From: //noreply@axelvogt.de   
      
   On 27.03.2016 16:22, clicliclic@freenet.de wrote:   
   >   
   > 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.   
   >   
      
   memory used=36.50MiB, alloc change=66.00MiB, cpu time=843.00ms, real   
   time=858.00ms, gc time=31.20ms   
   memory used=32.44MiB, alloc change=36.00MiB, cpu time=764.00ms, real   
   time=749.00ms, gc time=93.60ms   
   memory used=51.56MiB, alloc change=8.00MiB, cpu time=952.00ms, real   
   time=951.00ms, gc time=0ns   
      
   memory used=42.21MiB, alloc change=32.00MiB, cpu time=936.00ms, real   
   time=921.00ms, gc time=93.60ms   
   memory used=0.66GiB, alloc change=320.00MiB, cpu time=10.16s, real time=9.41s,   
   gc time=1.45s   
      
      
   The last one exceeded my patients.   
      
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