# Residue theorem to solve integration

1. May 1, 2012

### Elsasw

Hi all, i have an integral equation of

∫1/[(z+ia)^2 *(z-ia)]*exp(-p^2[(A+iBz)/(C(z^2+a^2))])*exp(-ikbz)dz

from the limit of 0 t0 l

I tried perform residue theorem but due to the 1/[(z+ia)(z-ia)] factor in the exponential term complicated it...I also tried incorporate L'Hopita rules in the exp term. I did manage to solve it but did not seems to be right because when i plotted in with Matlab, the plot is not correct. Perhaps my approach is wrong.

Need advise to solve this again.
Thank you
1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

2. May 1, 2012

### HallsofIvy

Staff Emeritus
What contour were you using?

3. May 1, 2012

### Elsasw

Contour? Does this referred to residues at z=ia and z=-ia?