
integral for fun
Posted:
Feb 28, 2014 9:32 AM


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 :)

