Assignment:
In the two problems below find the expotential Fourier Transform of the given f(x) and write f(x) as a Fourier integral.
f(x) = {2x+2a -a
-2x+2a 0
0 |x|>a
The Fourier is of the type
1/(2*Pi) ∫ f(x)*e^-iωx dx
Please do this problem manually (without tables) and please show all work including integrations.