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

Compute the contour integral I around the following curve $\Gamma$:

$ I = \int_\Gamma \dfraq{dz}{z^2 +1} $

see picture:

http://dl.dropbox.com/u/26643017/Screen%20Shot%202012-01-07%20at%2010.39.58.png [Broken]

2. Relevant equations

3. The attempt at a solution

$\Gamma$ is an open curve, but even if you close it with a line from A to B an the real axis, you may not use cauchy's theorem and calculate it with the residue theorem, because it is not a "smooth curve"...

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# Complex Analysis: countour integral

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