Complex Integral Homework: Solve Analytically

[singhofmpl]

Homework Statement

I'm studying the non-linear effect of power amplifier on multicarrier siganl. I have come across an complex integral which is given below, but not able to figure out how to solve it analytically.

Homework Equations

$$I=\frac{A^2}{2\sigma_x^4}\int_{0}^{\infty}\frac{r^3}{r^2+A^2}\exp(\frac{j\pi}{3}\frac{r^2}{r^2+A^2}-\frac{r^2}{2\sigma_x^2})dr$$

Please help me solve this integral.

 

[lanedance]

have you considered the method of residues?