Please see attached file. Please show all steps in detail.
In the two problems below find the Fourier Cosine Transform of the given f(x) and write f(x) as a Fourier integral.
-1, -Pi <x<0
f(x) = 1, 0<x<Pi
0, |x| > Pi
f(x) = -2x+2a 0<x<a
Fourier cosine transforms are investigated.