(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Hey guys.

So, I need to calculate this integral. I uploaded what I tried to do.

First of all, did the substitute, then I tried to use the residue theorem so I was looking for the residue of z=0 which is happen to be a removable singular point so it's just 0, then I went for the z=2*pi*k (when k can't be 0) residue and found out that it's 0.

I guess I have a mistake there, any idea guys?

Thanks.

2. Relevant equations

3. The attempt at a solution

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# Complex analysis

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