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

Compute the following integral around the path S using Cauchys integral formula for derivatives:

[itex]\int[/itex]e^{z}/ z^{2}

Integral path S is a basic circle around origin.

Then, use the result to compute the following integral

[itex]\int[/itex] e^{cos (x)}cos(sin (x) - x) dx from 0 to ∏

2. Relevant equations

Cauchy integral formula: http://en.wikipedia.org/wiki/Cauchy's_integral_formula

3. The attempt at a solution

I was able to compute the first part and got 4∏i. But I'm stuck in second part. How I'm supposed to use the result I got in first part to compute the second? Any hint for me?

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# Homework Help: Using Cauchy integral formula to compute real integral?

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