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|    sci.math.symbolic    |    Symbolic algebra discussion    |    10,432 messages    |
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|    Message 8,503 of 10,432    |
|    Richard Fateman to Axel Vogt    |
|    Re: integral for fun    |
|    28 Feb 14 13:29:20    |
   
   From: fateman@cs.berkeley.edu   
      
   On 2/28/2014 1:00 PM, Axel Vogt wrote:   
   > On 28.02.2014 18:55, Axel Vogt wrote:   
   >> On 28.02.2014 15:32, Jonas Matuzas wrote:   
   >>> I wrote integral in Mathematica:   
   >>> Integrate[Cos[x]^4/(1 + x^8), {x, -\[Infinity], \[Infinity]}]   
   > ...   
   >>   
   The free program Maxima computes this integral (a mess) in 2.68 seconds   
   on my 7 year old computer. Evaluating it to a 40-digit precison number   
   gives appx   
   1.138911319801756364346365520822589787737 plus an imaginary part that   
   seems to be about one unit in the last place of the computation...   
   which can be recomputed to a higher precision to check.   
      
   This agrees with the NIntegrate from Mathematica version 9   
   to about 13 digits.   
      
   RJF   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)   
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