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What is the value of the integral ʃ ez sinzdz/z2,  where the given integral is the integral over closed contour C. Contour C is the unit circle |z-2| = 1?

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Questioner: Swinky
Country: India
Category: Advanced Math
Private: No
Subject: Complex Analysis
Question: What is the value of the integral ʃ ez sinzdz/z2,  where the given integral is the integral over closed contour C. Contour C is the unit circle |z-2| = 1?
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It has been a long time since I did this, but I think you want:

http://en.wikipedia.org/wiki/Cauchy%27s_integral_theorem

So your integral is zero.

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