I have a piecewise function that I need to calculate the complex Fourier series for.
It is for the function $f(x)$ that is 1 on $[-\pi/2,\pi/2]$ and zero elsewhere on $[-\pi,\pi]$
I calculated $c_0$ to be 0 and $c_n=\frac{-1}{2\pi in} *e^{inx}\bigg\rvert_{-\pi/2}^{\pi/2}$
I'm not sure where to go from here, the question also requires me to define the series as g(x) and evaluate $g(3\pi/2)$