\documentclass{article} \usepackage{axiom} \setlength{\textwidth}{400pt} \begin{document} \title{\$SPAD/src/input richlog300-391.input} \author{Albert Rich and Timothy Daly} \maketitle \begin{abstract} \end{abstract} \eject \tableofcontents \eject \begin{chunk}{*} )set break resume )sys rm -f richlog300-391.output )spool richlog300-391.output )set message test on )set message auto off )clear all --S 1 of 460 t0300:= 1/x/cos(a+b*log(c*x^n))^(5/2) --R --R --R 1 --R (1) ---------------------------------------------- --R +--------------------+ --R n 2 | n --R x cos(b log(c x ) + a) \|cos(b log(c x ) + a) --R Type: Expression(Integer) --E 1 --S 2 of 460 r0300:= 2/3*EllipticF(1/2*a+1/2*b*log(c*x^n),2)/b/n+_ 2/3*sin(a+b*log(c*x^n))/b/n/cos(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 --RDaly Bug --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 "$" to specify which version of the function you need. --E 2 --S 3 of 460 a0300:= integrate(t0300,x) --R --R --R x --R ++ 1 --R (2) | ------------------------------------------------- d%R --R ++ +---------------------+ --R n 2 | n --R %R cos(b log(c %R ) + a) \|cos(b log(c %R ) + a) --R Type: Union(Expression(Integer),...) --E 3 --S 4 of 460 --m0300:= a0300-r0300 --E 4 --S 5 of 460 --d0300:= D(m0300,x) --E 5 )clear all --S 6 of 460 t0301:= sec(a+b*log(c*x^n))^(1/2)/x --R --R --R +--------------------+ --R | n --R \|sec(b log(c x ) + a) --R (1) ----------------------- --R x --R Type: Expression(Integer) --E 6 --S 7 of 460 r0301:= 2*cos(a+b*log(c*x^n))^(1/2)*EllipticF(1/2*a+1/2*b*log(c*x^n),2)*_ sec(a+b*log(c*x^n))^(1/2)/b/n --R --R There are no library operations named EllipticF --R Use HyperDoc Browse or issue --R )what op EllipticF --R to learn if there is any operation containing " EllipticF " in --R its name. --R --RDaly Bug --R Cannot find a definition or applicable library operation named --R EllipticF with argument type(s) --R Expression(Integer) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 7 --S 8 of 460 a0301:= integrate(t0301,x) --R --R --R +---------------------+ --R x | n --R ++ \|sec(b log(c %R ) + a) --R (2) | ------------------------ d%R --R ++ %R --R Type: Union(Expression(Integer),...) --E 8 --S 9 of 460 --m0301:= a0301-r0301 --E 9 --S 10 of 460 --d0301:= D(m0301,x) --E 10 )clear all --S 11 of 460 t0302:= sec(a+b*log(c*x^n))^(3/2)/x --R --R --R +--------------------+ --R n | n --R sec(b log(c x ) + a)\|sec(b log(c x ) + a) --R (1) ------------------------------------------- --R x --R Type: Expression(Integer) --E 11 --S 12 of 460 r0302:= -2*cos(a+b*log(c*x^n))^(1/2)*EllipticE(1/2*a+1/2*b*log(c*x^n),2)*_ sec(a+b*log(c*x^n))^(1/2)/b/n+2*sec(a+b*log(c*x^n))^(1/2)*_ sin(a+b*log(c*x^n))/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 --RDaly Bug --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 "$" to specify which version of the function you need. --E 12 --S 13 of 460 a0302:= integrate(t0302,x) --R --R --R +---------------------+ --R x n | n --R ++ sec(b log(c %R ) + a)\|sec(b log(c %R ) + a) --R (2) | --------------------------------------------- d%R --R ++ %R --R Type: Union(Expression(Integer),...) --E 13 --S 14 of 460 --m0302:= a0302-r0302 --E 14 --S 15 of 460 --d0302:= D(m0302,x) --E 15 )clear all --S 16 of 460 t0303:= sec(a+b*log(c*x^n))^(5/2)/x --R --R --R +--------------------+ --R n 2 | n --R sec(b log(c x ) + a) \|sec(b log(c x ) + a) --R (1) -------------------------------------------- --R x --R Type: Expression(Integer) --E 16 --S 17 of 460 r0303:= 2/3*cos(a+b*log(c*x^n))^(1/2)*EllipticF(1/2*a+1/2*b*log(c*x^n),2)*_ sec(a+b*log(c*x^n))^(1/2)/b/n+2/3*sec(a+b*log(c*x^n))^(3/2)*_ sin(a+b*log(c*x^n))/b/n --R --R There are no library operations named EllipticF --R Use HyperDoc Browse or issue --R )what op EllipticF --R to learn if there is any operation containing " EllipticF " in --R its name. --R --RDaly Bug --R Cannot find a definition or applicable library operation named --R EllipticF with argument type(s) --R Expression(Integer) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 17 --S 18 of 460 a0303:= integrate(t0303,x) --R --R --R +---------------------+ --R x n 2 | n --R ++ sec(b log(c %R ) + a) \|sec(b log(c %R ) + a) --R (2) | ---------------------------------------------- d%R --R ++ %R --R Type: Union(Expression(Integer),...) --E 18 --S 19 of 460 --m0303:= a0303-r0303 --E 19 --S 20 of 460 --d0303:= D(m0303,x) --E 20 )clear all --S 21 of 460 t0304:= 1/x/sec(a+b*log(c*x^n))^(1/2) --R --R --R 1 --R (1) ------------------------ --R +--------------------+ --R | n --R x\|sec(b log(c x ) + a) --R Type: Expression(Integer) --E 21 --S 22 of 460 r0304:= 2*cos(a+b*log(c*x^n))^(1/2)*EllipticE(1/2*a+1/2*b*log(c*x^n),2)*_ sec(a+b*log(c*x^n))^(1/2)/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 --RDaly Bug --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 "$" to specify which version of the function you need. --E 22 --S 23 of 460 a0304:= integrate(t0304,x) --R --R --R x --R ++ 1 --R (2) | -------------------------- d%R --R ++ +---------------------+ --R | n --R %R\|sec(b log(c %R ) + a) --R Type: Union(Expression(Integer),...) --E 23 --S 24 of 460 --m0304:= a0304-r0304 --E 24 --S 25 of 460 --d0304:= D(m0304,x) --E 25 )clear all --S 26 of 460 t0305:= 1/x/sec(a+b*log(c*x^n))^(3/2) --R --R --R 1 --R (1) --------------------------------------------- --R +--------------------+ --R n | n --R x sec(b log(c x ) + a)\|sec(b log(c x ) + a) --R Type: Expression(Integer) --E 26 --S 27 of 460 r0305:= 2/3*cos(a+b*log(c*x^n))^(1/2)*EllipticF(1/2*a+_ 1/2*b*log(c*x^n),2)*sec(a+b*log(c*x^n))^(1/2)/b/n+_ 2/3*sin(a+b*log(c*x^n))/b/n/sec(a+b*log(c*x^n))^(1/2) --R --R There are no library operations named EllipticF --R Use HyperDoc Browse or issue --R )what op EllipticF --R to learn if there is any operation containing " EllipticF " in --R its name. --R --RDaly Bug --R Cannot find a definition or applicable library operation named --R EllipticF with argument type(s) --R Expression(Integer) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 27 --S 28 of 460 a0305:= integrate(t0305,x) --R --R --R x --R ++ 1 --R (2) | ------------------------------------------------ d%R --R ++ +---------------------+ --R n | n --R %R sec(b log(c %R ) + a)\|sec(b log(c %R ) + a) --R Type: Union(Expression(Integer),...) --E 28 --S 29 of 460 --m0305:= a0305-r0305 --E 29 --S 30 of 460 --d0305:= D(m0305,x) --E 30 )clear all --S 31 of 460 t0306:= 1/x/sec(a+b*log(c*x^n))^(5/2) --R --R --R 1 --R (1) ---------------------------------------------- --R +--------------------+ --R n 2 | n --R x sec(b log(c x ) + a) \|sec(b log(c x ) + a) --R Type: Expression(Integer) --E 31 --S 32 of 460 r0306:= 6/5*cos(a+b*log(c*x^n))^(1/2)*EllipticE(1/2*a+_ 1/2*b*log(c*x^n),2)*sec(a+b*log(c*x^n))^(1/2)/b/n+_ 2/5*sin(a+b*log(c*x^n))/b/n/sec(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 --RDaly Bug --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 "$" to specify which version of the function you need. --E 32 --S 33 of 460 a0306:= integrate(t0306,x) --R --R --R x --R ++ 1 --R (2) | ------------------------------------------------- d%R --R ++ +---------------------+ --R n 2 | n --R %R sec(b log(c %R ) + a) \|sec(b log(c %R ) + a) --R Type: Union(Expression(Integer),...) --E 33 --S 34 of 460 --m0306:= a0306-r0306 --E 34 --S 35 of 460 --d0306:= D(m0306,x) --E 35 )clear all --S 36 of 460 t0307:= csc(a+b*log(c*x^n))^(1/2)/x --R --R --R +--------------------+ --R | n --R \|csc(b log(c x ) + a) --R (1) ----------------------- --R x --R Type: Expression(Integer) --E 36 --S 37 of 460 r0307:= 2*csc(a+b*log(c*x^n))^(1/2)*EllipticF(1/2*a-1/4*%pi+_ 1/2*b*log(c*x^n),2)*sin(a+b*log(c*x^n))^(1/2)/b/n --R --R There are no library operations named EllipticF --R Use HyperDoc Browse or issue --R )what op EllipticF --R to learn if there is any operation containing " EllipticF " in --R its name. --R --RDaly Bug --R Cannot find a definition or applicable library operation named --R EllipticF with argument type(s) --R Expression(Integer) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 37 --S 38 of 460 a0307:= integrate(t0307,x) --R --R --R +---------------------+ --R x | n --R ++ \|csc(b log(c %R ) + a) --R (2) | ------------------------ d%R --R ++ %R --R Type: Union(Expression(Integer),...) --E 38 --S 39 of 460 --m0307:= a0307-r0307 --E 39 --S 40 of 460 --d0307:= D(m0307,x) --E 40 )clear all --S 41 of 460 t0308:= csc(a+b*log(c*x^n))^(3/2)/x --R --R --R +--------------------+ --R n | n --R csc(b log(c x ) + a)\|csc(b log(c x ) + a) --R (1) ------------------------------------------- --R x --R Type: Expression(Integer) --E 41 --S 42 of 460 r0308:= -2*cos(a+b*log(c*x^n))*csc(a+b*log(c*x^n))^(1/2)/b/n-_ 2*csc(a+b*log(c*x^n))^(1/2)*EllipticE(1/2*a-1/4*%pi+_ 1/2*b*log(c*x^n),2)*sin(a+b*log(c*x^n))^(1/2)/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 --RDaly Bug --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 "$" to specify which version of the function you need. --E 42 --S 43 of 460 a0308:= integrate(t0308,x) --R --R --R +---------------------+ --R x n | n --R ++ csc(b log(c %R ) + a)\|csc(b log(c %R ) + a) --R (2) | --------------------------------------------- d%R --R ++ %R --R Type: Union(Expression(Integer),...) --E 43 --S 44 of 460 --m0308:= a0308-r0308 --E 44 --S 45 of 460 --d0308:= D(m0308,x) --E 45 )clear all --S 46 of 460 t0309:= csc(a+b*log(c*x^n))^(5/2)/x --R --R --R +--------------------+ --R n 2 | n --R csc(b log(c x ) + a) \|csc(b log(c x ) + a) --R (1) -------------------------------------------- --R x --R Type: Expression(Integer) --E 46 --S 47 of 460 r0309:= -2/3*cos(a+b*log(c*x^n))*csc(a+b*log(c*x^n))^(3/2)/b/n+_ 2/3*csc(a+b*log(c*x^n))^(1/2)*EllipticF(1/2*a-1/4*%pi+_ 1/2*b*log(c*x^n),2)*sin(a+b*log(c*x^n))^(1/2)/b/n --R --R There are no library operations named EllipticF --R Use HyperDoc Browse or issue --R )what op EllipticF --R to learn if there is any operation containing " EllipticF " in --R its name. --R --RDaly Bug --R Cannot find a definition or applicable library operation named --R EllipticF with argument type(s) --R Expression(Integer) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 47 --S 48 of 460 a0309:= integrate(t0309,x) --R --R --R +---------------------+ --R x n 2 | n --R ++ csc(b log(c %R ) + a) \|csc(b log(c %R ) + a) --R (2) | ---------------------------------------------- d%R --R ++ %R --R Type: Union(Expression(Integer),...) --E 48 --S 49 of 460 --m0309:= a0309-r0309 --E 49 --S 50 of 460 --d0309:= D(m0309,x) --E 50 )clear all --S 51 of 460 t0310:= 1/x/csc(a+b*log(c*x^n))^(1/2) --R --R --R 1 --R (1) ------------------------ --R +--------------------+ --R | n --R x\|csc(b log(c x ) + a) --R Type: Expression(Integer) --E 51 --S 52 of 460 r0310:= 2*csc(a+b*log(c*x^n))^(1/2)*EllipticE(1/2*a-1/4*%pi+_ 1/2*b*log(c*x^n),2)*sin(a+b*log(c*x^n))^(1/2)/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 --RDaly Bug --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 "$" to specify which version of the function you