From: didier.oslo@hotmail.com   
      
   On Thursday, 8 March 2018 16:00:37 UTC+1, did  wrote:   
   > With Rubi 4.14.7 on MMA 11.1.0, I cannot get the antiderivative:   
   > Int[JacobiDN[x, m]^2 - EllipticE[m]/EllipticK[m], x]   
   > and I get instead:   
   > -((x EllipticE[m])/EllipticK[m]) + Int[JacobiDN[x, m]^2, x]   
   >   
   > I expected the result:   
   > JacobiZeta[x, m]   
   >   
   > How could I get it?   
   > (Integrate can do it, but returns a complicated result.)   
   >   
   > Actually, I have to compute a bunch of antiderivative  of that type   
   > (products of Jacobian elliptic functions). MMA produces useless   
   > complicated results (when it works), so I was expecting that Rubi   
   > would be more helpful.   
   >   
   > Thanks for advises.   
      
   Correction:   
   I was expecting   
   JacobiZeta[JacobiAmplitude[x, m], m]   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)