- #1

freechus9

- 9

- 0

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!