2 --R (2c x + b)log(c x + b x + a) - 4c x --R / --R 2c --R , --R +---------+ --R +---------+ | 2 --R | 2 \|4a c - b 2 --R - 2\|4a c - b atan(------------) + (2c x + b)log(c x + b x + a) - 4c x --R 2c x + b --R ------------------------------------------------------------------------] --R 2c --R Type: Union(List(Expression(Integer)),...) --E 195 --S 196 of 514 m0238a:= a0238.1-r0238 --R --R --R (106) --R +-----------+ --R +-----------+ | 2 2 2 2 --R | 2 (2c x + b)\|- 4a c + b + 2c x + 2b c x - 2a c + b --R \|- 4a c + b log(-----------------------------------------------------) --R 2 --R c x + b x + a --R + --R +-----------+ --R | 2 2c x + b --R - 2\|- 4a c + b atanh(--------------) --R +-----------+ --R | 2 --R \|- 4a c + b --R / --R 2c --R Type: Expression(Integer) --E 196 --S 197 of 514 d0238a:= D(m0238a,x) --R --R --R (107) 0 --R Type: Expression(Integer) --E 197 --S 198 of 514 m0238b:= a0238.2-r0238 --R --R --R (108) --R +---------+ --R +-----------+ +---------+ | 2 --R | 2 2c x + b | 2 \|4a c - b --R - \|- 4a c + b atanh(--------------) - \|4a c - b atan(------------) --R +-----------+ 2c x + b --R | 2 --R \|- 4a c + b --R ---------------------------------------------------------------------- --R c --R Type: Expression(Integer) --E 198 --S 199 of 514 d0238b:= D(m0238b,x) --R --R --R (109) 0 --R Type: Expression(Integer) --E 199 --S 200 of 514 t0239:= x*log(a+b*x+c*x^2) --R --R --R 2 --R (110) x log(c x + b x + a) --R Type: Expression(Integer) --E 200 --S 201 of 514 r0239:= 1/2*b*x/c-1/2*x^2-1/2*b*(b^2-4*a*c)^(1/2)*_ atanh((b+2*c*x)/(b^2-4*a*c)^(1/2))/c^2-1/4*(b^2-2*a*c)*_ log(a+b*x+c*x^2)/c^2+1/2*x^2*log(a+b*x+c*x^2) --R --R --R (111) --R +-----------+ --R | 2 2c x + b --R - 2b\|- 4a c + b atanh(--------------) --R +-----------+ --R | 2 --R \|- 4a c + b --R + --R 2 2 2 2 2 2 --R (2c x + 2a c - b )log(c x + b x + a) - 2c x + 2b c x --R / --R 2 --R 4c --R Type: Expression(Integer) --E 201 --S 202 of 514 a0239:= integrate(t0239,x) --R --R --R (112) --R [ --R +-----------+ --R | 2 --R b\|- 4a c + b --R * --R +-----------+ --R | 2 2 2 2 --R (- 2c x - b)\|- 4a c + b + 2c x + 2b c x - 2a c + b --R log(-------------------------------------------------------) --R 2 --R c x + b x + a --R + --R 2 2 2 2 2 2 --R (2c x + 2a c - b )log(c x + b x + a) - 2c x + 2b c x --R / --R 2 --R 4c --R , --R --R +---------+ --R +---------+ | 2 --R | 2 \|4a c - b --R 2b\|4a c - b atan(------------) --R 2c x + b --R + --R 2 2 2 2 2 2 --R (2c x + 2a c - b )log(c x + b x + a) - 2c x + 2b c x --R / --R 2 --R 4c --R ] --R Type: Union(List(Expression(Integer)),...) --E 202 --S 203 of 514 m0239a:= a0239.1-r0239 --R --R --R (113) --R +-----------+ --R | 2 --R b\|- 4a c + b --R * --R +-----------+ --R | 2 2 2 2 --R (- 2c x - b)\|- 4a c + b + 2c x + 2b c x - 2a c + b --R log(-------------------------------------------------------) --R 2 --R c x + b x + a --R + --R +-----------+ --R | 2 2c x + b --R 2b\|- 4a c + b atanh(--------------) --R +-----------+ --R | 2 --R \|- 4a c + b --R / --R 2 --R 4c --R Type: Expression(Integer) --E 203 --S 204 of 514 d0239a:= D(m0239a,x) --R --R --R (114) 0 --R Type: Expression(Integer) --E 204 --S 205 of 514 m0239b:= a0239.2-r0239 --R --R --R (115) --R +---------+ --R +-----------+ +---------+ | 2 --R | 2 2c x + b | 2 \|4a c - b --R b\|- 4a c + b atanh(--------------) + b\|4a c - b atan(------------) --R +-----------+ 2c x + b --R | 2 --R \|- 4a c + b --R ---------------------------------------------------------------------- --R 2 --R 2c --R Type: Expression(Integer) --E 205 --S 206 of 514 d0239b:= D(m0239b,x) --R --R --R (116) 0 --R Type: Expression(Integer) --E 206 --S 207 of 514 t0240:= x^2*log(a+b*x+c*x^2) --R --R --R 2 2 --R (117) x log(c x + b x + a) --R Type: Expression(Integer) --E 207 --S 208 of 514 r0240:= -1/3*(b^2-2*a*c)*x/c^2+1/6*b*x^2/c-2/9*x^3+_ 1/3*(b^4-a*c*(5*b^2-4*a*c))*atanh((b+2*c*x)/(b^2-4*a*c)^(1/2))/_ c^3/(b^2-4*a*c)^(1/2)+1/6*b*(b^2-3*a*c)*log(a+b*x+c*x^2)/c^3+_ 1/3*x^3*log(a+b*x+c*x^2) --R --R --R (118) --R 2 2 2 4 2c x + b --R (24a c - 30a b c + 6b )atanh(--------------) --R +-----------+ --R | 2 --R \|- 4a c + b --R + --R 3 3 3 2 3 3 2 2 --R (6c x - 9a b c + 3b )log(c x + b x + a) - 4c x + 3b c x --R + --R 2 2 --R (12a c - 6b c)x --R * --R +-----------+ --R | 2 --R \|- 4a c + b --R / --R +-----------+ --R 3 | 2 --R 18c \|- 4a c + b --R Type: Expression(Integer) --E 208 --S 209 of 514 a0240:= integrate(t0240,x) --R --R --R (119) --R [ --R +-----------+ --R 2 | 2 --R (3a c - 3b )\|- 4a c + b --R * --R +-----------+ --R | 2 2 2 2 --R (- 2c x - b)\|- 4a c + b + 2c x + 2b c x - 2a c + b --R log(-------------------------------------------------------) --R 2 --R c x + b x + a --R + --R 3 3 3 2 3 3 2 2 --R (6c x - 9a b c + 3b )log(c x + b x + a) - 4c x + 3b c x --R + --R 2 2 --R (12a c - 6b c)x --R / --R 3 --R 18c --R , --R --R +---------+ --R +---------+ | 2 --R 2 | 2 \|4a c - b --R (6a c - 6b )\|4a c - b atan(------------) --R 2c x + b --R + --R 3 3 3 2 3 3 2 2 --R (6c x - 9a b c + 3b )log(c x + b x + a) - 4c x + 3b c x --R + --R 2 2 --R (12a c - 6b c)x --R / --R 3 --R 18c --R ] --R Type: Union(List(Expression(Integer)),...) --E 209 --S 210 of 514 m0240a:= a0240.1-r0240 --R --R --R (120) --R 2 2 2 4 --R (- 4a c + 5a b c - b ) --R * --R +-----------+ --R | 2 2 2 2 --R (- 2c x - b)\|- 4a c + b + 2c x + 2b c x - 2a c + b --R log(-------------------------------------------------------) --R 2 --R c x + b x + a --R + --R 2 2 2 4 2c x + b --R (- 8a c + 10a b c - 2b )atanh(--------------) --R +-----------+ --R | 2 --R \|- 4a c + b --R / --R +-----------+ --R 3 | 2 --R 6c \|- 4a c + b --R Type: Expression(Integer) --E 210 --S 211 of 514 d0240a:= D(m0240a,x) --R --R --R (121) 0 --R Type: Expression(Integer) --E 211 --S 212 of 514 m0240b:= a0240.2-r0240 --R --R --R (122) --R 2 2 2 4 2c x + b --R (- 4a c + 5a b c - b )atanh(--------------) --R +-----------+ --R | 2 --R \|- 4a c + b --R + --R +---------+ --R +-----------+ +---------+ | 2 --R 2 | 2 | 2 \|4a c - b --R (a c - b )\|- 4a c + b \|4a c - b atan(------------) --R 2c x + b --R / --R +-----------+ --R 3 | 2 --R 3c \|- 4a c + b --R Type: Expression(Integer) --E 212 --S 213 of 514 d0240b:= D(m0240b,x) --R --R --R (123) 0 --R Type: Expression(Integer) --E 213 --S 214 of 514 t0241:= x^3*log(a+b*x+c*x^2) --R --R --R 3 2 --R (124) x log(c x + b x + a) --R Type: Expression(Integer) --E 214 --S 215 of 514 r0241:= 1/4*b*(b^2-3*a*c)*x/c^3-1/8*(b^2-2*a*c)*x^2/c^2+1/12*b*x^3/c-_ 1/8*x^4-1/4*b*(b^4-2*a*c*(3*b^2-4*a*c))*atanh((b+2*c*x)/_ (b^2-4*a*c)^(1/2))/c^4/(b^2-4*a*c)^(1/2)-_ 1/8*(b^4-4*b^2*a*c+2*a^2*c^2)*log(a+b*x+c*x^2)/c^4+_ 1/4*x^4*log(a+b*x+c*x^2) --R --R --R (125) --R 2 2 3 5 2c x + b --R (- 48a b c + 36a b c - 6b )atanh(--------------) --R +-----------+ --R | 2 --R \|- 4a c + b --R + --R 4 4 2 2 2 4 2 4 4 3 3 --R (6c x - 6a c + 12a b c - 3b )log(c x + b