need. --E 52 --S 53 of 460 a0310:= integrate(t0310,x) --R --R --R x --R ++ 1 --R (2) | -------------------------- d%R --R ++ +---------------------+ --R | n --R %R\|csc(b log(c %R ) + a) --R Type: Union(Expression(Integer),...) --E 53 --S 54 of 460 --m0310:= a0310-r0310 --E 54 --S 55 of 460 --d0310:= D(m0310,x) --E 55 )clear all --S 56 of 460 t0311:= 1/x/csc(a+b*log(c*x^n))^(3/2) --R --R --R 1 --R (1) --------------------------------------------- --R +--------------------+ --R n | n --R x csc(b log(c x ) + a)\|csc(b log(c x ) + a) --R Type: Expression(Integer) --E 56 --S 57 of 460 r0311:= -2/3*cos(a+b*log(c*x^n))/b/n/csc(a+b*log(c*x^n))^(1/2)+_ 2/3*csc(a+b*log(c*x^n))^(1/2)*EllipticF(1/2*a-1/4*%pi+_ 1/2*b*log(c*x^n),2)*sin(a+b*log(c*x^n))^(1/2)/b/n --R --R There are no library operations named EllipticF --R Use HyperDoc Browse or issue --R )what op EllipticF --R to learn if there is any operation containing " EllipticF " in --R its name. --R --RDaly Bug --R Cannot find a definition or applicable library operation named --R EllipticF with argument type(s) --R Expression(Integer) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 57 --S 58 of 460 a0311:= integrate(t0311,x) --R --R --R x --R ++ 1 --R (2) | ------------------------------------------------ d%R --R ++ +---------------------+ --R n | n --R %R csc(b log(c %R ) + a)\|csc(b log(c %R ) + a) --R Type: Union(Expression(Integer),...) --E 58 --S 59 of 460 --m0311:= a0311-r0311 --E 59 --S 60 of 460 --d0311:= D(m0311,x) --E 60 )clear all --S 61 of 460 t0312:= 1/x/csc(a+b*log(c*x^n))^(5/2) --R --R --R 1 --R (1) ---------------------------------------------- --R +--------------------+ --R n 2 | n --R x csc(b log(c x ) + a) \|csc(b log(c x ) + a) --R Type: Expression(Integer) --E 61 --S 62 of 460 r0312:= -2/5*cos(a+b*log(c*x^n))/b/n/csc(a+b*log(c*x^n))^(3/2)+_ 6/5*csc(a+b*log(c*x^n))^(1/2)*EllipticE(1/2*a-1/4*%pi+_ 1/2*b*log(c*x^n),2)*sin(a+b*log(c*x^n))^(1/2)/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 --RDaly Bug --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 62 --S 63 of 460 a0312:= integrate(t0312,x) --R --R --R x --R ++ 1 --R (2) | ------------------------------------------------- d%R --R ++ +---------------------+ --R n 2 | n --R %R csc(b log(c %R ) + a) \|csc(b log(c %R ) + a) --R Type: Union(Expression(Integer),...) --E 63 --S 64 of 460 --m0312:= a0312-r0312 --E 64 --S 65 of 460 --d0312:= D(m0312,x) --E 65 )clear all --S 66 of 460 t0313:= sin(log(a+b*x)) --R --R --R (1) sin(log(b x + a)) --R Type: Expression(Integer) --E 66 --S 67 of 460 r0313:= -1/2*(a+b*x)*(cos(log(a+b*x))-sin(log(a+b*x)))/b --R --R --R (b x + a)sin(log(b x + a)) + (- b x - a)cos(log(b x + a)) --R (2) --------------------------------------------------------- --R 2b --R Type: Expression(Integer) --E 67 --S 68 of 460 a0313:= integrate(t0313,x) --R --R --R (b x + a)sin(log(b x + a)) + (- b x - a)cos(log(b x + a)) --R (3) --------------------------------------------------------- --R 2b --R Type: Union(Expression(Integer),...) --E 68 --S 69 of 460 m0313:= a0313-r0313 --R --R --R (4) 0 --R Type: Expression(Integer) --E 69 --S 70 of 460 d0313:= D(m0313,x) --R --R --R (5) 0 --R Type: Expression(Integer) --E 70 )clear all --S 71 of 460 t0314:= tanh(a+b*log(c*x^n))^2/x --R --R --R n 2 --R tanh(b log(c x ) + a) --R (1) ---------------------- --R x --R Type: Expression(Integer) --E 71 --S 72 of 460 r0314:= 1/b/n*(b*log(c*x^n)-tanh(a+b*log(c*x^n))) --R --R --R n n --R - tanh(b log(c x ) + a) + b log(c x ) --R (2) ------------------------------------- --R b n --R Type: Expression(Integer) --E 72 --S 73 of 460 a0314:= integrate(t0314,x) --R --R --R (3) --R - sinh(b n log(x) + b log(c) + a) --R + --R (b n log(x) + 1)cosh(b n log(x) + b log(c) + a) --R / --R b n cosh(b n log(x) + b log(c) + a) --R Type: Union(Expression(Integer),...) --E 73 --S 74 of 460 m0314:= a0314-r0314 --R --R --R (4) --R n --R cosh(b n log(x) + b log(c) + a)tanh(b log(c x ) + a) --R + --R - sinh(b n log(x) + b log(c) + a) --R + --R n --R - b cosh(b n log(x) + b log(c) + a)log(c x ) --R + --R (b n log(x) + 1)cosh(b n log(x) + b log(c) + a) --R / --R b n cosh(b n log(x) + b log(c) + a) --R Type: Expression(Integer) --E 74 --S 75 of 460 d0314:= D(m0314,x) --R --R --R (5) --R n - 1 2 n 2 --R - x x cosh(b n log(x) + b log(c) + a) tanh(b log(c x ) + a) --R + --R n 2 --R x sinh(b n log(x) + b log(c) + a) --R / --R n 2 --R x x cosh(b n log(x) + b log(c) + a) --R Type: Expression(Integer) --E 75 )clear all --S 76 of 460 t0315:= coth(a+b*log(c*x^n))^2/x --R --R --R n 2 --R coth(b log(c x ) + a) --R (1) ---------------------- --R x --R Type: Expression(Integer) --E 76 --S 77 of 460 r0315:= -1/b/n*(coth(a+b*log(c*x^n))-b*log(c*x^n)) --R --R --R n n --R - coth(b log(c x ) + a) + b log(c x ) --R (2) ------------------------------------- --R b n --R Type: Expression(Integer) --E 77 --S 78 of 460 a0315:= integrate(t0315,x) --R --R --R (3) --R (b n log(x) + 1)sinh(b n log(x) + b log(c) + a) --R + --R - cosh(b n log(x) + b log(c) + a) --R / --R b n sinh(b n log(x) + b log(c) + a) --R Type: Union(Expression(Integer),...) --E 78 --S 79 of 460 m0315:= a0315-r0315 --R --R --R (4) --R n --R sinh(b n log(x) + b log(c) + a)coth(b log(c x ) + a) --R + --R n --R (- b log(c x ) + b n log(x) + 1)sinh(b n log(x) + b log(c) + a) --R + --R - cosh(b n log(x) + b log(c) + a) --R / --R b n sinh(b n log(x) + b log(c) + a) --R Type: Expression(Integer) --E 79 --S 80 of 460 d0315:= D(m0315,x) --R --R --R (5) --R n - 1 2 n 2 --R - x x sinh(b n log(x) + b log(c) + a) coth(b log(c x ) + a) --R + --R n 2 --R x cosh(b n log(x) + b log(c) + a) --R / --R n 2 --R x x sinh(b n log(x) + b log(c) + a) --R Type: Expression(Integer) --E 80 )clear all --S 81 of 460 t0316:= sinh(a+b*log(c*x^n))^(1/2)/x --R --R --R +---------------------+ --R | n --R \|sinh(b log(c x ) + a) --R (1) ------------------------ --R x --R Type: Expression(Integer) --E 81 --S 82 of 460 r0316:= -2*%i*EllipticE(-1/4*%pi+1/2*%i*(a+b*log(c*x^n)),2)*_ sinh(a+b*log(c*x^n))^(1/2)/b/n/(%i*sinh(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 --RDaly Bug --R Cannot find a definition or applicable library operation named --R EllipticE with argument type(s) --R Expression(Complex(Fraction(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 82 --S 83 of 460 a0316:= integrate(t0316,x) --R --R --R +----------------------+ --R x | n --R ++ \|sinh(b log(c %R ) + a) --R (2) | ------------------------- d%R --R ++ %R --R Type: Union(Expression(Integer),...) --E 83 --S 84 of 460 --m0316:= a0316-r0316 --E 84 --S 85 of 460 --d0316:= D(m0316,x) --E 85 )clear all --S 86 of 460 t0317:= sinh(a+b*log(c*x^n))^(3/2)/x --R --R --R +---------------------+ --R n | n --R sinh(b log(c x ) + a)\|sinh(b log(c x ) + a) --R (1) --------------------------------------------- --R x --R Type: Expression(Integer) --E 86 --S 87 of 460 r0317:= 2/3*%i*EllipticF(-1/4*%pi+1/2*%i*(a+b*log(c*x^n)),2)*_ (%i*sinh(a+b*log(c*x^n)))^(1/2)/b/n/sinh(a+b*log(c*x^n))^(1/2)+_ 2/3*cosh(a+b*log(c*x^n))*sinh(a+b*log(c*x^n))^(1/2)/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 --RDaly Bug --R Cannot find a definition or applicable library operation named --R EllipticF with argument type(s) --R Expression(Complex(Fraction(Integer))) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 87 --S 88 of 460 a0317:= integrate(t0317,x) --R --R --R +----------------------+ --R x n | n --R ++ sinh(b log(c %R ) + a)\|sinh(b log(c %R ) + a) --R (2) | ----------------------------------------------- d%R --R ++ %R --R Type: Union(Expression(Integer),...) --E 88 --S 89 of 460 --m0317:= a0317-r0317 --E 89 --S 90 of 460 --d0317:= D(m0317,x) --E 90 )clear all --S 91 of 460 t0318:= sinh(a+b*log(c*x^n))^(5/2)/x --R --R --R +---------------------+ --R n 2 | n --R sinh(b log(c x ) + a) \|sinh(b log(c x ) + a) --R (1) ---------------------------------------------- --R x --R Type: Expression(Integer) --E 91 --S 92 of 460 r0318:= 6/5*%i*EllipticE(-1/4*%pi+1/2*%i*(a+b*log(c*x^n)),2)*_ sinh(a+b*log(c*x^n))^(1/2)/b/n/(%i*sinh(a+b*log(c*x^n)))^(1/2)+_ 2/5*cosh(a+b*log(c*x^n))*sinh(a+b*log(c*x^n))^(3/2)/b/n --R --R There are no library operations named EllipticE --R Use HyperDoc Browse or issue --R )what op EllipticE --R to learn if there is any operation containing " EllipticE " in --R its name. --R --RDaly Bug --R Cannot find a definition or applicable library operation named --R EllipticE with argument type(s) --R Expression(Complex(Fraction(Integer))) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 92 --S 93 of 460 a0318:= integrate(t0318,x) --R --R --R +----------------------+ --R x n 2 | n --R ++ sinh(b log(c %R ) + a) \|sinh(b log(c %R ) + a) --R (2) | ------------------------------------------------ d%R --R ++ %R --R Type: Union(Expression(Integer),...) --E 93 --S 94 of 460 --m0318:= a0318-r0318 --E 94 --S 95 of 460 --d0318:= D(m0318,x) --E 95 )clear all --S 96 of 460 t0319:= 1/x/sinh(a+b*log(c*x^n))^(1/2) --R --R --R 1 --R (1) ------------------------- --R +---------------------+ --R | n --R x\|sinh(b log(c x ) + a) --R Type: Expression(Integer) --E 96 --S 97 of 460 r0319:= -2*%i*EllipticF(-1/4*%pi+1/2*%i*(a+b*log(c*x^n)),2)*_ (%i*sinh(a+b*log(c*x^n)))^(1/2)/b/n/sinh(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 --RDaly Bug --R Cannot find a definition or applicable library operation named --R EllipticF with argument type(s) --R Expression(Complex(Fraction(Integer))) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 97 --S 98 of 460 a0319:= integrate(t0319,x) --R --R --R x --R ++ 1 --R (2) | --------------------------- d%R --R ++ +----------------------+ --R | n --R %R\|sinh(b log(c %R ) + a) --R Type: Union(Expression(Integer),...) --E 98 --S 99 of 460 --m0319:= a0319-r0319 --E 99 --S 100 of 460 --d0319:= D(m0319,x) --E 100 )clear all --S 101 of 460 t0320:= 1/x/sinh(a+b*log(c*x^n))^(3/2) --R --R --R 1 --R (1) ----------------------------------------------- --R +---------------------+ --R n | n --R x sinh(b log(c x ) + a)\|sinh(b log(c x ) + a) --R Type: Expression(Integer) --E 101 --S 102 of 460 r0320:= -2*cosh(a+b*log(c*x^n))/b/n/sinh(a+b*log(c*x^n))^(1/2)-_ 2*%i*EllipticE(-1/4*%pi+1/2*%i*(a+b*log(c*x^n)),2)*_ sinh(a+b*log(c*x^n))^(1/2)/b/n/(%i*sinh(a+b*log(c*x^n)))^(1/2) --R --R There are no library operations named EllipticE --R Use HyperDoc Browse or issue --R )what op EllipticE --R to learn if there is any operation containing " EllipticE " in --R its name. --R --RDaly Bug --R Cannot find a definition or applicable library operation named --R EllipticE with argument type(s) --R Expression(Complex(Fraction(Integer))) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 102 --S 103 of 460 a0320:= integrate(t0320,x) --R --R --R x --R ++ 1 --R (2) | -------------------------------------------------- d%R --R ++ +----------------------+ --R n | n --R %R sinh(b log(c %R ) + a)\|sinh(b log(c %R ) + a) --R Type: Union(Expression(Integer),...) --E 103 --S 104 of 460 --m0320:= a0320-r0320 --E 104 --S 105 of 460 --d0320:= D(m0320,x) --E 