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    Improper integral

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    I tried solve this problem by following Cauchy's Residue Theorem. However, the answer is always wrong.

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    Solution Preview

    Please see the attached file.

    If you use Cauchy Residue Theorem, it is impossible to get answer since is analytic function.

    Now I will give you a way to solve this improper integral. See the graph above, denote by A the ¼ circle with radius ...

    Solution Summary

    This provides an example of solving a given improper integral.