Hi, I am taking a random process class and I came across a problem that has stumped me. I believe I know the end result but I would like to know how it is solved. I have been out of college for a while and I am a little rusty with integration. 1. The problem statement, all variables and given/known data What I need is to find out the inverse Fourier transform of S(ω)=1/((1+ω^2)^2) 2. Relevant equations I know that F^-1(S(ω)) = 1/(2∏) * ∫(S(ω)*e^(j*ω*t), ω,-∞,∞) where j is an imaginary number. → F^-1(S(ω)) = ∫(1/((1+ω^2)^2)*e^(j*ω*t), ω,-∞,∞) 3. The attempt at a solution I tried to solve it using by parts, but it got very messy and I may be heading the wrong path. This is what I did: u = (1+ω^2)^-2 du = -4*ω*(1+ω^2)^-3 dv = e^(j*ω*t) v = e^(j*ω*t)/(j*t) I plugged it in to the by parts equation and I felt like going on wouldn't help. I would appreciate any help. Thanks.