105 )clear all --S 106 of 460 t0321:= 1/x/sinh(a+b*log(c*x^n))^(5/2) --R --R --R 1 --R (1) ------------------------------------------------ --R +---------------------+ --R n 2 | n --R x sinh(b log(c x ) + a) \|sinh(b log(c x ) + a) --R Type: Expression(Integer) --E 106 --S 107 of 460 r0321:= -2/3*cosh(a+b*log(c*x^n))/b/n/sinh(a+b*log(c*x^n))^(3/2)+_ 2/3*%i*EllipticF(-1/4*%pi+1/2*%i*(a+b*log(c*x^n)),2)*_ (%i*sinh(a+b*log(c*x^n)))^(1/2)/b/n/sinh(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 --RDaly Bug --R Cannot find a definition or applicable library operation named --R EllipticF with argument type(s) --R Expression(Complex(Fraction(Integer))) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 107 --S 108 of 460 a0321:= integrate(t0321,x) --R --R --R x --R ++ 1 --R (2) | --------------------------------------------------- d%R --R ++ +----------------------+ --R n 2 | n --R %R sinh(b log(c %R ) + a) \|sinh(b log(c %R ) + a) --R Type: Union(Expression(Integer),...) --E 108 --S 109 of 460 --m0321:= a0321-r0321 --E 109 --S 110 of 460 --d0321:= D(m0321,x) --E 110 )clear all --S 111 of 460 t0322:= cosh(a+b*log(c*x^n))^(1/2)/x --R --R --R +---------------------+ --R | n --R \|cosh(b log(c x ) + a) --R (1) ------------------------ --R x --R Type: Expression(Integer) --E 111 --S 112 of 460 r0322:= -2*%i*EllipticE(1/2*%i*(a+b*log(c*x^n)),2)/b/n --R --R There are no library operations named EllipticE --R Use HyperDoc Browse or issue --R )what op EllipticE --R to learn if there is any operation containing " EllipticE " in --R its name. --R --RDaly Bug --R Cannot find a definition or applicable library operation named --R EllipticE with argument type(s) --R Expression(Complex(Fraction(Integer))) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 112 --S 113 of 460 a0322:= integrate(t0322,x) --R --R --R +----------------------+ --R x | n --R ++ \|cosh(b log(c %R ) + a) --R (2) | ------------------------- d%R --R ++ %R --R Type: Union(Expression(Integer),...) --E 113 --S 114 of 460 --m0322:= a0322-r0322 --E 114 --S 115 of 460 --d0322:= D(m0322,x) --E 115 )clear all --S 116 of 460 t0323:= cosh(a+b*log(c*x^n))^(3/2)/x --R --R --R +---------------------+ --R n | n --R cosh(b log(c x ) + a)\|cosh(b log(c x ) + a) --R (1) --------------------------------------------- --R x --R Type: Expression(Integer) --E 116 --S 117 of 460 r0323:= -2/3/b/n*(%i*EllipticF(1/2*%i*(a+b*log(c*x^n)),2)-_ cosh(a+b*log(c*x^n))^(1/2)*sinh(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 --RDaly Bug --R Cannot find a definition or applicable library operation named --R EllipticF with argument type(s) --R Expression(Complex(Fraction(Integer))) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 117 --S 118 of 460 a0323:= integrate(t0323,x) --R --R --R +----------------------+ --R x n | n --R ++ cosh(b log(c %R ) + a)\|cosh(b log(c %R ) + a) --R (2) | ----------------------------------------------- d%R --R ++ %R --R Type: Union(Expression(Integer),...) --E 118 --S 119 of 460 --m0323:= a0323-r0323 --E 119 --S 120 of 460 --d0323:= D(m0323,x) --E 120 )clear all --S 121 of 460 t0324:= cosh(a+b*log(c*x^n))^(5/2)/x --R --R --R +---------------------+ --R n 2 | n --R cosh(b log(c x ) + a) \|cosh(b log(c x ) + a) --R (1) ---------------------------------------------- --R x --R Type: Expression(Integer) --E 121 --S 122 of 460 r0324:= 2/5/b/n*(-3*%i*EllipticE(1/2*%i*(a+b*log(c*x^n)),2)+_ cosh(a+b*log(c*x^n))^(3/2)*sinh(a+b*log(c*x^n))) --R --R There are no library operations named EllipticE --R Use HyperDoc Browse or issue --R )what op EllipticE --R to learn if there is any operation containing " EllipticE " in --R its name. --R --RDaly Bug --R Cannot find a definition or applicable library operation named --R EllipticE with argument type(s) --R Expression(Complex(Fraction(Integer))) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 122 --S 123 of 460 a0324:= integrate(t0324,x) --R --R --R +----------------------+ --R x n 2 | n --R ++ cosh(b log(c %R ) + a) \|cosh(b log(c %R ) + a) --R (2) | ------------------------------------------------ d%R --R ++ %R --R Type: Union(Expression(Integer),...) --E 123 --S 124 of 460 --m0324:= a0324-r0324 --E 124 --S 125 of 460 --d0324:= D(m0324,x) --E 125 )clear all --S 126 of 460 t0325:= 1/x/cosh(a+b*log(c*x^n))^(1/2) --R --R --R 1 --R (1) ------------------------- --R +---------------------+ --R | n --R x\|cosh(b log(c x ) + a) --R Type: Expression(Integer) --E 126 --S 127 of 460 r0325:= -2*%i*EllipticF(1/2*%i*(a+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 --RDaly Bug --R Cannot find a definition or applicable library operation named --R EllipticF with argument type(s) --R Expression(Complex(Fraction(Integer))) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 127 --S 128 of 460 a0325:= integrate(t0325,x) --R --R --R x --R ++ 1 --R (2) | --------------------------- d%R --R ++ +----------------------+ --R | n --R %R\|cosh(b log(c %R ) + a) --R Type: Union(Expression(Integer),...) --E 128 --S 129 of 460 --m0325:= a0325-r0325 --E 129 --S 130 of 460 --d0325:= D(m0325,x) --E 130 )clear all --S 131 of 460 t0326:= 1/x/cosh(a+b*log(c*x^n))^(3/2) --R --R --R 1 --R (1) ----------------------------------------------- --R +---------------------+ --R n | n --R x cosh(b log(c x ) + a)\|cosh(b log(c x ) + a) --R Type: Expression(Integer) --E 131 --S 132 of 460 r0326:= 2*%i*EllipticE(1/2*%i*(a+b*log(c*x^n)),2)/b/n+_ 2*sinh(a+b*log(c*x^n))/b/n/cosh(a+b*log(c*x^n))^(1/2) --R --R There are no library operations named EllipticE --R Use HyperDoc Browse or issue --R )what op EllipticE --R to learn if there is any operation containing " EllipticE " in --R its name. --R --RDaly Bug --R Cannot find a definition or applicable library operation named --R EllipticE with argument type(s) --R Expression(Complex(Fraction(Integer))) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 132 --S 133 of 460 a0326:= integrate(t0326,x) --R --R --R x --R ++ 1 --R (2) | -------------------------------------------------- d%R --R ++ +----------------------+ --R n | n --R %R cosh(b log(c %R ) + a)\|cosh(b log(c %R ) + a) --R Type: Union(Expression(Integer),...) --E 133 --S 134 of 460 --m0326:= a0326-r0326 --E 134 --S 135 of 460 --d0326:= D(m0326,x) --E 135 )clear all --S 136 of 460 t0327:= 1/x/cosh(a+b*log(c*x^n))^(5/2) --R --R --R 1 --R (1) ------------------------------------------------ --R +---------------------+ --R n 2 | n --R x cosh(b log(c x ) + a) \|cosh(b log(c x ) + a) --R Type: Expression(Integer) --E 136 --S 137 of 460 r0327:= -2/3*%i*EllipticF(1/2*%i*(a+b*log(c*x^n)),2)/b/n+_ 2/3*sinh(a+b*log(c*x^n))/b/n/cosh(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 --RDaly Bug --R Cannot find a definition or applicable library operation named --R EllipticF with argument type(s) --R Expression(Complex(Fraction(Integer))) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 137 --S 138 of 460 a0327:= integrate(t0327,x) --R --R --R x --R ++ 1 --R (2) | --------------------------------------------------- d%R --R ++ +----------------------+ --R n 2 | n --R %R cosh(b log(c %R ) + a) \|cosh(b log(c %R ) + a) --R Type: Union(Expression(Integer),...) --E 138 --S 139 of 460 --m0327:= a0327-r0327 --E 139 --S 140 of 460 --d0327:= D(m0327,x) --E 140 )clear all --S 141 of 460 t0328:= sech(a+b*log(c*x^n))^(1/2)/x --R --R --R +---------------------+ --R | n --R \|sech(b log(c x ) + a) --R (1) ------------------------ --R x --R Type: Expression(Integer) --E 141 --S 142 of 460 r0328:= -2*%i*cosh(a+b*log(c*x^n))^(1/2)*_ EllipticF(1/2*%i*(a+b*log(c*x^n)),2)*sech(a+b*log(c*x^n))^(1/2)/b/n --R --R There are no library operations named EllipticF --R Use HyperDoc Browse or issue --R )what op EllipticF --R to learn if there is any operation containing " EllipticF " in --R its name. --R --RDaly Bug --R Cannot find a definition or applicable library operation named --R EllipticF with argument type(s) --R Expression(Complex(Fraction(Integer))) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 142 --S 143 of 460 a0328:= integrate(t0328,x) --R --R --R +----------------------+ --R x | n --R ++ \|sech(b log(c %R ) + a) --R (2) | ------------------------- d%R --R ++ %R --R Type: Union(Expression(Integer),...) --E 143 --S 144 of 460 --m0328:= a0328-r0328 --E 144 --S 145 of 460 --d0328:= D(m0328,x) --E 145 )clear all --S 146 of 460 t0329:= sech(a+b*log(c*x^n))^(3/2)/x --R --R --R +---------------------+ --R n | n --R sech(b log(c x ) + a)\|sech(b log(c x ) + a) --R (1) --------------------------------------------- --R x --R Type: Expression(Integer) --E 146 --S 147 of 460 r0329:= 2*%i*cosh(a+b*log(c*x^n))^(1/2)*_ EllipticE(1/2*%i*(a+b*log(c*x^n)),2)*sech(a+b*log(c*x^n))^(1/2)/b/n+_ 2*sech(a+b*log(c*x^n))^(1/2)*sinh(a+b*log(c*x^n))/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 --RDaly Bug --R Cannot find a definition or applicable library operation named --R EllipticE with argument type(s) --R Expression(Complex(Fraction(Integer))) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 147 --S 148 of 460 a0329:= integrate(t0329,x) --R --R --R +----------------------+ --R x n | n --R ++ sech(b log(c %R ) + a)\|sech(b log(c %R ) + a) --R (2) | ----------------------------------------------- d%R --R ++ %R --R Type: Union(Expression(Integer),...) --E 148 --S 149 of 460 --m0329:= a0329-r0329 --E 149 --S 150 of 460 --d0329:= D(m0329,x) --E 150 )clear all --S 151 of 460 t0330:= sech(a+b*log(c*x^n))^(5/2)/x --R --R --R +---------------------+ --R n 2 | n --R sech(b log(c x ) + a) \|sech(b log(c x ) + a) --R (1) ---------------------------------------------- --R x --R Type: Expression(Integer) --E 151 --S 152 of 460 r0330:= -2/3*%i*cosh(a+b*log(c*x^n))^(1/2)*_ EllipticF(1/2*%i*(a+b*log(c*x^n)),2)*sech(a+b*log(c*x^n))^(1/2)/b/n+_ 2/3*sech(a+b*log(c*x^n))^(3/2)*sinh(a+b*log(c*x^n))/b/n --R --R There are no library operations named EllipticF --R Use HyperDoc Browse or issue --R )what op EllipticF --R to learn if there is any operation containing " EllipticF " in --R its name. --R --RDaly Bug --R Cannot find a definition or applicable library operation named --R EllipticF with argument type(s) --R Expression(Complex(Fraction(Integer))) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 152 --S 153 of 460 a0330:= integrate(t0330,x) --R --R --R +----------------------+ --R x n 2 | n --R ++ sech(b log(c %R ) + a) \|sech(b log(c %R ) + a) --R (2) | ------------------------------------------------ d%R --R ++ %R --R Type: Union(Expression(Integer),...) --E 153 --S 154 of 460 --m0330:= a0330-r0330 --E 154 --S 155 of 460 --d0330:= D(m0330,x) --E 155 )clear all --S 156 of 460 t0331:= 1/x/sech(a+b*log(c*x^n))^(1/2) --R --R --R 1 --R (1) ------------------------- --R +---------------------+ --R | n --R x\|sech(b log(c x ) + a) --R Type: Expression(Integer) --E 156 --S 157 of 460 r0331:= -2*%i*cosh(a+b*log(c*x^n))^(1/2)*_ EllipticE(1/2*%i*(a+b*log(c*x^n)),2)*sech(a+b*log(c*x^n))^(1/2)/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 --RDaly Bug --R