Trying to find the Nth degree fourier polynomial of
f(x) =e^x for x between -pi to pi.
The Attempt at a Solution
I'm trying to calculate ak which is given by
1/∏ ∫e^x cos kx dx from -∏ to ∏
I'm getting stuck here trying to use integration by parts. The integral in integration by parts is basically recursive no matter what I set for u or dv.