- #1

galactic

- 30

- 1

## Homework Statement

compute the integral:

[tex]\int_ {-\infty}^\infty \mathrm{e}^{ikx}\delta(k^2x^2-1)\,\mathrm{d}x[/tex]

## Homework Equations

none that I have

## The Attempt at a Solution

I don't actually have any work by hand done for this because this is more complex than any dirac delta integral I have done...I assume that we must break down the x^2 in the delta function because there would be 2 roots, and thus, 2 answers? I'm not totally sure how to start this problem and can't find anything on the internet like it.

I know the delta function (from finding the roots of x) occurs at [tex]x=-1/k[/tex] and [tex]x=1/k[/tex]. But not sure where to go from there