Calculating residues are useful when we are trying to solve some improper integral, because the Cauchy principal value will be the sum of residues inside the path taken (if the integral along the complex path tends towards 0).(adsbygoogle = window.adsbygoogle || []).push({});

When we have a proper integral of trigonometric functions, this is useful too.

But in general, are residues useful calculating proper integral?

It would be nice if I could apply the power of residues to evaluate an integral involving rational functions.

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# Are residues useful for proper integrals?

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