From: nma@12000.org   
      
   On 4/15/2017 11:41 AM, clicliclic@freenet.de wrote:   
      
   > I am not surprised that Maxima too isn't perfect :). Sympy would be   
   > another candidate to check.   
   >   
   > Martin.   
   >   
      
   Fyi;   
      
   sympy 1.0   
   =========   
   >python   
   Python 3.6.0 |Anaconda 4.3.1 (64-bit)| (default, Dec 23 2016, 12:22:00)   
   [GCC 4.4.7 20120313 (Red Hat 4.4.7-1)] on linux   
   >>> from sympy import *   
   >>> x=symbols('x')   
   >>> integrand=log(x)*log(x**2)   
   >>> sol=integrate(integrand,x)   
      
        2*x*log(x)**2 - 4*x*log(x) + 4*x   
      
   >>> integrand_back=diff(sol,x)   
      
        2*log(x)**2   
      
   >>> simplify( integrand_back-integrand)   
      
       (2*log(x) - log(x**2))*log(x)   
      
   Maple 2016.2   
   ============   
      
   restart;   
   integrand:=ln(x)*ln(x^2);   
   sol:=int(integrand,x);   
      
       ln(x)*ln(x^2)*x+4*x-2*x*ln(x)-x*ln(x^2)   
      
   integrand_back:=diff(sol,x);   
      
        ln(x)*ln(x^2)   
      
   simplify( integrand_back-integrand);   
      
        0   
      
   --Nasser   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)