# Contour Integration & Cauchy Theorem

Please show all your work.

Find the possible values of:

(Please see the attached file for the complete problem description).

Where (please see the attached file) is a closed contour not passing through (please see the attached file)

Thanks

https://brainmass.com/math/complex-analysis/contour-integration-cauchy-theorem-581403

#### Solution Preview

Hello and thank you for posting your question to BrainMass.

(Please see the attached file for the complete solution).

111Equation Chapter 1 Section 2

If the domain D is defined by a simple curve Y, then Cauchy's residue theorem states that:

(please see the attached file) (2.1)

In our case:

(please see the attached file) (2.2)

We see that there are ...

#### Solution Summary

This solution shows how to apply the Cauchy theorem to a simple integral. Attached as Word and PDF.

$2.19