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Fourier Series Problem

  1. Jan 9, 2017 #1
    Self Study
    1. The problem statement, all variables and given/known data

    Consider a periodic function f (x), with periodicity 2π,
    h3YE5bX.jpg
    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. jcsd
  3. Jan 10, 2017 #2

    ehild

    User Avatar
    Homework Helper
    Gold Member

    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?
     
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