Cannot find a definition or applicable library operation named --R EllipticE with argument type(s) --R Expression(Complex(Fraction(Integer))) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 157 --S 158 of 460 a0331:= integrate(t0331,x) --R --R --R x --R ++ 1 --R (2) | --------------------------- d%R --R ++ +----------------------+ --R | n --R %R\|sech(b log(c %R ) + a) --R Type: Union(Expression(Integer),...) --E 158 --S 159 of 460 --m0331:= a0331-r0331 --E 159 --S 160 of 460 --d0331:= D(m0331,x) --E 160 )clear all --S 161 of 460 t0332:= 1/x/sech(a+b*log(c*x^n))^(3/2) --R --R --R 1 --R (1) ----------------------------------------------- --R +---------------------+ --R n | n --R x sech(b log(c x ) + a)\|sech(b log(c x ) + a) --R Type: Expression(Integer) --E 161 --S 162 of 460 r0332:= -2/3*%i*cosh(a+b*log(c*x^n))^(1/2)*_ EllipticF(1/2*%i*(a+b*log(c*x^n)),2)*sech(a+b*log(c*x^n))^(1/2)/b/n+_ 2/3*sinh(a+b*log(c*x^n))/b/n/sech(a+b*log(c*x^n))^(1/2) --R --R There are no library operations named EllipticF --R Use HyperDoc Browse or issue --R )what op EllipticF --R to learn if there is any operation containing " EllipticF " in --R its name. --R --RDaly Bug --R Cannot find a definition or applicable library operation named --R EllipticF with argument type(s) --R Expression(Complex(Fraction(Integer))) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 162 --S 163 of 460 a0332:= integrate(t0332,x) --R --R --R x --R ++ 1 --R (2) | -------------------------------------------------- d%R --R ++ +----------------------+ --R n | n --R %R sech(b log(c %R ) + a)\|sech(b log(c %R ) + a) --R Type: Union(Expression(Integer),...) --E 163 --S 164 of 460 --m0332:= a0332-r0332 --E 164 --S 165 of 460 --d0332:= D(m0332,x) --E 165 )clear all --S 166 of 460 t0333:= 1/x/sech(a+b*log(c*x^n))^(5/2) --R --R --R 1 --R (1) ------------------------------------------------ --R +---------------------+ --R n 2 | n --R x sech(b log(c x ) + a) \|sech(b log(c x ) + a) --R Type: Expression(Integer) --E 166 --S 167 of 460 r0333:= -6/5*%i*cosh(a+b*log(c*x^n))^(1/2)*_ EllipticE(1/2*%i*(a+b*log(c*x^n)),2)*sech(a+b*log(c*x^n))^(1/2)/b/n+_ 2/5*sinh(a+b*log(c*x^n))/b/n/sech(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 --RDaly Bug --R Cannot find a definition or applicable library operation named --R EllipticE with argument type(s) --R Expression(Complex(Fraction(Integer))) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 167 --S 168 of 460 a0333:= integrate(t0333,x) --R --R --R x --R ++ 1 --R (2) | --------------------------------------------------- d%R --R ++ +----------------------+ --R n 2 | n --R %R sech(b log(c %R ) + a) \|sech(b log(c %R ) + a) --R Type: Union(Expression(Integer),...) --E 168 --S 169 of 460 --m0333:= a0333-r0333 --E 169 --S 170 of 460 --d0333:= D(m0333,x) --E 170 )clear all --S 171 of 460 t0334:= csch(a+b*log(c*x^n))^(1/2)/x --R --R --R +---------------------+ --R | n --R \|csch(b log(c x ) + a) --R (1) ------------------------ --R x --R Type: Expression(Integer) --E 171 --S 172 of 460 r0334:= -2*%i*csch(a+b*log(c*x^n))^(1/2)*_ EllipticF(-1/4*%pi+1/2*%i*(a+b*log(c*x^n)),2)*_ (%i*sinh(a+b*log(c*x^n)))^(1/2)/b/n --R --R There are no library operations named EllipticF --R Use HyperDoc Browse or issue --R )what op EllipticF --R to learn if there is any operation containing " EllipticF " in --R its name. --R --RDaly Bug --R Cannot find a definition or applicable library operation named --R EllipticF with argument type(s) --R Expression(Complex(Fraction(Integer))) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 172 --S 173 of 460 a0334:= integrate(t0334,x) --R --R --R +----------------------+ --R x | n --R ++ \|csch(b log(c %R ) + a) --R (2) | ------------------------- d%R --R ++ %R --R Type: Union(Expression(Integer),...) --E 173 --S 174 of 460 --m0334:= a0334-r0334 --E 174 --S 175 of 460 --d0334:= D(m0334,x) --E 175 )clear all --S 176 of 460 t0335:= csch(a+b*log(c*x^n))^(3/2)/x --R --R --R +---------------------+ --R n | n --R csch(b log(c x ) + a)\|csch(b log(c x ) + a) --R (1) --------------------------------------------- --R x --R Type: Expression(Integer) --E 176 --S 177 of 460 r0335:= -2*cosh(a+b*log(c*x^n))*csch(a+b*log(c*x^n))^(1/2)/b/n-_ 2*%i*EllipticE(-1/4*%pi+1/2*%i*(a+b*log(c*x^n)),2)/b/n/_ csch(a+b*log(c*x^n))^(1/2)/(%i*sinh(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 --RDaly Bug --R Cannot find a definition or applicable library operation named --R EllipticE with argument type(s) --R Expression(Complex(Fraction(Integer))) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 177 --S 178 of 460 a0335:= integrate(t0335,x) --R --R --R +----------------------+ --R x n | n --R ++ csch(b log(c %R ) + a)\|csch(b log(c %R ) + a) --R (2) | ----------------------------------------------- d%R --R ++ %R --R Type: Union(Expression(Integer),...) --E 178 --S 179 of 460 --m0335:= a0335-r0335 --E 179 --S 180 of 460 --d0335:= D(m0335,x) --E 180 )clear all --S 181 of 460 t0336:= csch(a+b*log(c*x^n))^(5/2)/x --R --R --R +---------------------+ --R n 2 | n --R csch(b log(c x ) + a) \|csch(b log(c x ) + a) --R (1) ---------------------------------------------- --R x --R Type: Expression(Integer) --E 181 --S 182 of 460 r0336:= -2/3*cosh(a+b*log(c*x^n))*csch(a+b*log(c*x^n))^(3/2)/b/n+_ 2/3*%i*csch(a+b*log(c*x^n))^(1/2)*EllipticF(-1/4*%pi+_ 1/2*%i*(a+b*log(c*x^n)),2)*(%i*sinh(a+b*log(c*x^n)))^(1/2)/b/n --R --R There are no library operations named EllipticF --R Use HyperDoc Browse or issue --R )what op EllipticF --R to learn if there is any operation containing " EllipticF " in --R its name. --R --RDaly Bug --R Cannot find a definition or applicable library operation named --R EllipticF with argument type(s) --R Expression(Complex(Fraction(Integer))) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 182 --S 183 of 460 a0336:= integrate(t0336,x) --R --R --R +----------------------+ --R x n 2 | n --R ++ csch(b log(c %R ) + a) \|csch(b log(c %R ) + a) --R (2) | ------------------------------------------------ d%R --R ++ %R --R Type: Union(Expression(Integer),...) --E 183 --S 184 of 460 --m0336:= a0336-r0336 --E 184 --S 185 of 460 --d0336:= D(m0336,x) --E 185 )clear all --S 186 of 460 t0337:= 1/x/csch(a+b*log(c*x^n))^(1/2) --R --R --R 1 --R (1) ------------------------- --R +---------------------+ --R | n --R x\|csch(b log(c x ) + a) --R Type: Expression(Integer) --E 186 --S 187 of 460 r0337:= -2*%i*EllipticE(-1/4*%pi+1/2*%i*(a+b*log(c*x^n)),2)/b/n/_ csch(a+b*log(c*x^n))^(1/2)/(%i*sinh(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 --RDaly Bug --R Cannot find a definition or applicable library operation named --R EllipticE with argument type(s) --R Expression(Complex(Fraction(Integer))) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 187 --S 188 of 460 a0337:= integrate(t0337,x) --R --R --R x --R ++ 1 --R (2) | --------------------------- d%R --R ++ +----------------------+ --R | n --R %R\|csch(b log(c %R ) + a) --R Type: Union(Expression(Integer),...) --E 188 --S 189 of 460 --m0337:= a0337-r0337 --E 189 --S 190 of 460 --d0337:= D(m0337,x) --E 190 )clear all --S 191 of 460 t0338:= 1/x/csch(a+b*log(c*x^n))^(3/2) --R --R --R 1 --R (1) ----------------------------------------------- --R +---------------------+ --R n | n --R x csch(b log(c x ) + a)\|csch(b log(c x ) + a) --R Type: Expression(Integer) --E 191 --S 192 of 460 r0338:= 2/3*cosh(a+b*log(c*x^n))/b/n/csch(a+b*log(c*x^n))^(1/2)+_ 2/3*%i*csch(a+b*log(c*x^n))^(1/2)*EllipticF(-1/4*%pi+_ 1/2*%i*(a+b*log(c*x^n)),2)*(%i*sinh(a+b*log(c*x^n)))^(1/2)/b/n --R --R There are no library operations named EllipticF --R Use HyperDoc Browse or issue --R )what op EllipticF --R to learn if there is any operation containing " EllipticF " in --R its name. --R --RDaly Bug --R Cannot find a definition or applicable library operation named --R EllipticF with argument type(s) --R Expression(Complex(Fraction(Integer))) --R PositiveInteger --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 192 --S 193 of 460 a0338:= integrate(t0338,x) --R --R --R x --R ++ 1 --R (2) | -------------------------------------------------- d%R --R ++ +----------------------+ --R n | n --R %R csch(b log(c %R ) + a)\|csch(b log(c %R ) + a) --R Type: Union(Expression(Integer),...) --E 193 --S 194 of 460 --m0338:= a0338-r0338 --E 194 --S 195 of 460 --d0338:= D(m0338,x) --E 195 )clear all --S 196 of 460 t0339:= 1/x/csch(a+b*log(c*x^n))^(5/2) --R --R --R 1 --R (1) ------------------------------------------------ --R +---------------------+ --R n 2 | n --R x csch(b log(c x ) + a) \|csch(b log(c x ) + a) --R Type: Expression(Integer) --E 196 --S 197 of 460 r0339:= 2/5*cosh(a+b*log(c*x^n))/b/n/csch(a+b*log(c*x^n))^(3/2)+_ 6/5*%i*EllipticE(-1/4*%pi+1/2*%i*(a+b*log(c*x^n)),2)/b/n/_ csch(a+b*log(c*x^n))^(1/2)/(%i*sinh(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 --RDaly Bug --R Cannot find a definition or applicable library operation named --R EllipticE with argument type(s) --R Expression(Complex(Fraction(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 197 --S 198 of 460 a0339:= integrate(t0339,x) --R --R --R x --R ++ 1 --R (2) | --------------------------------------------------- d%R --R ++ +----------------------+ --R n 2 | n --R %R csch(b log(c %R ) + a) \|csch(b log(c %R ) + a) --R Type: Union(Expression(Integer),...) --E 198 --S 199 of 460 --m0339:= a0339-r0339 --E 199 --S 200 of 460 --d0339:= D(m0339,x) --E 200 )clear all --S 201 of 460 t0340:= 1/2*log(a+b*x) --R --R --R log(b x + a) --R (1) ------------ --R 2 --R Type: Expression(Integer) --E 201 --S 202 of 460 r0340:= -1/2*x+1/2*(a+b*x)*log(a+b*x)/b --R --R --R (b x + a)log(b x + a) - b x --R (2) --------------------------- --R 2b --R Type: Expression(Integer) --E 202 --S 203 of 460 a0340:= integrate(t0340,x) --R --R --R (b x + a)log(b x + a) - b x --R (3) --------------------------- --R 2b --R Type: Union(Expression(Integer),...) --E 203 --S 204 of 460 m0340:= a0340-r0340 --R --R --R (4) 0 --R Type: Expression(Integer) --E 204 --S 205 of 460 d0340:= D(m0340,x) --R --R --R (5) 0 --R Type: Expression(Integer) --E 205 )clear all --S 206 of 460 t0341:= log(x^(1/2)+(1+x)^(1/2)) --R --R --R +-----+ +-+ --R (1) log(\|x + 1 + \|x ) --R Type: Expression(Integer) --E 206 --S 207 of 460 r0341:= -1/2*(x/(1+x))^(1/2)*(1+x)+1/2*atanh((x/(1+x))^(1/2))+_ x*log(x^(1/2)+(1+x)^(1/2)) --R --R --R +-----+ +-----+ --R +-----+ +-+ | x | x --R 2x log(\|x + 1 + \|x ) + atanh( |----- ) + (- x - 1) |----- --R \|x + 1 \|x + 1 --R (2) ------------------------------------------------------------- --R 2 --R Type: Expression(Integer) --E 207 --S 208 of 460 random value, ok to fail a0341:= integrate(t0341,x) --R --R --R (3) --R +-+ +-----+ 2 +-----+ +-+ --R ((4x + 2)\|x \|x + 1 + 4x + 4x + 1)log(\|x + 1 + \|x ) --R + --R +-+ +-----+ 2 --R (- 2x - 1)\|x \|x + 1 - 2x - 2x --R / --R +-+ +-----+ --R 4\|x \|x + 1 + 4x + 2 --R Type: Union(Expression(Integer),...) --E 208 --S 209 of 460 random value, ok to fail m0341:= a0341-r0341 --R --R --R +-----+ +-----+ --R +-----+ +-+ | x | x --R - 2x log(\|x + 1 + \|x ) - atanh( |----- ) + (x + 1) |----- + 2a0341 --R \|x + 1 \|x + 1 --R (4) ---------------------------------------------------------------------- --R 2 --R Type: Expression(Integer) --E 209 --S 210 of 460 random value, ok to fail d0341:= D(m0341,x) --R --R --R +-----+ --R +-+ +-----+ +-----+ +-+ | x +-+ +-----+ --R - 2\|x \|x + 1 log(\|x + 1 + \|x ) + |----- \|x \|x + 1 - x --R \|x + 1 --R (5) -------------------------------------------------------------- --R +-+ +-----+ --R 2\|x \|x + 1 --R Type: Expression(Integer) --E 210 )clear all --S 211 of 460 t0342:= log(abs(a^2-x^2)) --R --R --R 2 2 --R (1) log(abs(x - a )) --R Type: Expression(Integer) --E 211 --S 212 of 460 r0342:= -2*x+2*a*atanh(x/a)+1/2*x*log((a^2-x^2)^2) --R --R --R 4 2 2 4 x --R x log(x - 2a x + a ) + 4a atanh(-) - 4x --R a --R (2) ----------------------------------------- --R 2 --R Type: Expression(Integer) --E 212 --S 213 of 460 a0342:= integrate(t0342,x) --R --R --R 2 2 --R (3) x log(abs(x - a )) + a log(x + a) - a log(x - a) - 2x --R Type: Union(Expression(Integer),...) --E 213 --S 214 of 460 m0342:= a0342-r0342 --R --R --R (4) --R 2 2 4 2 2 4 --R 2x log(abs(x - a )) - x log(x - 2a x + a ) + 2a log(x + a) --R + --R x --R - 2a log(x - a) - 4a atanh(-) --R a --R / --R 2 --R Type: Expression(Integer) --E 214 --S 215 of 460 d0342:= D(m0342,x) --R --R --R 2 2 4 2 2 4 --R 2log(abs(x - a )) - log(x - 2a x + a ) --R (5) ----------------------------------------- --R 2 --R Type: Expression(Integer) --E 215 )clear all --S 216 of 460 t0343:= log((-11+5*x)/(5+76*x)) --R --R --R 5x - 11 --R (1) log(-------) --R 76x + 5 --R Type: Expression(Integer) --E 216 --S 217 of 460 r0343:= -11/5*log(11-5*x)+x*log((-11+5*x)/(5+76*x))-5/76*log(5+76*x) --R --R --R 5x - 11 --R - 25log(76x + 5) + 380x log(-------) - 836log(- 5x + 11) --R 76x + 5 --R (2) -------------------------------------------------------- --R 380 --R Type: Expression(Integer) --E 217 --S 218 of 460 a0343:= integrate(t0343,x) --R --R --R 5x - 11 --R - 25log(76x + 5) - 836log(5x - 11) + 380x log(-------) --R 76x + 5 --R (3) ------------------------------------------------------ --R 380 --R Type: Union(Expression(Integer),...) --E 218 --S 219 of 460 m0343:= a0343-r0343 --R --R --R - 11log(5x - 11) + 11log(- 5x + 11) --R (4) ----------------------------------- --R 5 --R Type: Expression(Integer) --E 219 --S 220 of 460 d0343:= D(m0343,x) --R --R --R (5) 0 --R Type: Expression(Integer) --E 220 )clear all --S 221 of 460 t0344:= log((1+x)/(-1+x))/x^2 --R --R --R x + 1 --R log(-----) --R x - 1 --R (1) ---------- --R 2 --R x --R Type: Expression(Integer) --E 221 --S 222 of 460 r0344:= 2*log(x)-log(-(1+x)/(1-x))/x-log(1-x^2) --R --R --R x + 1 2 --R 2x log(x) - log(-----) - x log(- x + 1) --R x - 1 --R (2) ---------------------------------------- --R x --R Type: Expression(Integer) --E 222 --S 223 of 460 a0344:= integrate(t0344,x) --R --R --R 2 x + 1 --R - x log(x - 1) + 2x log(x) - log(-----) --R x - 1 --R (3) ---------------------------------------- --R x --R Type: Union(Expression(Integer),...) --E 223 --S 224 of 460 m0344:= a0344-r0344 --R --R --R 2 2 --R (4) - log(x - 1) + log(- x + 1) --R Type: Expression(Integer) --E 224 --S 225 of 460 d0344:= D(m0344,x) --R --R --R (5) 0 --R Type: Expression(Integer) --E 225 )clear all --S 226 of 460 t0345:= x*log((1+x)/x^2) --R --R --R x + 1 --R (1) x log(-----) --R 2 --R x --R Type: Expression(Integer) --E 226 --S 227 of 460 r0345:= 1/2*x+1/4*x^2-1/2*log(1+x)+1/2*x^2*log((1+x)/x^2) --R --R --R 2 x + 1 2 --R - 2log(x + 1) + 2x log(-----) + x + 2x --R 2 --R x --R (2) --------------------------------------- --R 4 --R Type: Expression(Integer) --E 227 --S 228 of 460 a0345:= integrate(t0345,x) --R --R --R 2 x + 1 2 --R - 2log(x + 1) + 2x log(-----) + x + 2x --R 2 --R x --R (3) --------------------------------------- --R 4 --R Type: Union(Expression(Integer),...) --E 228 --S 229 of 460 m0345:= a0345-r0345 --R --R --R (4) 0 --R Type: Expression(Integer) --E 229 --S 230 of 460 d0345:= D(m0345,x) --R --R --R (5) 0 --R Type: Expression(Integer) --E 230 )clear all --S 231 of 460 t0346:= (a+b*x)^n*log(a+b*x) --R --R --R n --R (1) log(b x + a)(b x + a) --R Type: Expression(Integer) --E 231 --S 232 of 460 r0346:= 1/b/(1+n)^2*(a+b*x)^(1+n)*(-1+log(a+b*x)+n*log(a+b*x)) --R --R --R n + 1 --R ((n + 1)log(b x + a) - 1)(b x + a) --R (2) --------------------------------------- --R 2 --R b n + 2b n + b --R Type: Expression(Integer) --E 232 --S 233 of 460 a0346:= integrate(t0346,x) --R --R --R n log(b x + a) --R (((b n + b)x + a n + a)log(b x + a) - b x - a)%e --R (3) -------------------------------------------------------------- --R 2 --R b n + 2b n + b --R Type: Union(Expression(Integer),...) --E 233 --S 234 of 460 m0346:= a0346-r0346 --R --R --R (4) --R n log(b x + a) --R (((b n + b)x + a n + a)log(b x + a) - b x - a)%e --R + --R n + 1 --R ((- n - 1)log(b x + a) + 1)(b x + a) --R / --R 2 --R b n + 2b n + b --R Type: Expression(Integer) --E 234 --S 235 of 460 d0346:= D(m0346,x) --R --R --R (5) --R n log(b x + a) n + 1 --R ((b n + b)x + a n + a)log(b x + a)%e - (b x + a) --R + --R n --R (((- b n - b)x - a n - a)log(b x + a) + b x + a)(b x + a) --R / --R (b n + b)x + a n + a --R Type: Expression(Integer) --E 235 )clear all --S 236 of 460 t0347:= log((a+b*x)/(c+d*x))/x --R --R --R b x + a --R log(-------) --R d x + c --R (1) ------------ --R x --R Type: Expression(Integer) --E 236 --S 237 of 460 r0347:= -log((b*c-a*d)/b/(c+d*x))*log((a+b*x)/(c+d*x))+_ log(-(b*c-a*d)*x/a/(c+d*x))*log((a+b*x)/(c+d*x))-_ polylog(2,d*(x+a/b)/(c+d*x))+polylog(2,c*(1+b*x/a)/(c+d*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 --RDaly Bug --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 237 --S 238 of 460 a0347:= integrate(t0347,x) --R --R --R %R b + a --R x log(--------) --R ++ %R d + c --R (2) | ------------- d%R --R ++ %R --R Type: Union(Expression(Integer),...) --E 238 --S 239 of 460 --m0347:= a0347-r0347 --E 239 --S 240 of 460 --d0347:= D(m0347,x) --E 240 )clear all --S 241 of 460 t0348:= log((a+b*x)/(c+d*x))^2/x --R --R --R b x + a 2 --R log(-------) --R d x + c --R (1) ------------- --R x --R Type: Expression(Integer) --E 241 --S 242 of 460 r0348:= -log((b*c-a*d)/b/(c+d*x))*log((a+b*x)/(c+d*x))^2+_ log(-(b*c-a*d)*x/a/(c+d*x))*log((a+b*x)/(c+d*x))^2-_ 2*log((a+b*x)/(c+d*x))*polylog(2,d*(x+a/b)/(c+d*x))+_ 2*log((a+b*x)/(c+d*x))*polylog(2,c*(1+b*x/a)/(c+d*x))-_ 2*polylog(3,c*(a+b*x)/a/(c+d*x))+2*polylog(3,d*(a+b*x)/b/(c+d*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 --RDaly Bug --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 242 --S 243 of 460 a0348:= integrate(t0348,x) --R --R --R %R b + a 2 --R x log(--------) --R ++ %R d + c --R (2) | -------------- d%R --R ++ %R --R Type: Union(Expression(Integer),...) --E 243 --S 244 of 460 --m0348:= a0348-r0348 --E 244 --S 245 of 460 --d0348:= D(m0348,x) --E 245 )clear all --S 246 of 460 t0349:= log(a*log(b*x^n)^p) --R --R --R n p --R (1) log(a log(b x ) ) --R Type: Expression(Integer) --E 246 --S 247 of 460 r0349:= -p*x*Ei(1/n*log(b*x^n))/((b*x^n)^(1/n))+x*log(a*log(b*x^n)^p) --R --R --R 1 --R - n --R n n n p log(b x ) --R x (b x ) log(a log(b x ) ) - p x Ei(---------) --R n --R (2) ---------------------------------------------- --R 1 --R - --R n n --R (b x ) --R Type: Expression(Integer) --E 247 --S 248 of 460 a0349:= integrate(t0349,x) --R --R --R x --R ++ n p --R (3) | log(a log(b %R ) )d%R --R ++ --R Type: Union(Expression(Integer),...) --E 248 --S 249 of 460 --m0349:= a0349-r0349 --E 249 --S 250 of 460 --d0349:= D(m0349,x) --E 250 )clear all --S 251 of 460 t0350:= x^m*log(a*log(b*x)^p) --R --R --R m p --R (1) x log(a log(b x) ) --R Type: Expression(Integer) --E 251 --S 252 of 460 r0350:= -1/b/(1+m)*(p*x^m*(b*x)^(-m)*Ei((1+m)*log(b*x))-_ x^(1+m)*log(a*log(b*x)^p)*b) --R --R --R m + 1 p m - m --R b x log(a log(b x) ) - p x (b x) Ei((m + 1)log(b x)) --R (2) ---------------------------------------------------------- --R b m + b --R Type: Expression(Integer) --E 252 --S 253 of 460 a0350:= integrate(t0350,x) --R --R --R x --R ++ m p --R (3) | %R log(a log(%R b) )d%R --R ++ --R Type: Union(Expression(Integer),...) --E 253 --S 254 of 460 --m0350:= a0350-r0350 --E 254 --S 255 of 460 --d0350:= D(m0350,x) --E 255 )clear all --S 256 of 460 t0351:= x^m*log(a*log(b*x^n)^p) --R --R --R m n p --R (1) x log(a log(b x ) ) --R Type: Expression(Integer) --E 256 --S 257 of 460 r0351:= 1/(1+m)*x^(1+m)*(-p*Ei((1+m)/n*log(b*x^n))*(b*x^n)^(-(1+m)/n)+_ log(a*log(b*x^n)^p)) --R --R --R - m - 1 --R ------- n --R m + 1 n p m + 1 n n (m + 1)log(b x ) --R x log(a log(b x ) ) - p x (b x ) Ei(----------------) --R n --R (2) ------------------------------------------------------------------- --R m + 1 --R Type: Expression(Integer) --E 257 --S 258 of 460 a0351:= integrate(t0351,x) --R --R --R x --R ++ m n p --R (3) | %R log(a log(b %R ) )d%R --R ++ --R Type: Union(Expression(Integer),...) --E 258 --S 259 of 460 --m0351:= a0351-r0351 --E 259 --S 260 of 460 --d0351:= D(m0351,x) --E 260 )clear all --S 261 of 460 t0352:= log(x)/(a+b*log(x))^(1/2) --R --R --R log(x) --R (1) --------------- --R +------------+ --R \|b log(x) + a --R Type: Expression(Integer) --E 261 --S 262 of 460 r0352:= -1/2*(2*a+b)*%pi^(1/2)*erfi((a+b*log(x))^(1/2)/b^(1/2))/_ (exp(1)^(a/b))/b^(3/2)+x*(a+b*log(x))^(1/2)/b --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue --R )what op erfi --R to learn if there is any operation containing " erfi " in its --R name. --R --RDaly Bug --R Cannot find a definition or applicable library operation named erfi --R with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 262 --S 263 of 460 a0352:= integrate(t0352,x) --R --R --RDaly Bug --R >> Error detected within library code: --R integrate: implementation incomplete (constant residues) --R --R Continuing to read the file... --R --E 263 --S 264 of 460 --m0352:= a0352-r0352 --E 264 --S 265 of 460 --d0352:= D(m0352,x) --E 265 )clear all --S 266 of 460 t0353:= log(x)/(a-b*log(x))^(1/2) --R --R --R log(x) --R (1) ----------------- --R +--------------+ --R \|- b log(x) + a --R Type: Expression(Integer) --E 266 --S 267 of 460 r0353:= -1/2*(2*a-b)*exp(1)^(a/b)*%pi^(1/2)*erf((a-b*log(x))^(1/2)/_ b^(1/2))/b^(3/2)-x*(a-b*log(x))^(1/2)/b --R --R --R a --R - +--------------+ --R b +---+ \|- b log(x) + a +-+ +--------------+ --R (b - 2a)%e \|%pi erf(-----------------) - 2x\|b \|- b log(x) + a --R +-+ --R \|b --R (2) ----------------------------------------------------------------- --R +-+ --R 2b\|b --R Type: Expression(Integer) --E 267 --S 268 of 460 a0353:= integrate(t0353,x) --R --R --RDaly Bug --R >> Error detected within library code: --R integrate: implementation incomplete (constant residues) --R --R Continuing to read the file... --R --E 268 --S 269 of 460 --m0353:= a0353-r0353 --E 269 --S 270 of 460 --d0353:= D(m0353,x) --E 270 )clear all --S 271 of 460 t0354:= (A+B*log(x))/(a+b*log(x))^(1/2) --R --R --R B log(x) + A --R (1) --------------- --R +------------+ --R \|b log(x) + a --R Type: Expression(Integer) --E 271 --S 272 of 460 r0354:= 1/2*(2*A*b-(2*a+b)*B)*%pi^(1/2)*erfi((a+b*log(x))^(1/2)/b^(1/2))/_ (exp(1)^(a/b))/b^(3/2)+B*x*(a+b*log(x))^(1/2)/b --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue --R )what op erfi --R to learn if there is any operation containing " erfi " in its --R name. --R --RDaly Bug --R Cannot find a definition or applicable library operation named erfi --R with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 272 --S 273 of 460 a0354:= integrate(t0354,x) --R --R --RDaly Bug --R >> Error detected within library code: --R integrate: implementation incomplete (constant residues) --R --R Continuing to read the file... --R --E 273 --S 274 of 460 --m0354:= a0354-r0354 --E 274 --S 275 of 460 --d0354:= D(m0354,x) --E 275 )clear all --S 276 of 460 t0355:= (A+B*log(x))/(a-b*log(x))^(1/2) --R --R --R B log(x) + A --R (1) ----------------- --R +--------------+ --R \|- b log(x) + a --R Type: Expression(Integer) --E 276 --S 277 of 460 r0355:= -1/2*(2*A*b+(2*a-b)*B)*exp(1)^(a/b)*%pi^(1/2)*_ erf((a-b*log(x))^(1/2)/b^(1/2))/b^(3/2)-B*x*(a-b*log(x))^(1/2)/b --R --R --R (2) --R a --R - +--------------+ --R b +---+ \|- b log(x) + a +-+ +--------------+ --R ((B - 2A)b - 2B a)%e \|%pi erf(-----------------) - 2B x\|b \|- b log(x) + a --R +-+ --R \|b --R ----------------------------------------------------------------------------- --R +-+ --R 2b\|b --R Type: Expression(Integer) --E 277 --S 278 of 460 a0355:= integrate(t0355,x) --R --R --RDaly Bug --R >> Error detected within library code: --R integrate: implementation incomplete (constant residues) --R --R Continuing to read the file... --R --E 278 --S 279 of 460 --m0355:= a0355-r0355 --E 279 --S 280 of 460 --d0355:= D(m0355,x) --E 280 )clear all --S 281 of 460 t0356:= log(x)*sin(a+b*x) --R --R --R (1) log(x)sin(b x + a) --R Type: Expression(Integer) --E 281 --S 282 of 460 r0356:= (cos(a)*Ci(b*x)-log(x)*cos(a+b*x)-sin(a)*Si(b*x))/b --R --R --R - Si(b x)sin(a) - cos(b x + a)log(x) + Ci(b x)cos(a) --R (2) ---------------------------------------------------- --R b --R Type: Expression(Integer) --E 282 --S 283 of 460 a0356:= integrate(t0356,x) --R --R --R x --R ++ --R (3) | log(%R)sin(%R b + a)d%R --R ++ --R Type: Union(Expression(Integer),...) --E 283 --S 284 of 460 --m0356:= a0356-r0356 --E 284 --S 285 of 460 --d0356:= D(m0356,x) --E 285 )clear all --S 286 of 460 t0357:= log(x)*sin(a+b*x)^2 --R --R --R 2 --R (1) log(x)sin(b x + a) --R Type: Expression(Integer) --E 286 --S 287 of 460 r0357:= -1/4*(2*b*x-Ci(2*b*x)*sin(2*a)-2*log(x)*b*x+2*log(x)*cos(a+b*x)*_ sin(a+b*x)-cos(2*a)*Si(2*b*x))/b --R --R --R (2) --R - 2cos(b x + a)log(x)sin(b x + a) + Ci(2b x)sin(2a) + 2b x log(x) --R + --R Si(2b x)cos(2a) - 2b x --R / --R 4b --R Type: Expression(Integer) --E 287 --S 288 of 460 a0357:= integrate(t0357,x) --R --R --R x --R ++ 2 --R (3) | log(%R)sin(%R b + a) d%R --R ++ --R Type: Union(Expression(Integer),...) --E 288 --S 289 of 460 --m0357:= a0357-r0357 --E 289 --S 290 of 460 --d0357:= D(m0357,x) --E 290 )clear all --S 291 of 460 t0358:= log(x)*sin(a+b*x)^3 --R --R --R 3 --R (1) log(x)sin(b x + a) --R Type: Expression(Integer) --E 291 --S 292 of 460 r0358:= 1/12*(9*cos(a)*Ci(b*x)-cos(3*a)*Ci(3*b*x)-12*log(x)*cos(a+b*x)+_ 4*log(x)*cos(a+b*x)^3-9*sin(a)*Si(b*x)+sin(3*a)*Si(3*b*x))/b --R --R --R (2) --R Si(3b x)sin(3a) - 9Si(b x)sin(a) --R + --R 3 --R (4cos(b x + a) - 12cos(b x + a))log(x) - Ci(3b x)cos(3a) + 9Ci(b x)cos(a) --R / --R 12b --R Type: Expression(Integer) --E 292 --S 293 of 460 a0358:= integrate(t0358,x) --R --R --R x --R ++ 3 --R (3) | log(%R)sin(%R b + a) d%R --R ++ --R Type: Union(Expression(Integer),...) --E 293 --S 294 of 460 --m0358:= a0358-r0358 --E 294 --S 295 of 460 --d0358:= D(m0358,x) --E 295 )clear all --S 296 of 460 t0359:= log(x)*cos(a+b*x) --R --R --R (1) cos(b x + a)log(x) --R Type: Expression(Integer) --E 296 --S 297 of 460 r0359:= -(Ci(b*x)*sin(a)-log(x)*sin(a+b*x)+cos(a)*Si(b*x))/b --R --R --R log(x)sin(b x + a) - Ci(b x)sin(a) - Si(b x)cos(a) --R (2) -------------------------------------------------- --R b --R Type: Expression(Integer) --E 297 --S 298 of 460 a0359:= integrate(t0359,x) --R --R --R x --R ++ --R (3) | cos(%R b + a)log(%R)d%R --R ++ --R Type: Union(Expression(Integer),...) --E 298 --S 299 of 460 --m0359:= a0359-r0359 --E 299 --S 300 of 460 --d0359:= D(m0359,x) --E 300 )clear all --S 301 of 460 t0360:= log(x)*cos(a+b*x)^2 --R --R --R 2 --R (1) cos(b x + a) log(x) --R Type: Expression(Integer) --E 301 --S 302 of 460 r0360:= 1/4*(-2*b*x-Ci(2*b*x)*sin(2*a)+2*log(x)*b*x+2*log(x)*cos(a+b*x)*_ sin(a+b*x)-cos(2*a)*Si(2*b*x))/b --R --R --R (2) --R 2cos(b x + a)log(x)sin(b x + a) - Ci(2b x)sin(2a) + 2b x log(x) --R + --R - Si(2b x)cos(2a) - 2b x --R / --R 4b --R Type: Expression(Integer) --E 302 --S 303 of 460 a0360:= integrate(t0360,x) --R --R --R x --R ++ 2 --R (3) | cos(%R b + a) log(%R)d%R --R ++ --R Type: Union(Expression(Integer),...) --E 303 --S 304 of 460 --m0360:= a0360-r0360 --E 304 --S 305 of 460 --d0360:= D(m0360,x) --E 305 )clear all --S 306 of 460 t0361:= log(x)*cos(a+b*x)^3 --R --R --R 3 --R (1) cos(b x + a) log(x) --R Type: Expression(Integer) --E 306 --S 307 of 460 r0361:= -1/12*(9*Ci(b*x)*sin(a)+Ci(3*b*x)*sin(3*a)-8*log(x)*sin(a+b*x)-_ 4*log(x)*sin(a+b*x)*cos(a+b*x)^2+9*cos(a)*Si(b*x)+cos(3*a)*Si(3*b*x))/b --R --R --R (2) --R 2 --R (4cos(b x + a) + 8)log(x)sin(b x + a) - Ci(3b x)sin(3a) - 9Ci(b x)sin(a) --R + --R - Si(3b x)cos(3a) - 9Si(b x)cos(a) --R / --R 12b --R Type: Expression(Integer) --E 307 --S 308 of 460 a0361:= integrate(t0361,x) --R --R --R x --R ++ 3 --R (3) | cos(%R b + a) log(%R)d%R --R ++ --R Type: Union(Expression(Integer),...) --E 308 --S 309 of 460 --m0361:= a0361-r0361 --E 309 --S 310 of 460 --d0361:= D(m0361,x) --E 310 )clear all --S 311 of 460 t0362:= log(x)*sinh(a+b*x) --R --R --R (1) log(x)sinh(b x + a) --R Type: Expression(Integer) --E 311 --S 312 of 460 r0362:= (-cosh(a)*Chi(b*x)+log(x)*cosh(a+b*x)-sinh(a)*Shi(b*x))/b --R --R There are no library operations named Chi --R Use HyperDoc Browse or issue --R )what op Chi --R to learn if there is any operation containing " Chi " in its --R name. --R --RDaly Bug --R Cannot find a definition or applicable library operation named Chi --R with argument type(s) --R Polynomial(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 312 --S 313 of 460 a0362:= integrate(t0362,x) --R --R --R x --R ++ --R (2) | log(%R)sinh(%R b + a)d%R --R ++ --R Type: Union(Expression(Integer),...) --E 313 --S 314 of 460 --m0362:= a0362-r0362 --E 314 --S 315 of 460 --d0362:= D(m0362,x) --E 315 )clear all --S 316 of 460 t0363:= log(x)*sinh(a+b*x)^3 --R --R --R 3 --R (1) log(x)sinh(b x + a) --R Type: Expression(Integer) --E 316 --S 317 of 460 r0363:= 1/12*(9*cosh(a)*Chi(b*x)-cosh(3*a)*Chi(3*b*x)-12*log(x)*cosh(a+b*x)+_ 4*log(x)*cosh(a+b*x)^3+9*sinh(a)*Shi(b*x)-sinh(3*a)*Shi(3*b*x))/b --R --R There are no library operations named Chi --R Use HyperDoc Browse or issue --R )what op Chi --R to learn if there is any operation containing " Chi " in its --R name. --R --RDaly Bug --R Cannot find a definition or applicable library operation named Chi --R with argument type(s) --R Polynomial(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 317 --S 318 of 460 a0363:= integrate(t0363,x) --R --R --R x --R ++ 3 --R (2) | log(%R)sinh(%R b + a) d%R --R ++ --R Type: Union(Expression(Integer),...) --E 318 --S 319 of 460 --m0363:= a0363-r0363 --E 319 --S 320 of 460 --d0363:= D(m0363,x) --E 320 )clear all --S 321 of 460 t0364:= log(x)*cosh(a+b*x) --R --R --R (1) cosh(b x + a)log(x) --R Type: Expression(Integer) --E 321 --S 322 of 460 r0364:= (-Chi(b*x)*sinh(a)+log(x)*sinh(a+b*x)-cosh(a)*Shi(b*x))/b --R --R There are no library operations named Chi --R Use HyperDoc Browse or issue --R )what op Chi --R to learn if there is any operation containing " Chi " in its --R name. --R --RDaly Bug --R Cannot find a definition or applicable library operation named Chi --R with argument type(s) --R Polynomial(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 322 --S 323 of 460 a0364:= integrate(t0364,x) --R --R --R x --R ++ --R (2) | cosh(%R b + a)log(%R)d%R --R ++ --R Type: Union(Expression(Integer),...) --E 323 --S 324 of 460 --m0364:= a0364-r0364 --E 324 --S 325 of 460 --d0364:= D(m0364,x) --E 325 )clear all --S 326 of 460 t0365:= log(x)*cosh(a+b*x)^3 --R --R --R 3 --R (1) cosh(b x + a) log(x) --R Type: Expression(Integer) --E 326 --S 327 of 460 r0365:= 1/12/b*(-9*Chi(b*x)*sinh(a)-Chi(3*b*x)*sinh(3*a)+8*log(x)*_ sinh(a+b*x)+4*log(x)*sinh(a+b*x)*cosh(a+b*x)^2-_ 9*cosh(a)*Shi(b*x)-cosh(3*a)*Shi(3*b*x)) --R --R There are no library operations named Chi --R Use HyperDoc Browse or issue --R )what op Chi --R to learn if there is any operation containing " Chi " in its --R name. --R --RDaly Bug --R Cannot find a definition or applicable library operation named Chi --R with argument type(s) --R Polynomial(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 327 --S 328 of 460 a0365:= integrate(t0365,x) --R --R --R x --R ++ 3 --R (2) | cosh(%R b + a) log(%R)d%R --R ++ --R Type: Union(Expression(Integer),...) --E 328 --S 329 of 460 --m0365:= a0365-r0365 --E 329 --S 330 of 460 --d0365:= D(m0365,x) --E 330 )clear all --S 331 of 460 t0366:= x*(4+x^2)^(1/2)*log(x) --R --R --R +------+ --R | 2 --R (1) x log(x)\|x + 4 --R Type: Expression(Integer) --E 331 --S 332 of 460 r0366:= -4/3*(4+x^2)^(1/2)-1/9*(4+x^2)^(3/2)+8/3*atanh(1/2*(4+x^2)^(1/2))+_ 1/3*(4+x^2)^(3/2)*log(x) --R --R --R +------+ --R | 2 +------+ --R \|x + 4 2 2 | 2 --R 24atanh(---------) + ((3x + 12)log(x) - x - 16)\|x + 4 --R 2 --R (2) ---------------------------------------------------------- --R 9 --R Type: Expression(Integer) --E 332 --S 333 of 460 a0366:= integrate(t0366,x) --R --R --R (3) --R +------+ +------+ --R 2 | 2 3 | 2 --R ((24x + 24)\|x + 4 - 24x - 72x)log(\|x + 4 - x + 2) --R + --R +------+ +------+ --R 2 | 2 3 | 2 --R ((- 24x - 24)\|x + 4 + 24x + 72x)log(\|x + 4 - x - 2) --R + --R +------+ --R 5 3 5 3 | 2 --R ((- 3x - 21x - 36x)log(x) + x + 19x + 48x)\|x + 4 --R + --R 6 4 2 6 4 2 --R (3x + 27x + 72x + 48)log(x) - x - 21x - 84x - 64 --R / --R +------+ --R 2 | 2 3 --R (9x + 9)\|x + 4 - 9x - 27x --R Type: Union(Expression(Integer),...) --E 333 --S 334 of 460 m0366:= a0366-r0366 --R --R --R +------+ --R +------+ +------+ | 2 --R | 2 | 2 \|x + 4 --R 8log(\|x + 4 - x + 2) - 8log(\|x + 4 - x - 2) - 8atanh(---------) --R 2 --R (4) --------------------------------------------------------------------- --R 3 --R Type: Expression(Integer) --E 334 --S 335 of 460 d0366:= D(m0366,x) --R --R --R (5) 0 --R Type: Expression(Integer) --E 335 )clear all --S 336 of 460 t0367:= x*log(x)/(-1+x^2)^(1/2) --R --R --R x log(x) --R (1) --------- --R +------+ --R | 2 --R \|x - 1 --R Type: Expression(Integer) --E 336 --S 337 of 460 r0367:= -(-1+x^2)^(1/2)+atan((-1+x^2)^(1/2))+(-1+x^2)^(1/2)*log(x) --R --R --R +------+ +------+ --R | 2 | 2 --R (2) atan(\|x - 1 ) + (log(x) - 1)\|x - 1 --R