x + a) - 3c x + 2b c x --R + --R 3 2 2 2 2 3 --R (6a c - 3b c )x + (- 18a b c + 6b c)x --R * --R +-----------+ --R | 2 --R \|- 4a c + b --R / --R +-----------+ --R 4 | 2 --R 24c \|- 4a c + b --R Type: Expression(Integer) --E 215 --S 216 of 514 a0241:= integrate(t0241,x) --R --R --R (126) --R [ --R +-----------+ --R 3 | 2 --R (6a b c - 3b )\|- 4a c + b --R * --R +-----------+ --R | 2 2 2 2 --R (2c x + b)\|- 4a c + b + 2c x + 2b c x - 2a c + b --R log(-----------------------------------------------------) --R 2 --R c x + b x + a --R + --R 4 4 2 2 2 4 2 4 4 3 3 --R (6c x - 6a c + 12a b c - 3b )log(c x + b x + a) - 3c x + 2b c x --R + --R 3 2 2 2 2 3 --R (6a c - 3b c )x + (- 18a b c + 6b c)x --R / --R 4 --R 24c --R , --R --R +---------+ --R +---------+ | 2 --R 3 | 2 \|4a c - b --R (- 12a b c + 6b )\|4a c - b atan(------------) --R 2c x + b --R + --R 4 4 2 2 2 4 2 4 4 3 3 --R (6c x - 6a c + 12a b c - 3b )log(c x + b x + a) - 3c x + 2b c x --R + --R 3 2 2 2 2 3 --R (6a c - 3b c )x + (- 18a b c + 6b c)x --R / --R 4 --R 24c --R ] --R Type: Union(List(Expression(Integer)),...) --E 216 --S 217 of 514 m0241a:= a0241.1-r0241 --R --R --R (127) --R 2 2 3 5 --R (- 8a b c + 6a b c - b ) --R * --R +-----------+ --R | 2 2 2 2 --R (2c x + b)\|- 4a c + b + 2c x + 2b c x - 2a c + b --R log(-----------------------------------------------------) --R 2 --R c x + b x + a --R + --R 2 2 3 5 2c x + b --R (16a b c - 12a b c + 2b )atanh(--------------) --R +-----------+ --R | 2 --R \|- 4a c + b --R / --R +-----------+ --R 4 | 2 --R 8c \|- 4a c + b --R Type: Expression(Integer) --E 217 --S 218 of 514 d0241a:= D(m0241a,x) --R --R --R (128) 0 --R Type: Expression(Integer) --E 218 --S 219 of 514 m0241b:= a0241.2-r0241 --R --R --R (129) --R 2 2 3 5 2c x + b --R (8a b c - 6a b c + b )atanh(--------------) --R +-----------+ --R | 2 --R \|- 4a c + b --R + --R +---------+ --R +-----------+ +---------+ | 2 --R 3 | 2 | 2 \|4a c - b --R (- 2a b c + b )\|- 4a c + b \|4a c - b atan(------------) --R 2c x + b --R / --R +-----------+ --R 4 | 2 --R 4c \|- 4a c + b --R Type: Expression(Integer) --E 219 --S 220 of 514 d0241b:= D(m0241b,x) --R --R --R (130) 0 --R Type: Expression(Integer) --E 220 --S 221 of 514 t0242:= log(a+b*x+c*x^2)/x --R --R --R 2 --R log(c x + b x + a) --R (131) ------------------- --R x --R Type: Expression(Integer) --E 221 --S 222 of 514 r0242:= -log(x)*(log(1+2*c*x/(b-(b^2-4*a*c)^(1/2)))+_ log(1+2*c*x/(b+(b^2-4*a*c)^(1/2)))-log(a+b*x+c*x^2))-_ polylog(2,-2*c*x/(b-(b^2-4*a*c)^(1/2)))-_ polylog(2,-2*c*x/(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 222 --S 223 of 514 a0242:= integrate(t0242,x) --R --R --R x 2 --R ++ log(%I c + %I b + a) --R (132) | -------------------- d%I --R ++ %I --R Type: Union(Expression(Integer),...) --E 223 --S 224 of 514 --m0242:= a0242-r0242 --E 224 --S 225 of 514 --d0242:= D(m0242,x) --E 225 --S 226 of 514 t0243:= log(a+b*x+c*x^2)/x^2 --R --R --R 2 --R log(c x + b x + a) --R (133) ------------------- --R 2 --R x --R Type: Expression(Integer) --E 226 --S 227 of 514 r0243:= (b^2-4*a*c)^(1/2)*atanh((b+2*c*x)/(b^2-4*a*c)^(1/2))/a+_ b*log(x)/a-1/2*b*log(a+b*x+c*x^2)/a-log(a+b*x+c*x^2)/x --R --R --R (134) --R +-----------+ --R | 2 2c x + b 2 --R 2x\|- 4a c + b atanh(--------------) + (- b x - 2a)log(c x + b x + a) --R +-----------+ --R | 2 --R \|- 4a c + b --R + --R 2b x log(x) --R / --R 2a x --R Type: Expression(Integer) --E 227 --S 228 of 514 a0243:= integrate(t0243,x) --R --R --R (135) --R [ --R +-----------+ --R | 2 --R x\|- 4a c + b --R * --R +-----------+ --R | 2 2 2 2 --R (2c x + b)\|- 4a c + b + 2c x + 2b c x - 2a c + b --R log(-----------------------------------------------------) --R 2 --R c x + b x + a --R + --R 2 --R (- b x - 2a)log(c x + b x + a) + 2b x log(x) --R / --R 2a x --R , --R --R +---------+ --R +---------+ | 2 --R | 2 \|4a c - b 2 --R - 2x\|4a c - b atan(------------) + (- b x - 2a)log(c x + b x + a) --R 2c x + b --R + --R 2b x log(x) --R / --R 2a x --R ] --R Type: Union(List(Expression(Integer)),...) --E 228 --S 229 of 514 m0243a:= a0243.1-r0243 --R --R --R (136) --R +-----------+ --R +-----------+ | 2 2 2 2 --R | 2 (2c x + b)\|- 4a c + b + 2c x + 2b c x - 2a c + b --R \|- 4a c + b log(-----------------------------------------------------) --R 2 --R c x + b x + a --R + --R +-----------+ --R | 2 2c x + b --R - 2\|- 4a c + b atanh(--------------) --R +-----------+ --R | 2 --R \|- 4a c + b --R / --R 2a --R Type: Expression(Integer) --E 229 --S 230 of 514 d0243a:= D(m0243a,x) --R --R --R (137) 0 --R Type: Expression(Integer) --E 230 --S 231 of 514 m0243b:= a0243.2-r0243 --R --R --R (138) --R +---------+ --R +-----------+ +---------+ | 2 --R | 2 2c x + b | 2 \|4a c - b --R - \|- 4a c + b atanh(--------------) - \|4a c - b atan(------------) --R +-----------+ 2c x + b --R | 2 --R \|- 4a c + b --R ---------------------------------------------------------------------- --R a --R Type: Expression(Integer) --E 231 --S 232 of 514 d0243b:= D(m0243b,x) --R --R --R (139) 0 --R Type: Expression(Integer) --E 232 --S 233 of 514 t0244:= log(a+b*x+c*x^2)/x^3 --R --R --R 2 --R log(c x + b x + a) --R (140) ------------------- --R 3 --R x --R Type: Expression(Integer) --E 233 --S 234 of 514 r0244:= -1/2*b/a/x-1/2*b*(b^2-4*a*c)^(1/2)*atanh((b+2*c*x)/_ (b^2-4*a*c)^(1/2))/a^2-1/2*(b^2-2*a*c)*log(x)/a^2+_ 1/4*(b^2-2*a*c)*log(a+b*x+c*x^2)/a^2-1/2*log(a+b*x+c*x^2)/x^2 --R --R --R (141) --R +-----------+ --R 2 | 2 2c x + b --R - 2b x \|- 4a c + b atanh(--------------) --R +-----------+ --R | 2 --R \|- 4a c + b --R + --R 2 2 2 2 2 2 --R ((- 2a c + b )x - 2a )log(c x + b x + a) + (4a c - 2b )x log(x) - 2a b x --R / --R 2 2 --R 4a x --R Type: Expression(Integer) --E 234 --S 235 of 514 a0244:= integrate(t0244,x) --R --R --R (142) --R [ --R +-----------+ --R 2 | 2 --R b x \|- 4a c + b --R * --R +-----------+ --R | 2 2 2 2 --R (- 2c x - b)\|- 4a c + b + 2c x + 2b c x - 2a c + b --R log(-------------------------------------------------------) --R 2 --R c x + b x + a --R + --R 2 2 2 2 2 2 --R ((- 2a c + b )x - 2a )log(c x + b x + a) + (4a c - 2b )x log(x) --R + --R - 2a b x --R / --R 2 2 --R 4a x --R , --R --R +---------+ --R +---------+ | 2 --R 2 | 2 \|4a c - b --R 2b x \|4a c - b atan(------------) --R 2c x + b --R + --R 2 2 2 2 2 2 --R ((- 2a c + b )x - 2a )log(c x + b x + a) + (4a c - 2b )x log(x) --R + --R - 2a b x --R / --R 2 2 --R 4a x --R ] --R Type: Union(List(Expression(Integer)),...) --E 235 --S 236 of 514 m0244a:= a0244.1-r0244 --R --R --R (143) --R +-----------+ --R | 2 --R b\|- 4a c + b --R * --R +-----------+ --R | 2 2 2 2 --R (- 2c x - b)\|- 4a c + b + 2c x + 2b c x - 2a c + b --R log(-------------------------------------------------------) --R 2 --R c x + b x + a --R + --R +-----------+ --R | 2 2c x + b --R 2b\|- 4a c + b atanh(--------------) --R +-----------+ --R | 2 --R \|- 4a c + b --R / --R 2 --R 