# Fourier Series Problem

Tags:
1. Jan 9, 2017

### Gopal Mailpalli

Self Study
1. The problem statement, all variables and given/known data

Consider a periodic function f (x), with periodicity 2π,

2. Relevant equations
$A_{0} = \frac{2}{L}\int_{X_{o}}^{X_{o}+L}f(x)dx$
$A_{n} = \frac{2}{L}\int_{X_{o}}^{X_{o}+L}f(x)cos\frac{2\pi rx}{L}dx$
$B_{n} = \frac{2}{L}\int_{X_{o}}^{X_{o}+L}f(x)sin\frac{2\pi rx}{L}dx$
3. The attempt at a solution
$A_{0} = C$
$A_{n} = 0$
$B_{n} = \frac{-C}{\pi r}cos\pi r$
http://imgur.com/a/4Q2oL

2. Jan 10, 2017

### ehild

Your
This post should have been sent to Calculus and Beyond Forum.

Your picture is hardly readable. Better to type the text in, or write it clearly and make a better picture.
The formula for the b coefficients is not correct. What happens in case of even index? What is b2, for example?