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Fourier Series

  1. Nov 13, 2007 #1
    1. The problem statement, all variables and given/known data

    Find the term a2 in the following fourier seies:

    [4+5 (cos x )^2]^(1/2) dx= ao + a2 cos (2x) + a4 cos (4x)

    3. The attempt at a solution
    The only thing I can think about is transforming that to complex numbers but I am not completely sure...

    I know that a0 is supposed to be 3.966360

  2. jcsd
  3. Nov 14, 2007 #2


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    Staff Emeritus
    Science Advisor

    Is that an integral on the left side? Are you asked to write
    [tex]\int\sqrt{4+ 5 cos^2(x)} dx[/tex]
    as a Fourier series?
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