Recent content by AppleFritters

Homework Statement I'm given the following function f(x) = \begin{cases} x &-2<x<2\\ f(x+4) &\mbox{otherwise} \end{cases} And I'm asked to find the Fourier sine series. Then I'm supposed to use Parseval's theorem to obtain a certain sum. Homework Equations Since I have a sine Fourier...

That was such a silly mistake. I kept reworking this problem so many times because of this simple mistake. Thank you so much

Homework Statement I'm trying to solve this definite integral using the residue theorem: \int _0^\pi \frac{d \theta}{ (2+ \cos \theta)^2} Homework Equations I got the residue theorem which says that \oint_C f(z)dz = 2 \pi i \ \ \text{times the sum of the residues inside C}...