For my research I am trying to solve a particular integral. I know that I have to transform it properly to use the residue theorem, but I am having difficulty attaining this form. Here is the integral:(adsbygoogle = window.adsbygoogle || []).push({});

[itex]\int^{\infty}_{-\infty}\frac{e^{ix}dx}{\sqrt{a - x^2 + ib}}[/itex]

where a and b are real constants. If you have any suggestions I would be more than grateful.

Thanks in advance.

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# Interesting contour integral

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