Hello, I am working on a problem and I have to solve a nasty integral. The problem is that I am not sure if the method I am using is correct.(adsbygoogle = window.adsbygoogle || []).push({});

The integral I need to solve is:

[itex]\int[/itex][itex]^{\infty}_{-\infty}[/itex][itex]\frac{e^{ikx}dk}{\sqrt{k^2 + a} - (b\pm i\lambda)}[/itex]

At this point, I have tried multiplying the top and bottom by [itex]\sqrt{k^2 + a} + (b\pm i\lambda)[/itex] and continuing forth by splitting into partial fractions and using the Cauchy residue theorem, but I am not sure if this is a valid way to solve this.

If anyone has any insight I would be more than indebted! Thank you so much!

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