From: fateman@cs.berkeley.edu   
      
   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);   
      
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