From: jonas.matuzas@gmail.com   
      
   On Friday, February 28, 2014 11:39:02 PM UTC+2, Axel Vogt wrote:   
   > 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)   
      
     it is interesting ...  Mathematics likes to give answer in Hypergeometrics   
   too, but why she is not doing in this case?   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)