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

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Jean-Michel Collard

Posts: 41
Registered: 12/8/04
Re: integral for fun
Posted: Feb 28, 2014 10:25 AM
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Le 28/02/2014 15:32, Jonas Matuzas a écrit :
> I wrote integral in Mathematica:
> Integrate[Cos[x]^4/(1 + x^8), {x, -\[Infinity], \[Infinity]}]
> for fun,( for speed compassion between win7 and Linux (actual I found that in Linux 4x faster with more simple integrals ))
> and... This integral is still calculating, it is already passed 1.5 day , I am getting curios ... I am gonna to leave it for weekend in work place . My computer is almost front end- (i7 4770, 16 GB RAM), integral is running on Linux.
> I am a bit lazy but I think this integral can by taken with pencil and paper using residual theory.
> I find publication is talking about similar problem , and writing that in this case residual theory is not complete..:
> http://www.csm.ornl.gov/~bowman/fjts312.pdf
> What do you think - is it connected with so long calculation time.
> Do you have some thoughts about this case?
> I am just curios :)

Try NIntegrate and you will have the answer in less than a second.

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