1
$\begingroup$

I need to find $\int\limits_0^t e^{\alpha t}\sin(\omega t)\,\mathrm dt$. I'd like to know whether it can be brought into some closed form expression. Please suggest me some hints to solve this.

  • 1
    this should help: http://math.stackexchange.com/questions/19796/name-of-this-identity-int-e-alpha-x-cos-beta-x-frace-alpha-x-alp2011-04-23

3 Answers 3

5

This is the imaginary part of a similar integral that is easy to compute.

  • 0
    @Carl : Now I am getting the same, thank you.2011-04-23
2

Integration by parts may help.

0

I would suggest to use $\sin \omega t = \frac{1}{2 i}\left(e^{i\omega t} - e^{-i\omega t}\right)$.