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Contour Integration & Cauchy Theorem

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

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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 ...

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