Then I ducked my head and the lights went out,   
       and two guns blazed in the dark;   
     And a woman screamed, and the lights went up,   
       and two men lay stiff and stark.   
      
   How long does it take the popular integrators to evaluate the following   
   elementary indefinite integrals? Imagine them to appear in terms of some   
   series expansion:   
      
   INT(1/((1-x+2*x^2)^5*(2+x)^(11/2)*(3-2*x)^(1/2)),x)   
      
   INT(1/((1-x+2*x^2)^10*(2+x)^(21/2)*(3-2*x)^(1/2)),x)   
      
   INT(1/((1-x+2*x^2)^20*(2+x)^(41/2)*(3-2*x)^(1/2)),x)   
      
   and:   
      
   INT(1/((1-x+2*x^2)^5*(2+x)^(1/2)*(3-2*x)^(11/2)),x)   
      
   INT(1/((1-x+2*x^2)^10*(2+x)^(1/2)*(3-2*x)^(21/2)),x)   
      
   INT(1/((1-x+2*x^2)^20*(2+x)^(1/2)*(3-2*x)^(41/2)),x)   
      
   Derive fails to return closed solutions. Does Rubi beat FriCAS? Does   
   Maple beat Mathematica?   
      
   Martin.   
      
   PS: In case you want to look it up - the first round of "Who is fastest"   
   was posted on 27th March 2016.   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)