Hello!   
      
   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*(3-2*x)^(11/2)),x)   
      
   INT(1/((1+x+2*x^2)^10*(3-2*x)^(21/2)),x)   
      
   INT(1/((1+x+2*x^2)^20*(3-2*x)^(41/2)),x)   
      
   and:   
      
   INT(1/((1+x+2*x^2)^5*(3-2*x+x^2)^(11/2)),x)   
      
   INT(1/((1+x+2*x^2)^10*(3-2*x+x^2)^(21/2)),x)   
      
   INT(1/((1+x+2*x^2)^20*(3-2*x+x^2)^(41/2)),x)   
      
   Does Maple beat FriCAS? Does Rubi beat Mathematica?   
      
   Martin.   
      
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