How can i solve this Fourier Transform question?

[aligator123]

How can i solve this Fourier Transform question?

Homework Statement

f(t)= a/((a^2)+(t^2)) if a>0 find the Fourier transform

Homework Equations

Just give me a hint to solve or first step for solving. Then i will solve.

The Attempt at a Solution

Thanks for help.

 

[Dick]

Ok. Set up a contour integral and use the residue theorem.

 

[aligator123]

ok but anyone can give more hints and details?