1. ## Fourier transform

How do i go about finding the fourier transform of 1/(1+t^2) ?

I guess I'm suppose to integrate it from 0 to infinity, but it seems pretty hard: e^-j2pi*ft/(1+t^2) dt

2. Originally Posted by synnexster
How do i go about finding the fourier transform of 1/(1+t^2) ?

I guess I'm suppose to integrate it from 0 to infinity, but it seems pretty hard: e^-j2pi*ft/(1+t^2) dt
Shouldn't the integral go from –∞ to + ∞? In which case, you should be able to evaluate it by contour integration.