Albert Rich schrieb:   
   >   
   > According to Mathematica, 1/(2*(1-x^2)^(1/4)) is the derivative of   
   > Elliptic[ArcSin[x]/2,2]. At the FriCASIntegration website   
   >   
   > \begin{axiom}   
   > setSimplifyDenomsFlag(true)   
   > integrate(1/(1-x^2)^(1/4), x)   
   > \end{axiom}   
   >   
   > is unable to find a closed-form antiderivative. So apparently FriCAS   
   > concurs it is elliptic.   
   >   
      
   While integrals returned unevaluated by FriCAS are thereby declared   
   non-integrable in elementary terms, occasional error exits or endless   
   computations have no such implication. One may then only rephrase the   
   integral and try again.   
      
   There have also been bugs causing integrals to be mistakenly returned   
   unevaluated; thus INT(x/((3*x^2 + 2*SQRT(3) - 3)*SQRT(x^3 - x)), x) was   
   declared non-integrable in elementary terms by FriCAS version 1.3.0 and   
   earlier.   
      
   Martin.   
      
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