How to solve fourier series integrals

Discussion in 'Math' started by gutto@Mac, Nov 26, 2007.

  1. gutto@Mac

    Thread Starter New Member

    Nov 26, 2007
    1
    0
    Ive tryin to solve the fourier series integrals but they are really confusing.....
    when we find "an" and "bn" we solve integrals how do we solve them completely to get the answer...my book has only shown the an formula deivation and then it says
    "by long integration we got following answer...."
    Any tips on that
     
  2. Papabravo

    Expert

    Feb 24, 2006
    10,145
    1,791
    There are two tools that are handy in integration:
    1. Integration by Parts
    2. Trigonometric Identities
    My favorite is
    cos(n+1)θ + cos(n-1)θ = 2cos(θ)cos(nθ)
     
  3. mogadeet

    Member

    May 1, 2007
    19
    0
    hey gutto

    the proof in your book isn't exactly incomplete: phoned-in, maybe. the thing is, the derivations for the sine coefficients and for the cosine coefficients are formally almost identical. the only difference is the obvious one (one talks about the sine function while the other talks about the cosine function). try adapting the proof you've got in the most obvious way and see if it doesn't work. i threw out my notes on this but i can puzzle it out again if you're really curious.

    peace
    stm
     
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