4a --R Type: Expression(Integer) --E 236 --S 237 of 514 d0244a:= D(m0244a,x) --R --R --R (144) 0 --R Type: Expression(Integer) --E 237 --S 238 of 514 m0244b:= a0244.2-r0244 --R --R --R (145) --R +---------+ --R +-----------+ +---------+ | 2 --R | 2 2c x + b | 2 \|4a c - b --R b\|- 4a c + b atanh(--------------) + b\|4a c - b atan(------------) --R +-----------+ 2c x + b --R | 2 --R \|- 4a c + b --R ---------------------------------------------------------------------- --R 2 --R 2a --R Type: Expression(Integer) --E 238 --S 239 of 514 d0244b:= D(m0244b,x) --R --R --R (146) 0 --R Type: Expression(Integer) --E 239 --S 240 of 514 t0245:= x*log(1+c*f^(a+b*x)) --R --R --R b x + a --R (147) x log(c f + 1) --R Type: Expression(Integer) --E 240 --S 241 of 514 r0245:= -1/b^2/log(f)^2*(x*polylog(2,-c*f^(a+b*x))*b*log(f)-_ polylog(3,-c*f^(a+b*x))) --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 241 --S 242 of 514 a0245:= integrate(t0245,x) --R --R --R x --R ++ %I b + a --R (148) | %I log(c f + 1)d%I --R ++ --R Type: Union(Expression(Integer),...) --E 242 --S 243 of 514 --m0245:= a0245-r0245 --E 243 --S 244 of 514 --d0245:= D(m0245,x) --E 244 --S 245 of 514 t0246:= x^2*log(1+c*f^(a+b*x)) --R --R --R 2 b x + a --R (149) x log(c f + 1) --R Type: Expression(Integer) --E 245 --S 246 of 514 r0246:= -1/b^3/log(f)^3*(x^2*polylog(2,-c*f^(a+b*x))*b^2*log(f)^2-_ 2*x*polylog(3,-c*f^(a+b*x))*b*log(f)+2*polylog(4,-c*f^(a+b*x))) --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 "$" to specify which version of the function you need. --E 246 --S 247 of 514 a0246:= integrate(t0246,x) --R --R --R x --R ++ 2 %I b + a --R (150) | %I log(c f + 1)d%I --R ++ --R Type: Union(Expression(Integer),...) --E 247 --S 248 of 514 --m0246:= a0246-r0246 --E 248 --S 249 of 514 --d0246:= D(m0246,x) --E 249 --S 250 of 514 t0247:= x*log(c+d*f^(a+b*x)) --R --R --R b x + a --R (151) x log(d f + c) --R Type: Expression(Integer) --E 250 --S 251 of 514 r0247:= 1/2*x^2*log(c+d*f^(a+b*x))-1/2*x^2*log(1+d*f^(a+b*x)/c)-_ x*polylog(2,-d*f^(a+b*x)/c)/b/log(f)+_ polylog(3,-d*f^(a+b*x)/c)/b^2/log(f)^2 --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 251 --S 252 of 514 a0247:= integrate(t0247,x) --R --R --R x --R ++ %I b + a --R (152) | %I log(d f + c)d%I --R ++ --R Type: Union(Expression(Integer),...) --E 252 --S 253 of 514 --m0247:= a0247-r0247 --E 253 --S 254 of 514 --d0247:= D(m0247,x) --E 254 --S 255 of 514 t0248:= x^2*log(c+d*f^(a+b*x)) --R --R --R 2 b x + a --R (153) x log(d f + c) --R Type: Expression(Integer) --E 255 --S 256 of 514 r0248:= 1/3*x^3*log(c+d*f^(a+b*x))-1/3*x^3*log(1+d*f^(a+b*x)/c)-_ x^2*polylog(2,-d*f^(a+b*x)/c)/b/log(f)+_ 2*x*polylog(3,-d*f^(a+b*x)/c)/b^2/log(f)^2-_ 2*polylog(4,-d*f^(a+b*x)/c)/b^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 256 --S 257 of 514 a0248:= integrate(t0248,x) --R --R --R x --R ++ 2 %I b + a --R (154) | %I log(d f + c)d%I --R ++ --R Type: Union(Expression(Integer),...) --E 257 --S 258 of 514 --m0248:= a0248-r0248 --E 258 --S 259 of 514 --d0248:= D(m0248,x) --E 259 --S 260 of 514 t0249:= exp(x)*log(a+b*exp(x)) --R --R --R x x --R (155) %e log(b %e + a) --R Type: Expression(Integer) --E 260 --S 261 of 514 r0249:= -exp(x)+(a+b*exp(x))*log(a+b*exp(x))/b --R --R --R x x x --R (b %e + a)log(b %e + a) - b %e --R (156) --------------------------------- --R b --R Type: Expression(Integer) --E 261 --S 262 of 514 a0249:= integrate(t0249,x) --R --R --R x x x --R (b %e + a)log(b %e + a) - b %e --R (157) --------------------------------- --R b --R Type: Union(Expression(Integer),...) --E 262 --S 263 of 514 m0249:= a0249-r0249 --R --R --R (158) 0 --R Type: Expression(Integer) --E 263 --S 264 of 514 d0249:= D(m0249,x) --R --R --R (159) 0 --R Type: Expression(Integer) --E 264 --S 265 of 514 t0250:= 1/x/log(exp(x)) --R --R --R 1 --R (160) -- --R 2 --R x --R Type: Expression(Integer) --E 265 --S 266 of 514 r0250:= (-log(x)+log(log(exp(x))))/(x-log(exp(x))) --R --R --R >> Error detected within library code: --R catdef: division by zero --R --R Continuing to read the file... --R --E 266 --S 267 of 514 a0250:= integrate(t0250,x) --R --R --R 1 --R (161) - - --R x --R Type: Union(Expression(Integer),...) --E 267 --S 268 of 514 --m0250:= a0250-r0250 --E 268 --S 269 of 514 --d0250:= D(m0250,x) --E 269 --S 270 of 514 t0251:= log(sin(x)^2) --R --R --R 2 --R (162) log(sin(x) ) --R Type: Expression(Integer) --E 270 --S 271 of 514 r0251:= %i*x^2-2*x*log(1-exp(2*%i*x))+x*log(sin(x)^2)+%i*polylog(2,exp(2*%i*x)) --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 271 --S 272 of 514 a0251:= integrate(t0251,x) --R --R --R x --R ++ 2 --R (163) | log(sin(%I) )d%I --R ++ --R Type: Union(Expression(Integer),...) --E 272 --S 273 of 514 --m0251:= a0251-r0251 --E 273 --S 274 of 514 --d0251:= D(m0251,x) --E 274 --S 275 of 514 t0252:= log(sin(x)^n) --R --R --R n --R (164) log(sin(x) ) --R Type: Expression(Integer) --E 275 --S 276 of 514 r0252:= 1/2*%i*n*x^2-n*x*log(1-exp(2*%i*x))+x*log(sin(x)^n)+_ 1/2*%i*n*polylog(2,exp(2*%i*x)) --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 Polynomial(Complex(Fraction(Integer))) --R Expression(Complex(Integer)) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 276 --S 277 of 514 a0252:= integrate(t0252,x) --R --R --R x --R ++ n --R (165) | log(sin(%I) )d%I --R ++ --R Type: Union(Expression(Integer),...) --E 277 --S 278 of 514 --m0252:= a0252-r0252 --E 278 --S 279 of 514 --d0252:= D(m0252,x) --E 279 --S 280 of 514 t0253:= log(cos(x)^2) --R --R --R 2 --R (166) log(cos(x) ) --R Type: Expression(Integer) --E 280 --S 281 of 514 r0253:= %i*x^2-2*x*log(1+exp(2*%i*x))+x*log(cos(x)^2)+_ %i*polylog(2,-exp(2*%i*x)) --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Complex(Integer)) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 281 --S 282 of 514 a0253:= integrate(t0253,x) --R --R --R x --R ++ 2 --R (167) | log(cos(%I) )d%I --R ++ --R Type: Union(Expression(Integer),...) --E 282 --S 283 of 514 --m0253:= a0253-r0253 --E 283 --S 284 of 514 --d0253:= D(m0253,x) --E 284 --S 285 of 514 t0254:= log(cos(x)^n) --R --R --R n --R (168) log(cos(x) ) --R Type: Expression(Integer) --E 285 --S 286 of 514 r0254:= 1/2*%i*n*x^2-n*x*log(1+exp(2*%i*x))+x*log(cos(x)^n)+_ 1/2*%i*n*polylog(2,-exp(2*%i*x)) --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 Polynomial(Complex(Fraction(Integer))) --R Expression(Complex(Integer)) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 286 --S 287 of 514 a0254:= integrate(t0254,x) --R --R --R x --R ++ n --R (169) | log(cos(%I) )d%I --R ++ --R Type: Union(Expression(Integer),...) --E 287 --S 288 of 514 --m0254:= a0254-r0254 --E 288 --S 289 of 514 --d0254:= D(m0254,x) --E 289 --S 290 of 514 t0255:= log(tan(x)^2) --R --R --R 2 --R (170) log(tan(x) ) --R Type: Expression(Integer) --E 290 --S 291 of 514 r0255:= 1/2*%i*log(1-%i*tan(x))*log(tan(x)^2)-1/2*%i*log(1+%i*tan(x))*_ log(tan(x)^2)-%i*polylog(2,-%i*tan(x))+%i*polylog(2,%i*tan(x)) --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Complex(Integer)) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 291 --S 292 of 514 a0255:= integrate(t0255,x) --R --R --R x --R ++ 2 --R (171) | log(tan(%I) )d%I --R ++ --R Type: Union(Expression(Integer),...) --E 292 --S 293 of 514 --m0255:= a0255-r0255 --E 293 --S 294 of 514 --d0255:= D(m0255,x) --E 294 --S 295 of 514 t0256:= log(tan(x)^n) --R --R --R n --R (172) log(tan(x) ) --R Type: Expression(Integer) --E 295 --S 296 of 514 r0256:= 1/2*%i*log(1-%i*tan(x))*log(tan(x)^n)-1/2*%i*log(1+%i*tan(x))*_ log(tan(x)^n)-1/2*%i*n*polylog(2,-%i*tan(x))+_ 1/2*%i*n*polylog(2,%i*tan(x)) --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 "$" to specify which version of the function you need. --E 296 --S 297 of 514 a0256:= integrate(t0256,x) --R --R --R x --R ++ n --R (173) | log(tan(%I) )d%I --R ++ --R Type: Union(Expression(Integer),...) --E 297 --S 298 of 514 --m0256:= a0256-r0256 --E 298 --S 299 of 514 --d0256:= D(m0256,x) --E 299 --S 300 of 514 t0257:= log(cot(x)^2) --R --R --R 2 --R (174) log(cot(x) ) --R Type: Expression(Integer) --E 300 --S 301 of 514 r0257:= -1/2*%i*log(1-%i*cot(x))*log(cot(x)^2)+1/2*%i*log(1+%i*cot(x))*_ log(cot(x)^2)+%i*polylog(2,-%i*cot(x))-%i*polylog(2,%i*cot(x)) --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Complex(Integer)) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 301 --S 302 of 514 a0257:= integrate(t0257,x) --R --R --R x --R ++ 2 --R (175) | log(cot(%I) )d%I --R ++ --R Type: Union(Expression(Integer),...) --E 302 --S 303 of 514 --m0257:= a0257-r0257 --E 303 --S 304 of 514 --d0257:= D(m0257,x) --E 304 --S 305 of 514 t0258:= log(cot(x)^n) --R --R --R n --R (176) log(cot(x) ) --R Type: Expression(Integer) --E 305 --S 306 of 514 r0258:= -1/2*%i*log(1-%i*cot(x))*log(cot(x)^n)+1/2*%i*log(1+%i*cot(x))*_ log(cot(x)^n)+1/2*%i*n*polylog(2,-%i*cot(x))-_ 1/2*%i*n*polylog(2,%i*cot(x)) --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 "$" to specify which version of the function you need. --E 306 --S 307 of 514 a0258:= integrate(t0258,x) --R --R --R x --R ++ n --R (177) | log(cot(%I) )d%I --R ++ --R Type: Union(Expression(Integer),...) --E 307 --S 308 of 514 --m0258:= a0258-r0258 --E 308 --S 309 of 514 --d0258:= D(m0258,x) --E 309 --S 310 of 514 t0259:= log(sec(x)) --R --R --R (178) log(sec(x)) --R Type: Expression(Integer) --E 310 --S 311 of 514 r0259:= -1/2*%i*x^2+x*log(1+exp(2*%i*x))+x*log(1/cos(x))-_ 1/2*%i*polylog(2,-exp(2*%i*x)) --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Complex(Integer)) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 311 --S 312 of 514 a0259:= integrate(t0259,x) --R --R --R x --R ++ --R (179) | log(sec(%I))d%I --R ++ --R Type: Union(Expression(Integer),...) --E 312 --S 313 of 514 --m0259:= a0259-r0259 --E 313 --S 314 of 514 --d0259:= D(m0259,x) --E 314 --S 315 of 514 t0260:= log(sec(x)^2) --R --R --R 2 --R (180) log(sec(x) ) --R Type: Expression(Integer) --E 315 --S 316 of 514 r0260:= -%i*x^2+2*x*log(1+exp(2*%i*x))+x*log(1/cos(x)^2)-_ %i*polylog(2,-exp(2*%i*x)) --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 "$" to specify which version of the function you need. --E 316 --S 317 of 514 a0260:= integrate(t0260,x) --R --R --R x --R ++ 2 --R (181) | log(sec(%I) )d%I --R ++ --R Type: Union(Expression(Integer),...) --E 317 --S 318 of 514 --m0260:= a0260-r0260 --E 318 --S 319 of 514 --d0260:= D(m0260,x) --E 319 --S 320 of 514 t0261:= log(sec(x)^n) --R --R --R n --R (182) log(sec(x) ) --R Type: Expression(Integer) --E 320 --S 321 of 514 r0261:= -1/2*%i*n*x^2+n*x*log(1+exp(2*%i*x))+x*log((1/cos(x))^n)-_ 1/2*%i*n*polylog(2,-exp(2*%i*x)) --R --R There are 15 exposed and 5 unexposed library operations named + --R having 2 argument(s) but none was determined to be applicable. --R Use HyperDoc Browse, or issue --R )display op + --R to learn more about the available operations. Perhaps --R package-calling the operation or using coercions on the arguments --R will allow you to apply the operation. --R --R Cannot find a definition or applicable library operation named + --R with argument type(s) --R Polynomial(Complex(Fraction(Integer))) --R Expression(Complex(Integer)) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 321 --S 322 of 514 a0261:= integrate(t0261,x) --R --R --R x --R ++ n --R (183) | log(sec(%I) )d%I --R ++ --R Type: Union(Expression(Integer),...) --E 322 --S 323 of 514 --m0261:= a0261-r0261 --E 323 --S 324 of 514 --d0261:= D(m0261,x) --E 324 --S 325 of 514 t0262:= log(csc(x)) --R --R --R (184) log(csc(x)) --R Type: Expression(Integer) --E 325 --S 326 of 514 r0262:= -1/2*%i*x^2+x*log(1-exp(2*%i*x))+x*log(1/sin(x))-_ 1/2*%i*polylog(2,exp(2*%i*x)) --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 "$" to specify which version of the function you need. --E 326 --S 327 of 514 a0262:= integrate(t0262,x) --R --R --R x --R ++ --R (185) | log(csc(%I))d%I --R ++ --R Type: Union(Expression(Integer),...) --E 327 --S 328 of 514 --m0262:= a0262-r0262 --E 328 --S 329 of 514 --d0262:= D(m0262,x) --E 329 --S 330 of 514 t0263:= log(csc(x)^2) --R --R --R 2 --R (186) log(csc(x) ) --R Type: Expression(Integer) --E 330 --S 331 of 514 r0263:= -%i*x^2+2*x*log(1-exp(2*%i*x))+x*log(1/sin(x)^2)-_ %i*polylog(2,exp(2*%i*x)) --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Complex(Integer)) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 331 --S 332 of 514 a0263:= integrate(t0263,x) --R --R --R x --R ++ 2 --R (187) | log(csc(%I) )d%I --R ++ --R Type: Union(Expression(Integer),...) --E 332 --S 333 of 514 --m0263:= a0263-r0263 --E 333 --S 334 of 514 --d0263:= D(m0263,x) --E 334 --S 335 of 514 t0264:= log(csc(x)^n) --R --R --R n --R (188) log(csc(x) ) --R Type: Expression(Integer) --E 335 --S 336 of 514 r0264:= -1/2*%i*n*x^2+n*x*log(1-exp(2*%i*x))+x*log((1/sin(x))^n)-_ 1/2*%i*n*polylog(2,exp(2*%i*x)) --R --R There are 15 exposed and 5 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 Polynomial(Complex(Fraction(Integer))) --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 336 --S 337 of 514 a0264:= integrate(t0264,x) --R --R --R x --R ++ n --R (189) | log(csc(%I) )d%I --R ++ --R Type: Union(Expression(Integer),...) --E 337 --S 338 of 514 --m0264:= a0264-r0264 --E 338 --S 339 of 514 --d0264:= D(m0264,x) --E 339 --S 340 of 514 t0265:= cos(x)*log(1/2-1/2*cos(2*x)) --R --R --R - cos(2x) + 1 --R (190) cos(x)log(-------------) --R 2 --R Type: Expression(Integer) --E 340 --S 341 of 514 r0265:= sin(x)*(-2+log(sin(x)^2)) --R --R --R 2 --R (191) sin(x)log(sin(x) ) - 2sin(x) --R Type: Expression(Integer) --E 341 --S 342 of 514 a0265:= integrate(t0265,x) --R --R --R 2 --R (192) sin(x)log(- cos(x) + 1) - 2sin(x) --R Type: Union(Expression(Integer),...) --E 342 --S 343 of 514 m0265:= a0265-r0265 --R --R --R 2 2 --R (193) - sin(x)log(sin(x) ) + sin(x)log(- cos(x) + 1) --R Type: Expression(Integer) --E 343 --S 344 of 514 d0265:= D(m0265,x) --R --R --R (194) --R 3 2 3 2 --R (- cos(x) + cos(x))log(sin(x) ) + (cos(x) - cos(x))log(- cos(x) + 1) --R + --R 2 3 --R - 2cos(x)sin(x) - 2cos(x) + 2cos(x) --R / --R 2 --R cos(x) - 1 --R Type: Expression(Integer) --E 344 --S 345 of 514 t0266:= cot(x)/log(exp(1)*sin(x)) --R --R --R cot(x) --R (195) -------------- --R log(%e sin(x)) --R Type: Expression(Integer) --E 345 --S 346 of 514 r0266:= log(1+log(sin(x))) --R --R --R (196) log(log(sin(x)) + 1) --R Type: Expression(Integer) --E 346 --S 347 of 514 a0266:= integrate(t0266,x) --R --R --R (197) log(log(%e sin(x))) --R Type: Union(Expression(Integer),...) --E 347 --S 348 of 514 m0266:= a0266-r0266 --R --R --R (198) log(log(%e sin(x))) - log(log(sin(x)) + 1) --R Type: Expression(Integer) --E 348 --S 349 of 514 d0266:= D(m0266,x) --R --R --R - cos(x)log(%e sin(x)) + cos(x)log(sin(x)) + cos(x) --R (199) --------------------------------------------------- --R (sin(x)log(sin(x)) + sin(x))log(%e sin(x)) --R Type: Expression(Integer) --E 349 --S 350 of 514 t0267:= cot(x)/log(exp(1)^sin(x)) --R --R --R cot(x) --R (200) ------ --R sin(x) --R Type: Expression(Integer) --E 350 --S 351 of 514 r0267:= (-log(log(exp(sin(x))))+log(sin(x)))/(log(exp(sin(x)))-sin(x)) --R --R --R >> Error detected within library code: --R catdef: division by zero --R --R Continuing to read the file... --R --E 351 --S 352 of 514 a0267:= integrate(t0267,x) --R --R --R 1 --R (201) - ------ --R sin(x) --R Type: Union(Expression(Integer),...) --E 352 --S 353 of 514 --m0267:= a0267-r0267 --E 353 --S 354 of 514 --d0267:= D(m0267,x) --E 354 --S 355 of 514 t0268:= log(cos(x))*sec(x)^2 --R --R --R 2 --R (202) sec(x) log(cos(x)) --R Type: Expression(Integer) --E 355 --S 356 of 514 r0268:= -x+tan(x)+log(cos(x))*tan(x) --R --R --R (203) tan(x)log(cos(x)) + tan(x) - x --R Type: Expression(Integer) --E 356 --S 357 of 514 a0268:= integrate(t0268,x) --R --R --R sin(x)log(cos(x)) + sin(x) - x cos(x) --R (204) ------------------------------------- --R cos(x) --R Type: Union(Expression(Integer),...) --E 357 --S 358 of 514 m0268:= a0268-r0268 --R --R --R (- cos(x)tan(x) + sin(x))log(cos(x)) - cos(x)tan(x) + sin(x) --R (205) ------------------------------------------------------------ --R cos(x) --R Type: Expression(Integer) --E 358 --S 359 of 514 d0268:= D(m0268,x) --R --R --R (206) --R 2 2 2 2 2 --R (- cos(x) tan(x) + sin(x) )log(cos(x)) - cos(x) tan(x) + cos(x)sin(x)tan(x) --R ----------------------------------------------------------------------------- --R 2 --R cos(x) --R Type: Expression(Integer) --E 359 --S 360 of 514 t0269:= cot(x)*log(sin(x)) --R --R --R (207) cot(x)log(sin(x)) --R Type: Expression(Integer) --E 360 --S 361 of 514 r0269:= 1/2*log(sin(x))^2 --R --R --R 2 --R log(sin(x)) --R (208) ------------ --R 2 --R Type: Expression(Integer) --E 361 --S 362 of 514 a0269:= integrate(t0269,x) --R --R --R 2 --R log(sin(x)) --R (209) ------------ --R 2 --R Type: Union(Expression(Integer),...) --E 362 --S 363 of 514 m0269:= a0269-r0269 --R --R --R (210) 0 --R Type: Expression(Integer) --E 363 --S 364 of 514 d0269:= D(m0269,x) --R --R --R (211) 0 --R Type: Expression(Integer) --E 364 --S 365 of 514 t0270:= tan(x)/log(cos(x)) --R --R --R tan(x) --R (212) ----------- --R log(cos(x)) --R Type: Expression(Integer) --E 365 --S 366 of 514 r0270:= -log(log(cos(x))) --R --R --R (213) - log(log(cos(x))) --R Type: Expression(Integer) --E 366 --S 367 of 514 a0270:= integrate(t0270,x) --R --R --R (214) - log(log(cos(x))) --R Type: Union(Expression(Integer),...) --E 367 --S 368 of 514 m0270:= a0270-r0270 --R --R --R (215) 0 --R Type: Expression(Integer) --E 368 --S 369 of 514 d0270:= D(m0270,x) --R --R --R (216) 0 --R Type: Expression(Integer) --E 369 --S 370 of 514 t0271:= csc(x)*log(tan(x))*sec(x) --R --R --R (217) csc(x)sec(x)log(tan(x)) --R Type: Expression(Integer) --E 370 --S 371 of 514 r0271:= 1/2*log(tan(x))^2 --R --R --R 2 --R log(tan(x)) --R (218) ------------ --R 2 --R Type: Expression(Integer) --E 371 --S 372 of 514 a0271:= integrate(t0271,x) --R --R --R sin(x) 2 --R log(------) --R cos(x) --R (219) ------------ --R 2 --R Type: Union(Expression(Integer),...) --E 372 --S 373 of 514 m0271:= a0271-r0271 --R --R --R 2 sin(x) 2 --R - log(tan(x)) + log(------) --R cos(x) --R (220) ----------------------------- --R 2 --R Type: Expression(Integer) --E 373 --S 374 of 514 d0271:= D(m0271,x) --R --R --R (221) --R 2 --R (- cos(x)sin(x)tan(x) - cos(x)sin(x))log(tan(x)) --R + --R 2 2 sin(x) --R (sin(x) + cos(x) )tan(x)log(------) --R cos(x) --R / --R cos(x)sin(x)tan(x) --R Type: Expression(Integer) --E 374 --S 375 of 514 t0272:= csc(2*x)*log(tan(x)) --R --R --R (222) csc(2x)log(tan(x)) --R Type: Expression(Integer) --E 375 --S 376 of 514 r0272:= 1/4*log(tan(x))^2 --R --R --R 2 --R log(tan(x)) --R (223) ------------ --R 4 --R Type: Expression(Integer) --E 376 --S 377 of 514 a0272:= integrate(t0272,x) --R --R --R sin(x) 2 --R log(------) --R cos(x) --R (224) ------------ --R 4 --R Type: Union(Expression(Integer),...) --E 377 --S 378 of 514 m0272:= a0272-r0272 --R --R --R 2 sin(x) 2 --R - log(tan(x)) + log(------) --R cos(x) --R (225) ----------------------------- --R 4 --R Type: Expression(Integer) --E 378 --S 379 of 514 d0272:= D(m0272,x) --R --R --R (226) --R 2 --R (- cos(x)sin(x)tan(x) - cos(x)sin(x))log(tan(x)) --R + --R 2 2 sin(x) --R (sin(x) + cos(x) )tan(x)log(------) --R cos(x) --R / --R 2cos(x)sin(x)tan(x) --R Type: Expression(Integer) --E 379 --S 380 of 514 t0273:= log(sinh(x)) --R --R --R (227) log(sinh(x)) --R Type: Expression(Integer) --E 380 --S 381 of 514 r0273:= 1/2*x^2-x*log(1-exp(2*x))+x*log(sinh(x))-1/2*polylog(2,exp(2*x)) --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 381 --S 382 of 514 a0273:= integrate(t0273,x) --R --R --R x --R ++ --R (228) | log(sinh(%I))d%I --R ++ --R Type: Union(Expression(Integer),...) --E 382 --S 383 of 514 --m0273:= a0273-r0273 --E 383 --S 384 of 514 --d0273:= D(m0273,x) --E 384 --S 385 of 514 t0274:= log(sinh(x)^2) --R --R --R 2 --R (229) log(sinh(x) ) --R Type: Expression(Integer) --E 385 --S 386 of 514 r0274:= x^2-2*x*log(1-exp(2*x))+x*log(sinh(x)^2)-polylog(2,exp(2*x)) --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 "$" to specify which version of the function you need. --E 386 --S 387 of 514 a0274:= integrate(t0274,x) --R --R --R x --R ++ 2 --R (230) | log(sinh(%I) )d%I --R ++ --R Type: Union(Expression(Integer),...) --E 387 --S 388 of 514 --m0274:= a0274-r0274 --E 388 --S 389 of 514 --d0274:= D(m0274,x) --E 389 --S 390 of 514 t0275:= log(sinh(x)^n) --R --R --R n --R (231) log(sinh(x) ) --R Type: Expression(Integer) --E 390 --S 391 of 514 r0275:= 1/2*n*x^2-n*x*log(1-exp(2*x))+x*log(sinh(x)^n)-_ 1/2*n*polylog(2,exp(2*x)) --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 