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Fourier series - question

  1. May 19, 2012 #1
    The problem statement, all variables and given/known data
    f(x) = |sin x|, -pi < x < pi, f(x) = f(x + 2pi)

    Determine the Fourier series of f(x)

    The attempt at a solution
    I am unsure how to evaluate an integral with absolute signs in it, however, I am wondering if I could reduce the bounds to 0<x<pi and and f(x) = sin x and assume an even function extension (cosine extension). When I sketch these I obtain the same graph.

    Am I able to do this?
     
    Last edited: May 19, 2012
  2. jcsd
  3. May 19, 2012 #2

    vela

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    Yes.
     
  4. May 19, 2012 #3
    :) Thank you
     
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