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Topic: integral for fun
Replies: 25   Last Post: Mar 6, 2014 4:10 PM

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Jonas Matuzas

Posts: 8
Registered: 2/28/14
Re: integral for fun
Posted: Mar 1, 2014 8:15 AM
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On Friday, February 28, 2014 11:29:20 PM UTC+2, 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

about numeric answer look my post above



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