391 --S 392 of 514 a0275:= integrate(t0275,x) --R --R --R x --R ++ n --R (232) | log(sinh(%I) )d%I --R ++ --R Type: Union(Expression(Integer),...) --E 392 --S 393 of 514 --m0275:= a0275-r0275 --E 393 --S 394 of 514 --d0275:= D(m0275,x) --E 394 --S 395 of 514 t0276:= log(cosh(x)) --R --R --R (233) log(cosh(x)) --R Type: Expression(Integer) --E 395 --S 396 of 514 r0276:= 1/2*x^2-x*log(1+exp(2*x))+x*log(cosh(x))-1/2*polylog(2,-exp(2*x)) --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 "$" to specify which version of the function you need. --E 396 --S 397 of 514 a0276:= integrate(t0276,x) --R --R --R x --R ++ --R (234) | log(cosh(%I))d%I --R ++ --R Type: Union(Expression(Integer),...) --E 397 --S 398 of 514 --m0276:= a0276-r0276 --E 398 --S 399 of 514 --d0276:= D(m0276,x) --E 399 --S 400 of 514 t0277:= log(cosh(x)^2) --R --R --R 2 --R (235) log(cosh(x) ) --R Type: Expression(Integer) --E 400 --S 401 of 514 r0277:= x^2-2*x*log(1+exp(2*x))+x*log(cosh(x)^2)-polylog(2,-exp(2*x)) --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 401 --S 402 of 514 a0277:= integrate(t0277,x) --R --R --R x --R ++ 2 --R (236) | log(cosh(%I) )d%I --R ++ --R Type: Union(Expression(Integer),...) --E 402 --S 403 of 514 --m0277:= a0277-r0277 --E 403 --S 404 of 514 --d0277:= D(m0277,x) --E 404 --S 405 of 514 t0278:= log(cosh(x)^n) --R --R --R n --R (237) log(cosh(x) ) --R Type: Expression(Integer) --E 405 --S 406 of 514 r0278:= 1/2*n*x^2-n*x*log(1+exp(2*x))+x*log(cosh(x)^n)-_ 1/2*n*polylog(2,-exp(2*x)) --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 "$" to specify which version of the function you need. --E 406 --S 407 of 514 a0278:= integrate(t0278,x) --R --R --R x --R ++ n --R (238) | log(cosh(%I) )d%I --R ++ --R Type: Union(Expression(Integer),...) --E 407 --S 408 of 514 --m0278:= a0278-r0278 --E 408 --S 409 of 514 --d0278:= D(m0278,x) --E 409 --S 410 of 514 t0279:= log(tanh(x)^n) --R --R --R n --R (239) log(tanh(x) ) --R Type: Expression(Integer) --E 410 --S 411 of 514 r0279:= -1/2*log(1-tanh(x))*log(tanh(x)^n)+1/2*log(tanh(x)^n)*_ log(1+tanh(x))+1/2*n*polylog(2,-tanh(x))-1/2*n*polylog(2,tanh(x)) --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 411 --S 412 of 514 a0279:= integrate(t0279,x) --R --R --R x --R ++ n --R (240) | log(tanh(%I) )d%I --R ++ --R Type: Union(Expression(Integer),...) --E 412 --S 413 of 514 --m0279:= a0279-r0279 --E 413 --S 414 of 514 --d0279:= D(m0279,x) --E 414 --S 415 of 514 t0280:= log(coth(x)^n) --R --R --R n --R (241) log(coth(x) ) --R Type: Expression(Integer) --E 415 --S 416 of 514 r0280:= -1/2*log(1-coth(x))*log(coth(x)^n)+1/2*log(coth(x)^n)*_ log(1+coth(x))+1/2*n*polylog(2,-coth(x))-1/2*n*polylog(2,coth(x)) --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 "$" to specify which version of the function you need. --E 416 --S 417 of 514 a0280:= integrate(t0280,x) --R --R --R x --R ++ n --R (242) | log(coth(%I) )d%I --R ++ --R Type: Union(Expression(Integer),...) --E 417 --S 418 of 514 --m0280:= a0280-r0280 --E 418 --S 419 of 514 --d0280:= D(m0280,x) --E 419 --S 420 of 514 t0281:= log(sech(x)) --R --R --R (243) log(sech(x)) --R Type: Expression(Integer) --E 420 --S 421 of 514 r0281:= -1/2*x^2+x*log(1+exp(2*x))+x*log(1/cosh(x))+1/2*polylog(2,-exp(2*x)) --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 421 --S 422 of 514 a0281:= integrate(t0281,x) --R --R --R x --R ++ --R (244) | log(sech(%I))d%I --R ++ --R Type: Union(Expression(Integer),...) --E 422 --S 423 of 514 --m0281:= a0281-r0281 --E 423 --S 424 of 514 --d0281:= D(m0281,x) --E 424 --S 425 of 514 t0282:= log(sech(x)^2) --R --R --R 2 --R (245) log(sech(x) ) --R Type: Expression(Integer) --E 425 --S 426 of 514 r0282:= -x^2+2*x*log(1+exp(2*x))+x*log(1/cosh(x)^2)+polylog(2,-exp(2*x)) --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 "$" to specify which version of the function you need. --E 426 --S 427 of 514 a0282:= integrate(t0282,x) --R --R --R x --R ++ 2 --R (246) | log(sech(%I) )d%I --R ++ --R Type: Union(Expression(Integer),...) --E 427 --S 428 of 514 --m0282:= a0282-r0282 --E 428 --S 429 of 514 --d0282:= D(m0282,x) --E 429 --S 430 of 514 t0283:= log(sech(x)^n) --R --R --R n --R (247) log(sech(x) ) --R Type: Expression(Integer) --E 430 --S 431 of 514 r0283:= -1/2*n*x^2+n*x*log(1+exp(2*x))+x*log((1/cosh(x))^n)+_ 1/2*n*polylog(2,-exp(2*x)) --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 431 --S 432 of 514 a0283:= integrate(t0283,x) --R --R --R x --R ++ n --R (248) | log(sech(%I) )d%I --R ++ --R Type: Union(Expression(Integer),...) --E 432 --S 433 of 514 --m0283:= a0283-r0283 --E 433 --S 434 of 514 --d0283:= D(m0283,x) --E 434 --S 435 of 514 t0284:= log(csch(x)) --R --R --R (249) log(csch(x)) --R Type: Expression(Integer) --E 435 --S 436 of 514 r0284:= -1/2*x^2+x*log(1-exp(2*x))+x*log(1/sinh(x))+1/2*polylog(2,exp(2*x)) --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 "$" to specify which version of the function you need. --E 436 --S 437 of 514 a0284:= integrate(t0284,x) --R --R --R x --R ++ --R (250) | log(csch(%I))d%I --R ++ --R Type: Union(Expression(Integer),...) --E 437 --S 438 of 514 --m0284:= a0284-r0284 --E 438 --S 439 of 514 --d0284:= D(m0284,x) --E 439 --S 440 of 514 t0285:= log(csch(x)^2) --R --R --R 2 --R (251) log(csch(x) ) --R Type: Expression(Integer) --E 440 --S 441 of 514 r0285:= -x^2+2*x*log(1-exp(2*x))+x*log(1/sinh(x)^2)+polylog(2,exp(2*x)) --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 441 --S 442 of 514 a0285:= integrate(t0285,x) --R --R --R x --R ++ 2 --R (252) | log(csch(%I) )d%I --R ++ --R Type: Union(Expression(Integer),...) --E 442 --S 443 of 514 --m0285:= a0285-r0285 --E 443 --S 444 of 514 --d0285:= D(m0285,x) --E 444 --S 445 of 514 t0286:= log(csch(x)^n) --R --R --R n --R (253) log(csch(x) ) --R Type: Expression(Integer) --E 445 --S 446 of 514 r0286:= -1/2*n*x^2+n*x*log(1-exp(2*x))+x*log((1/sinh(x))^n)+_ 1/2*n*polylog(2,exp(2*x)) --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 446 --S 447 of 514 a0286:= integrate(t0286,x) --R --R --R x --R ++ n --R (254) | log(csch(%I) )d%I --R ++ --R Type: Union(Expression(Integer),...) --E 447 --S 448 of 514 --m0286:= a0286-r0286 --E 448 --S 449 of 514 --d0286:= D(m0286,x) --E 449 --S 450 of 514 t0287:= sec(a+b*log(c*x^n))/x --R --R --R n --R sec(b log(c x ) + a) --R (255) -------------------- --R x --R Type: Expression(Integer) --E 450 --S 451 of 514 r0287:= atanh(sin(a+b*log(c*x^n)))/b/n --R --R --R n --R atanh(sin(b log(c x ) + a)) --R (256) --------------------------- --R b n --R Type: Expression(Integer) --E 451 --S 452 of 514 a0287:= integrate(t0287,x) --R --R --R (257) --R log(sin(b n log(x) + b log(c) + a) + 1) --R + --R - log(sin(b n log(x) + b log(c) + a) - 1) --R / --R 2b n --R Type: Union(Expression(Integer),...) --E 452 --S 453 of 514 m0287:= a0287-r0287 --R --R --R (258) --R