# Residue theorem

1. Feb 10, 2009

### asi123

1. The problem statement, all variables and given/known data

Hey guys.
So I got this integral I need to solve, of curse using the residue theorem.
The thing is, that I don't understand the curve.
I know that whenever Z^2 = integer, this function has a singularity point because e^(2*pi*i*n) = 1.
But again, I'm not sure what this curve has enclosed in.

Thanks.

2. Relevant equations

3. The attempt at a solution

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2. Feb 10, 2009

### HallsofIvy

This is, actually, an "infinite sequence" of problems! Each path is a circle, with center (0,0) of radius R which lies between $\sqrt{n}$ and $\sqrt{n+1}$ for each positive integer n. I suspect that you will find that the number of poles inside each path depends on n.