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Math Help - fourier series

  1. #1
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    fourier series

    find the possible fourier expansion that will respect the following non-periodic function. 1 , 0 < t < 1/2
    f(t)={
    0 , 1/2 < t < 1
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by alderon View Post
    find the possible fourier expansion that will respect the following non-periodic function. 1 , 0 < t < 1/2
    f(t)={
    0 , 1/2 < t < 1
    What is the problem that you have with this? You need to evaluate the
    integrals:

    <br />
\int_0^1 f(x) \sin(2 \pi n x) dx=\int_0^{1/2} \sin(2 \pi n x) dx, \ \ n=1,2,..<br />

    and

    <br />
\int_0^1 f(x) \cos(2 \pi n x) dx=\int_0^{1/2} \cos(2 \pi n x) dx, \ \ \ n=0,1,2,..<br />

    then plug these into the relevant buts of the expansion.

    RonL
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