From: //noreply@axelvogt.de   
      
   On 18.07.2016 01:31, Richard Fateman wrote:   
   > On 7/17/2016 3:52 PM, Nasser M. Abbasi wrote:   
   >> On 7/17/2016 4:17 PM, Dr Huang wrote:   
   >>> what is result of integrate(x*f(x),x)=?   
   >>> wolfram, sagemath, sympy, integral calculator cannot. can your software ?   
   > sure.   
   >   
   > Maxima returns the result   
   > integrate(x*f(x),x)   
   >   
   > Looks right to me.   
   >   
   > now if you declare that the antiderivative of f(x) is F(x), then   
   > one can integrate(x*f(x^2),x)   
   > and get F(x^2)/2   
   >   
   > (This can be done by load(partition);   
   > intable[f] : lambda([u],  [F(u),diff(u,%voi)]);   
   > gradef(F(x),f(x));   
   > intfudu(x*f(x^2),x);   
      
   Maple's notation (D(f) = derivative of f):   
      
   int(x*D(f)(x^2),x);   
                                         2   
                                  1/2 f(x )   
      
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