Residue Theorem for Evaluation
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Use residue theorem to evaluate the attached.
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Solution Summary
This provides several examples of using residue theorem to evaluate integrals.
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The solutions are explained in the attached pdf file.
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centerline{bf Residue theorem}
bf 5 rm
The inregrand is bf even, rm so we can extend the integration to the whole X-axis:
$$
I = {1over 2}int_{-infty}^infty {cos 2xover 9x^2 + 4} dx
= Re l{ {1over 2}int_{-infty}^infty {e^{2ix} over 9x^2 + 4}dx r} =
$$
$$
= Re l{ {1over ...
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