- #1

- 986

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## Homework Statement

Find ∫(e

^{z}+cos(z))/z dz integrated over C

_{1}(0)

## Homework Equations

**Theorem 6.10 (Cauchy's integral formula)**

Let f be analytic in the simply connected domain D and let C be a simple closed positively oriented contour that lies in D. If z

_{0}is a point that lies interior to C, then

f(z

_{0}) = 1/2πi ∫f(z)/(z-z

_{0}) dz

## The Attempt at a Solution

So the answer is 4πi, which is of course what you obtain if you invoke Cauchy's integral formula. But our function isn't analytic inside the region over which we're integrating. (???)

http://www.myfacewhen.net/uploads/309-wtf-man.jpg