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Evaluate the integral
Where γ is a circle centered at the origin with radius 2.
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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
© BrainMass Inc. brainmass.com December 24, 2021, 7:44 pm ad1c9bdddf>https://brainmass.com/math/complex-analysis/residue-formula-complex-variables-215187