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What is the criterion for choosing a contour in the complex plane for the evaluation of real integrals of the form $\int_{-\infty}^{\infty}f(x)dx$? For example $\int_{-\infty}^{\infty}\sin{x^2}dx$.

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    $\begingroup$ There are techniques often used by people. You must decide whether the path you choose is easy to calculate. $\endgroup$ – eccstartup Aug 12 '13 at 10:31

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