How do I do a Fourier integral (and whats the point of them??)(adsbygoogle = window.adsbygoogle || []).push({});

I've been asked to evaluate

[tex]F(\omega) = \frac{1}{\sqrt{2\pi}}\int dte^{-\alpha t}cos\omega t[/tex]

and I've not the foggiest idea what to do. I thought I could just go about doing in the integral by parts (limits are 0 and infinity by the way), but on further research I don't think I can do that can I?

**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!

# Fourier Intergrals and transforms

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