Albert Rich schrieb:   
   >   
   > As Martin pointed out, when m=0 and n=1 or when m=2 and n=3 these   
   > integrals are pseudo-elliptic.  However for other even values of m,   
   > the optimal antiderivatives do seem to require a single, simple   
   > elliptic term.  Do you concur?   
      
   I suppose this is most easily answered by means of a capable algebraic   
   Risch integrator.   
      
   >   
   > As far as properly citing Euler, Legendre et al as the source of   
   > individual rules in Rubi, I will leave that up to math history   
   > scholars able to read the original texts.   
   >   
      
   They will find both the Latin original and an English translation of   
   E695 at the Euler Archive:   
      
        
        
      
   Martin.   
      
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