# Contour Integrals, which contour to use?

## Homework Statement

http://img404.imageshack.us/img404/3952/contf.png [Broken]

## The Attempt at a Solution

Is there a set of rules or postulate that refer to which contour to use for specific integrals?
I tried to use the residue theorem for the first integral but I didn't get the right answer

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