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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)
    Thanks

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

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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 ...

    Solution Summary

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

    $2.19