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    Evaluate the integral

    Where γ is a circle centered at the origin with radius 2.

    © BrainMass Inc. brainmass.com December 24, 2021, 7:44 pm ad1c9bdddf
    https://brainmass.com/math/complex-analysis/residue-formula-complex-variables-215187

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    Evaluate the integral

    Where γ is a circle centered at the origin with radius 2.

    Use the residue formula:

    where are the poles of f(z) contained in the interior of the bounded domain defined by γ.
    Here , which has poles at 0 et 1. The residues are:

    Therefore the integral equals

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    © BrainMass Inc. brainmass.com December 24, 2021, 7:44 pm ad1c9bdddf>
    https://brainmass.com/math/complex-analysis/residue-formula-complex-variables-215187

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