1. The problem statement, all variables and given/known data Find the fourier transform of f(t) = 1 / (t^2 +1) 2. Relevant equations F(w) = Integral f(t) * e^-jwt dt 3. The attempt at a solution Hi guys, so I've been having problems trying to solve fourier transforms. It seems that slapping the e^-jwt makes it hard to integrate for me. Like for instance in the above problem my first instinct was to try and do it by Integration by parts with u = 1/(t^2 +1) and v = INT(e^-jwt) however, if you do it that way, you get stuck in a never ending loop of integration by parts since the u term doesn't "die off". In addition to the above problem, I've been having some trouble solving for Fourier transforms in general. The integration has been leaving me with scenarios like the one above and I just don't know what to do. Can someone offer me some guidance on how to tackle these sort of problems? Thanks, it's really appreciated!