(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Show that

integral from 0 - > infinity (cos(alpha*x)/(alpha^2 + 1))dalpha = (pi/2)exp(-x)

2. Relevant equations

3. The attempt at a solution

cos(alpha*x) = (1/2)(exp(i*alpha*x)+exp(-i*alpha*x))

Really don't know where to go from here.

**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!

# Homework Help: Evaluate Fourier Integral

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