Integrating: [tex]/frac{exp(ikx)}{k^2+a^2}[/tex]

[VatanparvaR]

Plz, help to integrate this:

/int_{-/infinity}^{+/infinity}dk /frac{exp(ikx)}{k^2+a^2}[ /tex ]

 

[Hurkyl]

(1) Ask homework questions in the homework forum.
(2) This is a help forum, not an answer forum. You need to indicate what you've already tried, or what thoughts you've had on the problem.

 

[VatanparvaR]

(1) Ask homework questions in the homework forum.
(2) This is a help forum, not an answer forum. You need to indicate what you've already tried, or what thoughts you've had on the problem.

What I think is that it is a divergent integral. But it is given in the book. So, maybe it has any physical meaning ?!

 

[Dick]

What I think is that it is a divergent integral. But it is given in the book. So, maybe it has any physical meaning ?!

I just answered a similar question yesterday. Here's the answer: "Set up a contour integral and use the residue theorem." It's not divergent.