Hi, I am having some difficulties integrating the following expression..(adsbygoogle = window.adsbygoogle || []).push({});

[tex]\int\int\left(\frac{k}{\pi}\right)^2 \frac{1}{k^2+\omega'^2}\frac{1}{k^2+\omega^2}e^{-i\omega'\tau}e^{i\omega\tau}d\omega d\omega'[/tex]

I've tried by part but it doesn't look like it's going to give me the right answer which is

[tex]e^{-2k|\tau|}[/tex]

Omega and Omega primed can be integrated from -infinity to infinity ... if that helps

Any ideas?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Integrating this double integral

**Physics Forums | Science Articles, Homework Help, Discussion**