n --R - 2atanh(sin(b log(c x ) + a)) + log(sin(b n log(x) + b log(c) + a) + 1) --R + --R - log(sin(b n log(x) + b log(c) + a) - 1) --R / --R 2b n --R Type: Expression(Integer) --E 453 --S 454 of 514 d0287:= D(m0287,x) --R --R --R (259) --R n n 2 --R - x cos(b n log(x) + b log(c) + a)sin(b log(c x ) + a) --R + --R n - 1 2 n - 1 n --R (x x sin(b n log(x) + b log(c) + a) - x x )cos(b log(c x ) + a) --R + --R n --R x cos(b n log(x) + b log(c) + a) --R / --R n 2 n n 2 --R (x x sin(b n log(x) + b log(c) + a) - x x )sin(b log(c x ) + a) --R + --R n 2 n --R - x x sin(b n log(x) + b log(c) + a) + x x --R Type: Expression(Integer) --E 454 --S 455 of 514 t0288:= csc(a+b*log(c*x^n))/x --R --R --R n --R csc(b log(c x ) + a) --R (260) -------------------- --R x --R Type: Expression(Integer) --E 455 --S 456 of 514 r0288:= -atanh(cos(a+b*log(c*x^n)))/b/n --R --R --R n --R atanh(cos(b log(c x ) + a)) --R (261) - --------------------------- --R b n --R Type: Expression(Integer) --E 456 --S 457 of 514 a0288:= integrate(t0288,x) --R --R --R (262) --R - log(cos(b n log(x) + b log(c) + a) + 1) --R + --R log(cos(b n log(x) + b log(c) + a) - 1) --R / --R 2b n --R Type: Union(Expression(Integer),...) --E 457 --S 458 of 514 m0288:= a0288-r0288 --R --R --R (263) --R n --R 2atanh(cos(b log(c x ) + a)) - log(cos(b n log(x) + b log(c) + a) + 1) --R + --R log(cos(b n log(x) + b log(c) + a) - 1) --R / --R 2b n --R Type: Expression(Integer) --E 458 --S 459 of 514 d0288:= D(m0288,x) --R --R --R (264) --R n - 1 2 n - 1 n --R (x x cos(b n log(x) + b log(c) + a) - x x )sin(b log(c x ) + a) --R + --R n n 2 --R - x sin(b n log(x) + b log(c) + a)cos(b log(c x ) + a) --R + --R n --R x sin(b n log(x) + b log(c) + a) --R / --R n 2 n n 2 --R (x x cos(b n log(x) + b log(c) + a) - x x )cos(b log(c x ) + a) --R + --R n 2 n --R - x x cos(b n log(x) + b log(c) + a) + x x --R Type: Expression(Integer) --E 459 --S 460 of 514 t0289:= sin(a+b*log(c*x^n))^(1/2)/x --R --R --R +--------------------+ --R | n --R \|sin(b log(c x ) + a) --R (265) ----------------------- --R x --R Type: Expression(Integer) --E 460 --S 461 of 514 r0289:= 2*EllipticE(1/2*a-1/4*%pi+1/2*b*log(c*x^n),2)/b/n --R --R There are no library operations named EllipticE --R Use HyperDoc Browse or issue --R )what op EllipticE --R to learn if there is any operation containing " EllipticE " in --R its name. --R --R Cannot find a definition or applicable library operation named --R EllipticE with argument type(s) --R Expression(Integer) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 461 --S 462 of 514 a0289:= integrate(t0289,x) --R --R --R +---------------------+ --R x | n --R ++ \|sin(b log(c %I ) + a) --R (266) | ------------------------ d%I --R ++ %I --R Type: Union(Expression(Integer),...) --E 462 --S 463 of 514 --m0289:= a0289-r0289 --E 463 --S 464 of 514 --d0289:= D(m0289,x) --E 464 --S 465 of 514 t0290:= sin(a+b*log(c*x^n))^(3/2)/x --R --R --R +--------------------+ --R n | n --R sin(b log(c x ) + a)\|sin(b log(c x ) + a) --R (267) ------------------------------------------- --R x --R Type: Expression(Integer) --E 465 --S 466 of 514 r0290:= 2/3/b/n*(EllipticF(1/2*a-1/4*%pi+1/2*b*log(c*x^n),2)-_ cos(a+b*log(c*x^n))*sin(a+b*log(c*x^n))^(1/2)) --R --R There are no library operations named EllipticF --R Use HyperDoc Browse or issue --R )what op EllipticF --R to learn if there is any operation containing " EllipticF " in --R its name. --R --R Cannot find a definition or applicable library operation named --R EllipticF with argument type(s) --R Expression(Integer) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 466 --S 467 of 514 a0290:= integrate(t0290,x) --R --R --R +---------------------+ --R x n | n --R ++ sin(b log(c %I ) + a)\|sin(b log(c %I ) + a) --R (268) | --------------------------------------------- d%I --R ++ %I --R Type: Union(Expression(Integer),...) --E 467 --S 468 of 514 --m0290:= a0290-r0290 --E 468 --S 469 of 514 --d0290:= D(m0290,x) --E 469 --S 470 of 514 t0291:= sin(a+b*log(c*x^n))^(5/2)/x --R --R --R +--------------------+ --R n 2 | n --R sin(b log(c x ) + a) \|sin(b log(c x ) + a) --R (269) -------------------------------------------- --R x --R Type: Expression(Integer) --E 470 --S 471 of 514 r0291:= -2/5/b/n*(-3*EllipticE(1/2*a-1/4*%pi+1/2*b*log(c*x^n),2)+_ cos(a+b*log(c*x^n))*sin(a+b*log(c*x^n))^(3/2)) --R --R There are no library operations named EllipticE --R Use HyperDoc Browse or issue --R )what op EllipticE --R to learn if there is any operation containing " EllipticE " in --R its name. --R --R Cannot find a definition or applicable library operation named --R EllipticE with argument type(s) --R Expression(Integer) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 471 --S 472 of 514 a0291:= integrate(t0291,x) --R --R --R +---------------------+ --R x n 2 | n --R ++ sin(b log(c %I ) + a) \|sin(b log(c %I ) + a) --R (270) | ---------------------------------------------- d%I --R ++ %I --R Type: Union(Expression(Integer),...) --E 472 --S 473 of 514 --m0291:= a0291-r0291 --E 473 --S 474 of 514 --d0291:= D(m0291,x) --E 474 --S 475 of 514 t0292:= 1/x/sin(a+b*log(c*x^n))^(1/2) --R --R --R 1 --R (271) ------------------------ --R +--------------------+ --R | n --R x\|sin(b log(c x ) + a) --R Type: Expression(Integer) --E 475 --S 476 of 514 r0292:= 2*EllipticF(1/2*a-1/4*%pi+1/2*b*log(c*x^n),2)/b/n --R --R There are no library operations named EllipticF --R Use HyperDoc Browse or issue --R )what op EllipticF --R to learn if there is any operation containing " EllipticF " in --R its name. --R --R Cannot find a definition or applicable library operation named --R EllipticF with argument type(s) --R Expression(Integer) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 476 --S 477 of 514 a0292:= integrate(t0292,x) --R --R --R x --R ++ 1 --R (272) | -------------------------- d%I --R ++ +---------------------+ --R | n --R %I\|sin(b log(c %I ) + a) --R Type: Union(Expression(Integer),...) --E 477 --S 478 of 514 --m0292:= a0292-r0292 --E 478 --S 479 of 514 --d0292:= D(m0292,x) --E 479 --S 480 of 514 t0293:= 1/x/sin(a+b*log(c*x^n))^(3/2) --R --R --R 1 --R (273) --------------------------------------------- --R +--------------------+ --R n | n --R x sin(b log(c x ) + a)\|sin(b log(c x ) + a) --R Type: Expression(Integer) --E 480 --S 481 of 514 r0293:= -2*EllipticE(1/2*a-1/4*%pi+1/2*b*log(c*x^n),2)/b/n-_ 2*cos(a+b*log(c*x^n))/b/n/sin(a+b*log(c*x^n))^(1/2) --R --R There are no library operations named EllipticE --R Use HyperDoc Browse or issue --R )what op EllipticE --R to learn if there is any operation containing " EllipticE " in --R its name. --R --R Cannot find a definition or applicable library operation named --R EllipticE with argument type(s) --R Expression(Integer) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 481 --S 482 of 514 a0293:= integrate(t0293,x) --R --R --R x --R ++ 1 --R (274) | ------------------------------------------------ d%I --R ++ +---------------------+ --R n | n --R %I sin(b log(c %I ) + a)\|sin(b log(c %I ) + a) --R Type: Union(Expression(Integer),...) --E 482 --S 483 of 514 --m0293:= a0293-r0293 --E 483 --S 484 of 514 --d0293:= D(m0293,x) --E 484 --S 485 of 514 t0294:= 1/x/sin(a+b*log(c*x^n))^(5/2) --R --R --R 1 --R (275) ---------------------------------------------- --R +--------------------+ --R n 2 | n --R x sin(b log(c x ) + a) \|sin(b log(c x ) + a) --R Type: Expression(Integer) --E 485 --S 486 of 514 r0294:= 2/3*EllipticF(1/2*a-1/4*%pi+1/2*b*log(c*x^n),2)/b/n-_ 2/3*cos(a+b*log(c*x^n))/b/n/sin(a+b*log(c*x^n))^(3/2) --R --R There are no library operations named EllipticF --R Use HyperDoc Browse or issue --R )what op EllipticF --R to learn if there is any operation containing " EllipticF " in --R its name. --R --R Cannot find a definition or applicable library operation named --R EllipticF with argument type(s) --R Expression(Integer) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 486 --S 487 of 514 a0294:= integrate(t0294,x) --R --R --R x --R ++ 1 --R (276) | ------------------------------------------------- d%I --R ++ +---------------------+ --R n 2 | n --R %I sin(b log(c %I ) + a) \|sin(b log(c %I ) + a) --R Type: Union(Expression(Integer),...) --E 487 --S 488 of 514 --m0294:= a0294-r0294 --E 488 --S 489 of 514 --d0294:= D(m0294,x) --E 489 --S 490 of 514 t0295:= cos(a+b*log(c*x^n))^(1/2)/x --R --R --R +--------------------+ --R | n --R \|cos(b log(c x ) + a) --R (277) ----------------------- --R x --R Type: Expression(Integer) --E 490 --S 491 of 514 r0295:= 2*EllipticE(1/2*a+1/2*b*log(c*x^n),2)/b/n --R --R There are no library operations named EllipticE --R Use HyperDoc Browse or issue --R )what op EllipticE --R to learn if there is any operation containing " EllipticE " in --R its name. --R --R Cannot find a definition or applicable library operation named --R EllipticE with argument type(s) --R Expression(Integer) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 491 --S 492 of 514 a0295:= integrate(t0295,x) --R --R --R +---------------------+ --R x | n --R ++ \|cos(b log(c %I ) + a) --R (278) | ------------------------ d%I --R ++ %I --R Type: Union(Expression(Integer),...) --E 492 --S 493 of 514 --m0295:= a0295-r0295 --E 493 --S 494 of 514 --d0295:= D(m0295,x) --E 494 --S 495 of 514 t0296:= cos(a+b*log(c*x^n))^(3/2)/x --R --R --R +--------------------+ --R n | n --R cos(b log(c x ) + a)\|cos(b log(c x ) + a) --R (279) ------------------------------------------- --R x --R Type: Expression(Integer) --E 495 --S 496 of 514 r0296:= 2/3/b/n*(EllipticF(1/2*a+1/2*b*log(c*x^n),2)+_ cos(a+b*log(c*x^n))^(1/2)*sin(a+b*log(c*x^n))) --R --R There are no library operations named EllipticF --R Use HyperDoc Browse or issue --R )what op EllipticF --R to learn if there is any operation containing " EllipticF " in --R its name. --R --R Cannot find a definition or applicable library operation named --R EllipticF with argument type(s) --R Expression(Integer) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 496 --S 497 of 514 a0296:= integrate(t0296,x) --R --R --R +---------------------+ --R x n | n --R ++ cos(b log(c %I ) + a)\|cos(b log(c %I ) + a) --R (280) | --------------------------------------------- d%I --R ++ %I --R Type: Union(Expression(Integer),...) --E 497 --S 498 of 514 --m0296:= a0296-r0296 --E 498 --S 499 of 514 --d0296:= D(m0296,x) --E 499 --S 500 of 514 t0297:= cos(a+b*log(c*x^n))^(5/2)/x --R --R --R +--------------------+ --R n 2 | n --R cos(b log(c x ) + a) \|cos(b log(c x ) + a) --R (281) -------------------------------------------- --R x --R Type: Expression(Integer) --E 500 --S 501 of 514 r0297:= 2/5/b/n*(3*EllipticE(1/2*a+1/2*b*log(c*x^n),2)+_ cos(a+b*log(c*x^n))^(3/2)*sin(a+b*log(c*x^n))) --R --R There are no library operations named EllipticE --R Use HyperDoc Browse or issue --R )what op EllipticE --R to learn if there is any operation containing " EllipticE " in --R its name. --R --R Cannot find a definition or applicable library operation named --R EllipticE with argument type(s) --R Expression(Integer) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 501 --S 502 of 514 a0297:= integrate(t0297,x) --R --R --R +---------------------+ --R x n 2 | n --R ++ cos(b log(c %I ) + a) \|cos(b log(c %I ) + a) --R (282) | ---------------------------------------------- d%I --R ++ %I --R Type: Union(Expression(Integer),...) --E 502 --S 503 of 514 --m0297:= a0297-r0297 --E 503 --S 504 of 514 --d0297:= D(m0297,x) --E 504 --S 505 of 514 t0298:= 1/x/cos(a+b*log(c*x^n))^(1/2) --R --R --R 1 --R (283) ------------------------ --R +--------------------+ --R | n --R x\|cos(b log(c x ) + a) --R Type: Expression(Integer) --E 505 --S 506 of 514 r0298:= 2*EllipticF(1/2*a+1/2*b*log(c*x^n),2)/b/n --R --R There are no library operations named EllipticF --R Use HyperDoc Browse or issue --R )what op EllipticF --R to learn if there is any operation containing " EllipticF " in --R its name. --R --R Cannot find a definition or applicable library operation named --R EllipticF with argument type(s) --R Expression(Integer) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 506 --S 507 of 514 a0298:= integrate(t0298,x) --R --R --R x --R ++ 1 --R (284) | -------------------------- d%I --R ++ +---------------------+ --R | n --R %I\|cos(b log(c %I ) + a) --R Type: Union(Expression(Integer),...) --E 507 --S 508 of 514 --m0298:= a0298-r0298 --E 508 --S 509 of 514 --d0298:= D(m0298,x) --E 509 --S 510 of 514 t0299:= 1/x/cos(a+b*log(c*x^n))^(3/2) --R --R --R 1 --R (285) --------------------------------------------- --R +--------------------+ --R n | n --R x cos(b log(c x ) + a)\|cos(b log(c x ) + a) --R Type: Expression(Integer) --E 510 --S 511 of 514 r0299:= -2*EllipticE(1/2*a+1/2*b*log(c*x^n),2)/b/n+_ 2*sin(a+b*log(c*x^n))/b/n/cos(a+b*log(c*x^n))^(1/2) --R --R There are no library operations named EllipticE --R Use HyperDoc Browse or issue --R )what op EllipticE --R to learn if there is any operation containing " EllipticE " in --R its name. --R --R Cannot find a definition or applicable library operation named --R EllipticE with argument type(s) --R Expression(Integer) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 511 --S 512 of 514 a0299:= integrate(t0299,x) --R --R --R x --R ++ 1 --R (286) | ------------------------------------------------ d%I --R ++ +---------------------+ --R n | n --R %I cos(b log(c %I ) + a)\|cos(b log(c %I ) + a) --R Type: Union(Expression(Integer),...) --E 512 --S 513 of 514 --m0299:= a0299-r0299 --E 513 --S 514 of 514 --d0299:= D(m0299,x) --E 514 )spool \end{chunk} \eject \begin{thebibliography}{99} \bibitem{1} Albert D. Rich ``Rule-based Mathematics'' \verb|www.apmaths.uwo.ca/~arich| \end{thebibliography} \end{document}