From: didier.oslo@hotmail.com   
      
   On Friday, 9 March 2018 09:35:11 UTC+1, Albert Rich  wrote:   
   > On Thursday, March 8, 2018 at 5:00:37 AM UTC-10, 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.   
   >   
   > Sorry, Rubi does not currently have rules for integrating the various   
   elliptic functions. Perhaps someone would like to contribute a package of   
   integration rules for them.   
   >   
   > Albert   
      
   Thanks for the reply.   
   I would like to contribute, but I am not at all competent for that.   
      
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