From: nma@12000.org   
      
   fyi, here is another what looks like a bug in Trager   
      
   int((1+2*x+3^(1/2))/(1+2*x-3^(1/2))/(-1+4*x^4-4*3^(1/2)*x^2)^(1/   
   ),x,method=Trager)   
   Error, (in IntegrationTools:-Indefinite) invalid argument for sign, lcoeff or   
   tcoeff   
      
   int((1+2*x+3^(1/2))/(1+2*x-3^(1/2))/(-1+4*x^4-4*3^(1/2)*x^2)^(1/   
   ),x,method=_DEFAULT)   
      
   sqrt(1 - (-4 - 2*sqrt(3))*x^2)*sqrt(1 - (-2*sqrt(3) + 4)*x^2)*EllipticF(x*(I +   
   sqrt(3)*I), sqrt(1 - sqrt(3)*(-2*sqrt(3) + 4))*I)/((I + sqrt(3)*I)*sqrt(4*x^4   
   - 1 - 4*sqrt(3)*x^2)) + 2*sqrt(3)*(-1/4*arctanh(1/2*(-4*sqrt(3)*(1/2*sqrt(3) -   
   1/2)^2 - 2 - 4*   
   sqrt(3)*x^2 + 8*x^2*(1/2*sqrt(3) - 1/2)^2)/(sqrt(4*(1/2*sqrt(3) - 1/2)^4 -   
   4*sqrt(3)*(1/2*sqrt(3) - 1/2)^2 - 1)*sqrt(4*x^4 - 1 - 4*sqrt(3)*   
   ^2)))/sqrt(4*(1/2*sqrt(3) - 1/2)^4 - 4*sqrt(3)*(1/2*sqrt(3) - 1/2)^2 - 1) -   
   1/2*sqrt(1 - (-4 - 2*sqrt(3))*x^2)*   
   sqrt(1 - (-2*sqrt(3) + 4)*x^2)*EllipticPi(sqrt(-4 - 2*sqrt(3))*x, 1/((-4 -   
   2*sqrt(3))*(1/2*sqrt(3) - 1/2)^2), sqrt(-2*sqrt(3) + 4)/sqrt(-4 -   
   2*sqrt(3)))/(sqrt(-4 - 2*sqrt(3))*(1/2*sqrt(3) - 1/2)*sqrt(4*x^4 - 1 -   
   4*sqrt(3)*x^2)))   
      
   Maple 2021.1, windows 10.   
      
   --- SoupGate-Win32 v1.05   
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