... as promised last year (on Tue, 15 Nov 2016 23:04:20 +0100 in the   
   thread "FriCAS web interface failure") here are some pseudo-elliptic   
   integration exercises involving fourth roots. Does your favorite   
   integrator arrive at the elementary results?   
      
     INT((a + b*x)/((2 - x^2)*(x^2 - 1)^(1/4)), x)   
      
     INT((a + b*x)/((2 + x^2)*(1 + x^2)^(1/4)), x)   
      
     INT((3 + x^2)/((1 + x^2)*(1 + 6*x^2 + x^4)^(1/4)), x)   
      
     INT((3 - x^2)/((1 - x^2)*(1 - 6*x^2 + x^4)^(1/4)), x)   
      
   The integrals are taken from or based on papers by Euler dated to 26th   
   March 1777, which can be found as items E688 and E690 at the Euler   
   Archive , or on pp. 98-117 and 127-131 of   
   the Nova Acta Academiae Scientiarum Imperialis Petropolitanae IX (1795   
   for 1791).   
      
   Martin.   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)