Help with an integral

Discussion in 'Math' started by jaygatsby, Jan 26, 2013.

  1. jaygatsby

    Thread Starter New Member

    Nov 23, 2011
    185
    23
    I am evaluating a Fourier transform, without tables, and need to evaluate this integral:

    <br />
 \int e^{-t} * sin(2 \pi f_c t) *     e^{-j2 \pi ft} dt<br />

    I have tried two methods: 1) integration by parts, and 2) integration after expressing the sine function as a complex exponentials. I get stuck in both cases.

    The asterisks are there to assist with clarity of spacing. Thanks for any help you can provide,
    J
     
  2. jaygatsby

    Thread Starter New Member

    Nov 23, 2011
    185
    23
    Thanks.......
     
  3. Readro

    New Member

    Jan 8, 2013
    7
    1
    I'd imagine that you'd have to do integration by parts twice. Let I represent the integral that you're trying to calculate. Then you'd probably end up with something like I = f(t) + nI, where f is some function of t and n is a real number. You can then easily solve for I.

    This is just a quick idea, I haven't got time at the moment to solve this fully.
     
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