# Help finding ths Fourier transform

## Homework Statement

find the fourier transform of the following function in two ways , once using direct computation , and second using the convolution therom .

## Homework Equations

Acos(w0t)/(d2+t2)

## The Attempt at a Solution

I tried first to solve directly . used Euler's identity and got
∫e-it(w0+w)/(d2+t2) + ∫eit(w0-w)/(d2+t2)

but I think it was a deadend , unsolvable integral .

I got a hint from an internet source saying to use the Lorentzian transform but I am not familiar with it

then I tried going first from the convolution approach , which means I find the separate F transform of cos(w0t) and of 1/(d2+t2) and then calculate the convolution of them in order to get the FT of the multiplication oh them .

I couldn't do that as well because I didn't manage to integrate e-iwt/(d2+t2) and so can't find that fourier transform as well

any direction ,or explained hint would be greatly appreciated!

Last edited: