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integrate

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integrate

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integrate

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ratsimp

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integrate

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integrate

p(x):=x/(x^(2)+1);

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ratsimp-solve-subst

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solve([(a*z+b)/(c*z+d...

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radcan

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ratsimp-solve

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a : in - out;

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[integrate,radcan,ratsimp,trigsimp]

Run Example
(%i1)A: integrate(x/(e^x),x);
                                            - log(e) x
                           (log(e) x + 1) %e
(%o1)                    - ---------------------------
                                        2
                                     log (e)
(%i2) ratsimp(A);
                                            - log(e) x
                           (log(e) x + 1) %e
(%o2)                    - ---------------------------
                                        2
                                     log (e)
(%i3) radcan(A);
                                  log(e) x + 1
(%o3)                           - ------------
                                    x    2
                                   e  log (e)
(%i4) trigsimp(A);
                                            - log(e) x
                           (log(e) x + 1) %e
(%o4)                    - ---------------------------
                                        2
                                     log (e)
(%i5) 
Run Example
A: integrate(1/(x*(x+1)^2),x);
                                                   1
(%o1)                    - log(x + 1) + log(x) + -----
                                                 x + 1
(%i2) ratsimp(A);
                    (x + 1) log(x + 1) + (- x - 1) log(x) - 1
(%o2)             - -----------------------------------------
                                      x + 1
(%i3) radcan(A);
                    (x + 1) log(x + 1) + (- x - 1) log(x) - 1
(%o3)             - -----------------------------------------
                                      x + 1
(%i4) trigsimp(A);
                    (x + 1) log(x + 1) + (- x - 1) log(x) - 1
(%o4)             - -----------------------------------------
                                      x + 1
(%i5) 
Run Example
A: integrate(1/((x^2-1)^2),x);
                      log(x + 1)   log(x - 1)      x
(%o1)                 ---------- - ---------- - --------
                          4            4           2
                                                2 x  - 2
(%i2) ratsimp(A);
                  2                         2
                (x  - 1) log(x + 1) + (1 - x ) log(x - 1) - 2 x
(%o2)           -----------------------------------------------
                                      2
                                   4 x  - 4
(%i3) radcan(A);
                  2                         2
                (x  - 1) log(x + 1) + (1 - x ) log(x - 1) - 2 x
(%o3)           -----------------------------------------------
                                      2
                                   4 x  - 4
(%i4) trigsimp(A);
                  2                         2
                (x  - 1) log(x + 1) + (1 - x ) log(x - 1) - 2 x
(%o4)           -----------------------------------------------
                                      2
                                   4 x  - 4
(%i5) 
[abs,assume,integrate,load,numer,radcan,romberg] [assume,define,exp,integrate,kill,min,ratsimp,sqrt,subst] [assume,diff,factor,integrate,log,ratsimp] [assume,diff,integrate,log,ratsimp] [assume,dim,integrate,log,ratsimp] [assume,integrate,log,ratsimp] [assume,integrate,ratsimp,subst] [atan,cos,integrate,ratsimp,sqrt] [atan,diff,integrate,ratsimp] [atan,logarc,logcontract,ratsimp,rectform,rhs,tan,trigsimp] [changevar,diff,integrate,ratsimp] [cos,declare,diff,halfangles,pi,radcan,solve,trigexpand,trigrat,trigsimp,true] [cos,diff,display2d,false,ratsimp,sin,solve,subst,trigsimp] [cos,diff,infinity,integrate,ratsimp,sin] [cos,diff,integrate,pi,ratsimp,sin] [cos,diff,integrate,pi,ratsimp] [cos,diff,integrate,plot2d,ratsimp,rhs,sin,solve] [cos,diff,integrate,ratsimp,sin] [cos,diff,integrate,ratsimp] [cos,diff,ratsimp,sin,subst,trigsimp] [cos,diff,ratsimp,sin,trigsimp] [cos,integrate,pi,ratsimp,sin] [cos,integrate,ratsimp,sin] [cos,integrate,ratsimp] [define,exp,float,imagpart,integrate,plot2d,ratsimp,subst] [diff,ev,integrate,ratsimp] [diff,factor,integrate,log,ratsimp,solve] [diff,factor,integrate,ratsimp,solve] [diff,factor,integrate,ratsimp] [diff,find_root,integrate,pi,plot2d,ratsimp] [diff,integrate,log,numer,ratsimp,solve,sqrt] [diff,integrate,plot2d,ratsimp] [diff,integrate,ratsimp,sin] [diff,integrate,ratsimp] [ev,integrate,ratsimp] [exp,integrate,ratsimp] [expand,float,radcan,ratsimp,sqrt,subst,sum,taylor] [factor,integrate,plot2d,ratsimp] [find_root,integrate,plot2d,ratsimp,sqrt,subst] [if,integrate,plot2d,radcan] [integrate,log,ratsimp,sqrt] [integrate,log,ratsimp] [integrate,plot2d,ratsimp,sqrt,subst] [integrate,radcan,ratsimp,trigsimp] [integrate,ratsimp,sin] [integrate,ratsimp,solve] [integrate,ratsimp,sqrt,subst] [integrate,ratsimp,sqrt,trigsimp] [integrate,ratsimp,sqrt] [integrate,ratsimp]

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