Type: Expression(Integer) --E 337 --S 338 of 460 a0367:= integrate(t0367,x) --R --R --R (3) --R +------+ +------+ +------+ --R | 2 | 2 | 2 --R (2\|x - 1 - 2x)atan(\|x - 1 - x) + (- x log(x) + x)\|x - 1 --R + --R 2 2 --R (x - 1)log(x) - x + 1 --R / --R +------+ --R | 2 --R \|x - 1 - x --R Type: Union(Expression(Integer),...) --E 338 --S 339 of 460 m0367:= a0367-r0367 --R --R --R +------+ +------+ --R | 2 | 2 --R (4) - atan(\|x - 1 ) + 2atan(\|x - 1 - x) --R Type: Expression(Integer) --E 339 --S 340 of 460 d0367:= D(m0367,x) --R --R --R (5) 0 --R Type: Expression(Integer) --E 340 )clear all --S 341 of 460 t0368:= log(cos(x))*tan(x) --R --R --R (1) tan(x)log(cos(x)) --R Type: Expression(Integer) --E 341 --S 342 of 460 r0368:= -1/2*log(cos(x))^2 --R --R --R 2 --R log(cos(x)) --R (2) - ------------ --R 2 --R Type: Expression(Integer) --E 342 --S 343 of 460 a0368:= integrate(t0368,x) --R --R --R 2 --R log(cos(x)) --R (3) - ------------ --R 2 --R Type: Union(Expression(Integer),...) --E 343 --S 344 of 460 m0368:= a0368-r0368 --R --R --R (4) 0 --R Type: Expression(Integer) --E 344 --S 345 of 460 d0368:= D(m0368,x) --R --R --R (5) 0 --R Type: Expression(Integer) --E 345 )clear all --S 346 of 460 t0369:= cos(x)*log(cos(x)) --R --R --R (1) cos(x)log(cos(x)) --R Type: Expression(Integer) --E 346 --S 347 of 460 r0369:= atanh(sin(x))-sin(x)+log(cos(x))*sin(x) --R --R --R (2) sin(x)log(cos(x)) + atanh(sin(x)) - sin(x) --R Type: Expression(Integer) --E 347 --S 348 of 460 a0369:= integrate(t0369,x) --R --R --R log(sin(x) + 1) - log(sin(x) - 1) + 2sin(x)log(cos(x)) - 2sin(x) --R (3) ---------------------------------------------------------------- --R 2 --R Type: Union(Expression(Integer),...) --E 348 --S 349 of 460 m0369:= a0369-r0369 --R --R --R log(sin(x) + 1) - log(sin(x) - 1) - 2atanh(sin(x)) --R (4) -------------------------------------------------- --R 2 --R Type: Expression(Integer) --E 349 --S 350 of 460 d0369:= D(m0369,x) --R --R --R (5) 0 --R Type: Expression(Integer) --E 350 )clear all --S 351 of 460 t0370:= log(sin(x))*sin(x)^2 --R --R --R 2 --R (1) sin(x) log(sin(x)) --R Type: Expression(Integer) --E 351 --S 352 of 460 r0370:= 1/4*x+1/4*%i*x^2-1/2*x*log(1-exp(1)^(2*%i*x))+_ 1/4*%i*polylog(2,exp(1)^(2*%i*x))+1/4*cos(x)*sin(x)+_ 1/2*log(sin(x))*(x-cos(x)*sin(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 --RDaly Bug --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 352 --S 353 of 460 a0370:= integrate(t0370,x) --R --R --R x --R ++ 2 --R (2) | sin(%R) log(sin(%R))d%R --R ++ --R Type: Union(Expression(Integer),...) --E 353 --S 354 of 460 --m0370:= a0370-r0370 --E 354 --S 355 of 460 --d0370:= D(m0370,x) --E 355 )clear all --S 356 of 460 t0371:= log(sin(x))*sin(x)^3 --R --R --R 3 --R (1) sin(x) log(sin(x)) --R Type: Expression(Integer) --E 356 --S 357 of 460 r0371:= -2/3*atanh(cos(x))+2/3*cos(x)-1/9*cos(x)^3-_ 1/3*cos(x)*(3-cos(x)^2)*log(sin(x)) --R --R --R 3 3 --R (3cos(x) - 9cos(x))log(sin(x)) - 6atanh(cos(x)) - cos(x) + 6cos(x) --R (2) -------------------------------------------------------------------- --R 9 --R Type: Expression(Integer) --E 357 --S 358 of 460 a0371:= integrate(t0371,x) --R --R --R (3) --R 3 --R (3cos(x) - 9cos(x))log(sin(x)) - 3log(cos(x) + 1) + 3log(cos(x) - 1) --R + --R 3 --R - cos(x) + 6cos(x) --R / --R 9 --R Type: Union(Expression(Integer),...) --E 358 --S 359 of 460 --m0371:= a0371-r0371 --E 359 --S 360 of 460 --d0371:= D(m0371,x) --E 360 )clear all --S 361 of 460 t0372:= log(sin(x^(1/2))) --R --R --R +-+ --R (1) log(sin(\|x )) --R Type: Expression(Integer) --E 361 --S 362 of 460 r0372:= 1/3*%i*x^(3/2)-x*log(1-exp(2*%i*x^(1/2)))+x*log(sin(x^(1/2)))+_ %i*x^(1/2)*polylog(2,exp(2*%i*x^(1/2)))-_ 1/2*polylog(3,exp(2*%i*x^(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 --RDaly Bug --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 362 --S 363 of 460 a0372:= integrate(t0372,x) --R --R --R x --R ++ +--+ --R (2) | log(sin(\|%R ))d%R --R ++ --R Type: Union(Expression(Integer),...) --E 363 --S 364 of 460 --m0372:= a0372-r0372 --E 364 --S 365 of 460 --d0372:= D(m0372,x) --E 365 )clear all --S 366 of 460 t0373:= log(sin(x))*csc(x)^2 --R --R --R 2 --R (1) csc(x) log(sin(x)) --R Type: Expression(Integer) --E 366 --S 367 of 460 r0373:= -x-cot(x)-cot(x)*log(sin(x)) --R --R --R (2) - cot(x)log(sin(x)) - cot(x) - x --R Type: Expression(Integer) --E 367 --S 368 of 460 a0373:= integrate(t0373,x) --R --R --R 2 --R cos(x)sin(x)log(sin(x)) + cos(x)sin(x) - x cos(x) + x --R (3) ------------------------------------------------------ --R 2 --R cos(x) - 1 --R Type: Union(Expression(Integer),...) --E 368 --S 369 of 460 m0373:= a0373-r0373 --R --R --R (4) --R 2 --R (cos(x)sin(x) + (cos(x) - 1)cot(x))log(sin(x)) + cos(x)sin(x) --R + --R 2 --R (cos(x) - 1)cot(x) --R / --R 2 --R cos(x) - 1 --R Type: Expression(Integer) --E 369 --S 370 of 460 d0373:= D(m0373,x) --R --R --R (5) --R 2 3 --R (cos(x) + 1)sin(x) --R + --R 4 2 2 2 --R ((- cos(x) + 2cos(x) - 1)cot(x) + cos(x) - 1)sin(x) --R * --R log(sin(x)) --R + --R 2 3 --R (cos(x) + 1)sin(x) --R + --R 4 2 2 4 --R ((- cos(x) + 2cos(x) - 1)cot(x) + cos(x) - 1)sin(x) --R + --R 5 3 --R (cos(x) - 2cos(x) + cos(x))cot(x) --R / --R 4 2 --R (cos(x) - 2cos(x) + 1)sin(x) --R Type: Expression(Integer) --E 370 )clear all --S 371 of 460 t0374:= x*log(x)/(a+b*x+c*x^2) --R --R --R x log(x) --R (1) -------------- --R 2 --R c x + b x + a --R Type: Expression(Integer) --E 371 --S 372 of 460 r0374:= 1/2*(1-b/(b^2-4*a*c)^(1/2))*log(x)*_ log((b-(b^2-4*a*c)^(1/2)+2*c*x)/(b-(b^2-4*a*c)^(1/2)))/c+_ 1/2*(1+b/(b^2-4*a*c)^(1/2))*log(x)*log((b+(b^2-_ 4*a*c)^(1/2)+2*c*x)/(b+(b^2-4*a*c)^(1/2)))/c+_ 1/2*(1-b/(b^2-4*a*c)^(1/2))*_ polylog(2,1-(b-(b^2-4*a*c)^(1/2)+2*c*x)/(b-(b^2-4*a*c)^(1/2)))/c+_ 1/2*(1+b/(b^2-4*a*c)^(1/2))*_ polylog(2,1-(b+(b^2-4*a*c)^(1/2)+2*c*x)/(b+(b^2-4*a*c)^(1/2)))/c --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 --RDaly Bug --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 372 --S 373 of 460 a0374:= integrate(t0374,x) --R --R --R x --R ++ %R log(%R) --R (2) | --------------- d%R --R ++ 2 --R %R c + %R b + a --R Type: Union(Expression(Integer),...) --E 373 --S 374 of 460 --m0374:= a0374-r0374 --E 374 --S 375 of 460 --d0374:= D(m0374,x) --E 375 )clear all --S 376 of 460 t0375:= x^2*log(x)/(a+b*x+c*x^2) --R --R --R 2 --R x log(x) --R (1) -------------- --R 2 --R c x + b x + a --R Type: Expression(Integer) --E 376 --S 377 of 460 r0375:= -x/c+x*log(x)/c+1/4*(b-(b^2-4*a*c)^(1/2))^2*log(x)*_ log((b-(b^2-4*a*c)^(1/2)+2*c*x)/(b-(b^2-4*a*c)^(1/2)))/c^2/_ (b^2-4*a*c)^(1/2)-1/4*(b+(b^2-4*a*c)^(1/2))^2*log(x)*_ log((b+(b^2-4*a*c)^(1/2)+2*c*x)/(b+(b^2-4*a*c)^(1/2)))/c^2/_ (b^2-4*a*c)^(1/2)+1/4*(b-(b^2-4*a*c)^(1/2))^2*_ polylog(2,1-(b-(b^2-4*a*c)^(1/2)+2*c*x)/(b-(b^2-4*a*c)^(1/2)))/_ c^2/(b^2-4*a*c)^(1/2)-1/4*(b+(b^2-4*a*c)^(1/2))^2*_ polylog(2,1-(b+(b^2-4*a*c)^(1/2)+2*c*x)/(b+(b^2-4*a*c)^(1/2)))/_ c^2/(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 --RDaly Bug --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 "$" to specify which version of the function you need. --E 377 --S 378 of 460 a0375:= integrate(t0375,x) --R --R --R x 2 --R ++ %R log(%R) --R (2) | --------------- d%R --R ++ 2 --R %R c + %R b + a --R Type: Union(Expression(Integer),...) --E 378 --S 379 of 460 --m0375:= a0375-r0375 --E 379 --S 380 of 460 --d0375:= D(m0375,x) --E 380 )clear all --S 381 of 460 t0376:= log(x)/x^2/(a+b*x+c*x^2) --R --R --R log(x) --R (1) ------------------ --R 4 3 2 --R c x + b x + a x --R Type: Expression(Integer) --E 381 --S 382 of 460 r0376:= -2*c/(b^2-4*a*c)^(1/2)/(b-(b^2-4*a*c)^(1/2))/x+_ 2*c/(b^2-4*a*c)^(1/2)/(b+(b^2-4*a*c)^(1/2))/x-2*c*log(x)/_ (b^2-4*a*c)^(1/2)/(b-(b^2-4*a*c)^(1/2))/x+_ 2*c*log(x)/(b^2-4*a*c)^(1/2)/(b+(b^2-4*a*c)^(1/2))/x-_ 2*c^2*log(x)^2/(b^2-4*a*c)^(1/2)/(b-(b^2-4*a*c)^(1/2))^2+_ 2*c^2*log(x)^2/(b^2-4*a*c)^(1/2)/(b+(b^2-4*a*c)^(1/2))^2+_ 4*c^2*log(x)*log((b-(b^2-4*a*c)^(1/2)+2*c*x)/_ (b-(b^2-4*a*c)^(1/2)))/(b^2-4*a*c)^(1/2)/(b-(b^2-4*a*c)^(1/2))^2-_ 4*c^2*log(x)*log((b+(b^2-4*a*c)^(1/2)+2*c*x)/_ (b+(b^2-4*a*c)^(1/2)))/(b^2-4*a*c)^(1/2)/(b+(b^2-4*a*c)^(1/2))^2+_ 4*c^2*polylog(2,1-(b-(b^2-4*a*c)^(1/2)+2*c*x)/_ (b-(b^2-4*a*c)^(1/2)))/(b^2-4*a*c)^(1/2)/(b-(b^2-4*a*c)^(1/2))^2-_ 4*c^2*polylog(2,1-(b+(b^2-4*a*c)^(1/2)+2*c*x)/_ (b+(b^2-4*a*c)^(1/2)))/(b^2-4*a*c)^(1/2)/(b+(b^2-4*a*c)^(1/2))^2 --R --R There are no library operations named polylog --R Use HyperDoc Browse or issue --R )what op polylog --R to learn if there is any operation containing " polylog " in its --R name. --R --RDaly Bug --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 382 --S 383 of 460 a0376:= integrate(t0376,x) --R --R --R x --R ++ log(%R) --R (2) | ------------------ d%R --R ++ 4 3 2 --R %R c + %R b + %R a --R Type: Union(Expression(Integer),...) --E 383 --S 384 of 460 --m0376:= a0376-r0376 --E 384 --S 385 of 460 --d0376:= D(m0376,x) --E 385 )clear all --S 386 of 460 t0377:= (2-log(x))*(3+log(x))^2/x --R --R --R 3 2 --R - log(x) - 4log(x) + 3log(x) + 18 --R (1) ----------------------------------- --R x --R Type: Expression(Integer) --E 386 --S 387 of 460 r0377:= -1/12*(3+log(x))^3*(-11+3*log(x)) --R --R --R 4 3 2 --R - 3log(x) - 16log(x) + 18log(x) + 216log(x) + 297 --R (2) ---------------------------------------------------- --R 12 --R Type: Expression(Integer) --E 387 --S 388 of 460 a0377:= integrate(t0377,x) --R --R --R 4 3 2 --R - 3log(x) - 16log(x) + 18log(x) + 216log(x) --R (3) ---------------------------------------------- --R 12 --R Type: Union(Expression(Integer),...) --E 388 --S 389 of 460 m0377:= a0377-r0377 --R --R --R 99 --R (4) - -- --R 4 --R Type: Expression(Integer) --E 389 --S 390 of 460 d0377:= D(m0377,x) --R --R --R (5) 0 --R Type: Expression(Integer) --E 390 )clear all --S 391 of 460 t0378:= (1+log(x))^(1/2)/x/log(x) --R --R --R +----------+ --R \|log(x) + 1 --R (1) ------------- --R x log(x) --R Type: Expression(Integer) --E 391 --S 392 of 460 r0378:= -2*atanh((1+log(x))^(1/2))+2*(1+log(x))^(1/2) --R --R --R +----------+ +----------+ --R (2) - 2atanh(\|log(x) + 1 ) + 2\|log(x) + 1 --R Type: Expression(Integer) --E 392 --S 393 of 460 a0378:= integrate(t0378,x) --R --R --R +----------+ +----------+ +----------+ --R (3) - log(\|log(x) + 1 + 1) + log(\|log(x) + 1 - 1) + 2\|log(x) + 1 --R Type: Union(Expression(Integer),...) --E 393 --S 394 of 460 m0378:= a0378-r0378 --R --R --R (4) --R +----------+ +----------+ +----------+ --R - log(\|log(x) + 1 + 1) + log(\|log(x) + 1 - 1) + 2atanh(\|log(x) + 1 ) --R Type: Expression(Integer) --E 394 --S 395 of 460 d0378:= D(m0378,x) --R --R --R (5) 0 --R Type: Expression(Integer) --E 395 )clear all --S 396 of 460 t0379:= (log(a*x^n)^2)^p/x --R --R --R n 2p --R log(a x ) --R (1) ----------- --R x --R Type: Expression(Integer) --E 396 --S 397 of 460 r0379:= log(a*x^n)*(log(a*x^n)^2)^p/n/(1+2*p) --R --R --R n n 2p --R log(a x )log(a x ) --R (2) -------------------- --R 2n p + n --R Type: Expression(Integer) --E 397 --S 398 of 460 a0379:= integrate(t0379,x) --R --R --R 2p log(n log(x) + log(a)) --R (n log(x) + log(a))%e --R (3) ---------------------------------------------- --R 2n p + n --R Type: Union(Expression(Integer),...) --E 398 --S 399 of 460 m0379:= a0379-r0379 --R --R --R (4) --R n n 2p 2p log(n log(x) + log(a)) --R - log(a x )log(a x ) + (n log(x) + log(a))%e --R ----------------------------------------------------------------------- --R 2n p + n --R Type: Expression(Integer) --E 399 --S 400 of 460 d0379:= D(m0379,x) --R --R --R (5) --R n - 1 n 2p n - 1 n n 2p - 1 --R - x x log(a x ) - 2p x x log(a x )log(a x ) --R + --R n 2p log(n log(x) + log(a)) --R (2p + 1)x %e --R / --R n --R (2p + 1)x x --R Type: Expression(Integer) --E 400 )clear all --S 401 of 460 t0380:= (log(a*x^n)^m)^p/x --R --R --R n m p --R log(a x ) --R (1) ------------ --R x --R Type: Expression(Integer) --E 401 --S 402 of 460 r0380:= log(a*x^n)*(log(a*x^n)^m)^p/n/(1+m*p) --R --R --R n n m p --R log(a x )log(a x ) --R (2) --------------------- --R m n p + n --R Type: Expression(Integer) --E 402 --S 403 of 460 a0380:= integrate(t0380,x) --R --R --R m p log(n log(x) + log(a)) --R (n log(x) + log(a))%e --R (3) ----------------------------------------------- --R m n p + n --R Type: Union(Expression(Integer),...) --E 403 --S 404 of 460 m0380:= a0380-r0380 --R --R --R (4) --R n n m p m p log(n log(x) + log(a)) --R - log(a x )log(a x ) + (n log(x) + log(a))%e --R ------------------------------------------------------------------------- --R m n p + n --R Type: Expression(Integer) --E 404 --S 405 of 460 d0380:= D(m0380,x) --R --R --R (5) --R n - 1 n m p n - 1 n n m p - 1 --R - x x log(a x ) - m p x x log(a x )log(a x ) --R + --R n m p log(n log(x) + log(a)) --R (m p + 1)x %e --R / --R n --R (m p + 1)x x --R Type: Expression(Integer) --E 405 )clear all --S 406 of 460 t0381:= (log(a*x^n)^2)^(1/2)/x --R --R --R +----------+ --R | n 2 --R \|log(a x ) --R (1) ------------- --R x --R Type: Expression(Integer) --E 406 --S 407 of 460 r0381:= 1/2*log(a*x^n)^2*csgn(log(a*x^n))/n --R --R There are no library operations named csgn --R Use HyperDoc Browse or issue --R )what op csgn --R to learn if there is any operation containing " csgn " in its --R name. --R --RDaly Bug --R Cannot find a definition or applicable library operation named csgn --R with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 407 --S 408 of 460 a0381:= integrate(t0381,x) --R --R --R 2 --R n log(x) + 2log(a)log(x) --R (2) ------------------------- --R 2 --R Type: Union(Expression(Integer),...) --E 408 --S 409 of 460 m0381:= a0381-r0381 --R --R --R 2 --R n log(x) + 2log(a)log(x) - 2r0381 --R (3) ---------------------------------- --R 2 --R Type: Expression(Integer) --E 409 --S 410 of 460 d0381:= D(m0381,x) --R --R --R n log(x) + log(a) --R (4) ----------------- --R x --R Type: Expression(Integer) --E 410 )clear all --S 411 of 460 t0382:= (b*log(a*x^n)^m)^p/x --R --R --R n m p --R (b log(a x ) ) --R (1) --------------- --R x --R Type: Expression(Integer) --E 411 --S 412 of 460 r0382:= log(a*x^n)*(b*log(a*x^n)^m)^p/n/(1+m*p) --R --R --R n n m p --R log(a x )(b log(a x ) ) --R (2) ------------------------ --R m n p + n --R Type: Expression(Integer) --E 412 --S 413 of 460 a0382:= integrate(t0382,x) --R --R --R m p log(n log(x) + log(a)) + p log(b) --R (n log(x) + log(a))%e --R (3) ---------------------------------------------------------- --R m n p + n --R Type: Union(Expression(Integer),...) --E 413 --S 414 of 460 m0382:= a0382-r0382 --R --R --R (4) --R n n m p --R - log(a x )(b log(a x ) ) --R + --R m p log(n log(x) + log(a)) + p log(b) --R (n log(x) + log(a))%e --R / --R m n p + n --R Type: Expression(Integer) --E 414 --S 415 of 460 d0382:= D(m0382,x) --R --R --R (5) --R n - 1 n m p --R - x x (b log(a x ) ) --R + --R n - 1 n n m - 1 n m p - 1 --R - b m p x x log(a x )log(a x ) (b log(a x ) ) --R + --R n m p log(n log(x) + log(a)) + p log(b) --R (m p + 1)x %e --R / --R n --R (m p + 1)x x --R Type: Expression(Integer) --E 415 )clear all --S 416 of 460 t0383:= 1/(-log(a*x^2))^(1/2) --R --R --R 1 --R (1) -------------- --R +-----------+ --R | 2 --R \|- log(a x ) --R Type: Expression(Integer) --E 416 --S 417 of 460 r0383:= -1/2*2^(1/2)*%pi^(1/2)*x*erf(1/2*(-log(a*x^2))^(1/2)*2^(1/2))/_ (a*x^2)^(1/2) --R --R --R +-----------+ --R +-+ | 2 --R +-+ +---+ \|2 \|- log(a x ) --R x\|2 \|%pi erf(------------------) --R 2 --R (2) - ---------------------------------- --R +----+ --R | 2 --R 2\|a x --R Type: Expression(Integer) --E 417 --S 418 of 460 a0383:= integrate(t0383,x) --R --R --RDaly Bug --R >> Error detected within library code: --R integrate: implementation incomplete (constant residues) --R --R Continuing to read the file... --R --E 418 --S 419 of 460 --m0383:= a0383-r0383 --E 419 --S 420 of 460 --d0383:= D(m0383,x) --E 420 )clear all --S 421 of 460 t0384:= 1/(-log(a/x^2))^(1/2) --R --R --R 1 --R (1) ------------ --R +---------+ --R | a --R |- log(--) --R | 2 --R \| x --R Type: Expression(Integer) --E 421 --S 422 of 460 r0384:= 1/2*2^(1/2)*%pi^(1/2)*(a/x^2)^(1/2)*x*_ erfi(1/2*(-log(a/x^2))^(1/2)*2^(1/2)) --R --R There are no library operations named erfi --R Use HyperDoc Browse or issue --R )what op erfi --R to learn if there is any operation containing " erfi " in its --R name. --R --RDaly Bug --R Cannot find a definition or applicable library operation named erfi --R with argument type(s) --R Expression(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 422 --S 423 of 460 a0384:= integrate(t0384,x) --R --R --RDaly Bug --R >> Error detected within library code: --R integrate: implementation incomplete (constant residues) --R --R Continuing to read the file... --R --E 423 --S 424 of 460 --m0384:= a0384-r0384 --E 424 --S 425 of 460 --d0384:= D(m0384,x) --E 425 )clear all --S 426 of 460 t0385:= 1/(-log(a*x^n))^(1/2) --R --R --R 1 --R (1) -------------- --R +-----------+ --R | n --R \|- log(a x ) --R Type: Expression(Integer) --E 426 --S 427 of 460 r0385:= -%pi^(1/2)*x*erf((-log(a*x^n))^(1/2)/n^(1/2))/n^(1/2)/((a*x^n)^(1/n)) --R --R --R +-----------+ --R | n --R +---+ \|- log(a x ) --R x\|%pi erf(--------------) --R +-+ --R \|n --R (2) - -------------------------- --R 1 --R - --R +-+ n n --R \|n (a x ) --R Type: Expression(Integer) --E 427 --S 428 of 460 a0385:= integrate(t0385,x) --R --R --RDaly Bug --R >> Error detected within library code: --R integrate: implementation incomplete (constant residues) --R --R Continuing to read the file... --R --E 428 --S 429 of 460 --m0385:= a0385-r0385 --E 429 --S 430 of 460 --d0385:= D(m0385,x) --E 430 )clear all --S 431 of 460 t0386:= log(x^n)/(a+b*x) --R --R --R n --R log(x ) --R (1) ------- --R b x + a --R Type: Expression(Integer) --E 431 --S 432 of 460 r0386:= 1/b*(log(x^n)*log((a+b*x)/a)+n*polylog(2,-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 --RDaly Bug --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 432 --S 433 of 460 a0386:= integrate(t0386,x) --R --R --R x n --R ++ log(%R ) --R (2) | -------- d%R --R ++ %R b + a --R Type: Union(Expression(Integer),...) --E 433 --S 434 of 460 --m0386:= a0386-r0386 --E 434 --S 435 of 460 --d0386:= D(m0386,x) --E 435 )clear all --S 436 of 460 t0387:= sin(x*log(x))+log(x)*sin(x*log(x)) --R --R --R (1) (log(x) + 1)sin(x log(x)) --R Type: Expression(Integer) --E 436 --S 437 of 460 r0387:= -cos(x*log(x)) --R --R --R (2) - cos(x log(x)) --R Type: Expression(Integer) --E 437 --S 438 of 460 a0387:= integrate(t0387,x) --R --R --R (3) - cos(x log(x)) --R Type: Union(Expression(Integer),...) --E 438 --S 439 of 460 m0387:= a0387-r0387 --R --R --R (4) 0 --R Type: Expression(Integer) --E 439 --S 440 of 460 d0387:= D(m0387,x) --R --R --R (5) 0 --R Type: Expression(Integer) --E 440 )clear all --S 441 of 460 t0388:= log((1-x^2)/(1+x^2))/(1+x)^2 --R --R --R 2 --R - x + 1 --R log(--------) --R 2 --R x + 1 --R (1) ------------- --R 2 --R x + 2x + 1 --R Type: Expression(Integer) --E 441 --S 442 of 460 r0388:= -1/(1+x)-atan(x)+1/2*log(1-x)+1/2*log(1+x)-_ log((1-x^2)/(1+x^2))/(1+x)-1/2*log(1+x^2) --R --R --R (2) --R 2 --R 2 - x + 1 --R (- x - 1)log(x + 1) + (x + 1)log(x + 1) - 2log(--------) --R 2 --R x + 1 --R + --R (x + 1)log(- x + 1) + (- 2x - 2)atan(x) - 2 --R / --R 2x + 2 --R Type: Expression(Integer) --E 442 --S 443 of 460 a0388:= integrate(t0388,x) --R --R --R (3) --R 2 --R 2 2 - x + 1 --R (- x - 1)log(x + 1) + (x + 1)log(x - 1) - 2log(--------) --R 2 --R x + 1 --R + --R (- 2x - 2)atan(x) - 2 --R / --R 2x + 2 --R Type: Union(Expression(Integer),...) --E 443 --S 444 of 460 m0388:= a0388-r0388 --R --R --R 2 --R log(x - 1) - log(x + 1) - log(- x + 1) --R (4) --------------------------------------- --R 2 --R Type: Expression(Integer) --E 444 --S 445 of 460 d0388:= D(m0388,x) --R --R --R (5) 0 --R Type: Expression(Integer) --E 445 )clear all --S 446 of 460 t0389:= log((-1+x)/(1+x)) --R --R --R x - 1 --R (1) log(-----) --R x + 1 --R Type: Expression(Integer) --E 446 --S 447 of 460 r0389:= x*log((-1+x)/(1+x))-log(-(-1+x)*(1+x)) --R --R --R x - 1 2 --R (2) x log(-----) - log(- x + 1) --R x + 1 --R Type: Expression(Integer) --E 447 --S 448 of 460 a0389:= integrate(t0389,x) --R --R --R 2 x - 1 --R (3) - log(x - 1) + x log(-----) --R x + 1 --R Type: Union(Expression(Integer),...) --E 448 --S 449 of 460 m0389:= a0389-r0389 --R --R --R 2 2 --R (4) - log(x - 1) + log(- x + 1) --R Type: Expression(Integer) --E 449 --S 450 of 460 d0389:= D(m0389,x) --R --R --R (5) 0 --R Type: Expression(Integer) --E 450 )clear all --S 451 of 460 t0390:= log(x)/(-1+x) --R --R --R log(x) --R (1) ------ --R x - 1 --R Type: Expression(Integer) --E 451 --S 452 of 460 r0390:= -polylog(2,1-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 --RDaly Bug --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Polynomial(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 452 --S 453 of 460 a0390:= integrate(t0390,x) --R --R --R (2) - dilog(x) --R Type: Union(Expression(Integer),...) --E 453 --S 454 of 460 --m0390:= a0390-r0390 --E 454 --S 455 of 460 --d0390:= D(m0390,x) --E 455 )clear all --S 456 of 460 t0391:= x*log(1-a-b*x)/(a+b*x) --R --R --R x log(- b x - a + 1) --R (1) -------------------- --R b x + a --R Type: Expression(Integer) --E 456 --S 457 of 460 r0391:= -x/b-(1-a-b*x)*log(1-a-b*x)/b^2+a*polylog(2,a+b*x)/b^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 --RDaly Bug --R Cannot find a definition or applicable library operation named --R polylog with argument type(s) --R PositiveInteger --R Polynomial(Integer) --R --R Perhaps you should use "@" to indicate the required return type, --R or "$" to specify which version of the function you need. --E 457 --S 458 of 460 a0391:= integrate(t0391,x) --R --R --R x --R ++ %R log(- %R b - a + 1) --R (2) | ---------------------- d%R --R ++ %R b + a --R Type: Union(Expression(Integer),...) --E 458 --S 459 of 460 --m0391:= a0391-r0391 --E 459 --S 460 of 460 --d0391:= D(m0391,x) --E 460 )spool )lisp (bye) \end{chunk} \eject \begin{thebibliography}{99} \bibitem{1} Albert D. Rich ``Rule-based Mathematics'' \verb|www.apmaths.uwo.ca/~arich| \end{thebibliography} \end{document}