- #1
Jalo
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Homework Statement
Find the cosine Fourier transform of the function f(t)=e-at
Homework Equations
The Attempt at a Solution
F(w)=(2/π)0.5∫dt e-atcos(wt)
The integral is from 0 to +∞
Using euler's formula I got the result
F(w)=(2/π)0.5( eit(w-a)/i(w-a) - e-it(w+a)/i(w+a) )
I don't know what to do from here... I can't just substitute!
If anyone could point me in the right direction I'd appreciate!