Evaluate where n is a positive integer, and C is the unit circle with the coutnerclockwise orientation.
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Originally Posted by terr13 Derive I think you mean anyway if you use keyhole contour you get: where
Originally Posted by terr13 Evaluate Notice that .
Let then the poles are when . One is easy the other is when and that happens for . Since we require (we are inside the disk) it means .
Now with so .
Thus, the integral is
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