
Re: integral for fun
Posted:
Mar 1, 2014 8:12 AM


On Friday, February 28, 2014 5:25:57 PM UTC+2, JeanMichel Collard wrote: > 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.
I know that NIntegrate it will do in less then seconds. But this group is ...symbolic. Actually I do not need answer. This is my game. I will not help humanity to live better solving this integral. For me it is just curios  what mathematic is doing so long with a such simple integral ?! And what the answer would be after so long (days)calculation.

