Help with an integral

Thread Starter


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

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

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,


Joined Jan 8, 2013
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.