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   sci.math.symbolic      Symbolic algebra discussion      10,432 messages   

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   Message 9,818 of 10,432   
   Nasser M. Abbasi to All   
   what special about 18 in this integral?   
   22 Feb 18 00:46:35   
   
   From: nma@12000.org   
      
   How high a number "n" can your cas integrate this?   
      
           1/((1 + x^n)*(1 + x^2))   
      
   Fricas 1.3.2 and Rubi 4.14.7 go up to n=18. Then after that, they return   
   unevaluated.   
      
   Mathematica gives an answer for higher than 18, but the result after 18   
   is in terms of Root objects. I tried up to n=100.   
      
   Maple also can go higher than n=18, and it also gives results   
   in terms of RootOf. Tried up to n=200. So to remove these Roots, one has   
   to evaluate the answer numerically.  I assume this is why Rubi and   
   Fricas stop at n=18.   
      
   Any insight why 18 is the limit here? Is it due to some   
   factorization done, which after n=18 produces polynomials that   
   can't be solved exactly for higher order?   
      
   Just wondering, that is all.   
      
   thanks,   
   --Nasser   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)   

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