From: &noreply@axelvogt.de   
      
   On 28.02.2014 22:29, Richard Fateman wrote:   
   > 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   
      
   Maple 17 actually gives it 'immediately' in terms of hypergeometric 0F7   
   (and your numerical value)   
      
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