how do you derive the laplace transform for t^2 sin(3t)?

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- Dec 17th 2008, 12:46 AMAmyZhengLaplace trnasform, Final in 4hours! please help!
how do you derive the laplace transform for t^2 sin(3t)?

- Dec 17th 2008, 12:52 AMMush
$\displaystyle \mathcal L (t^2 sin(3t)) = \int_0^{\infty} t^2sin(3t)e^{-st} dt $

I'm afraid it's a rather long and boring integration by parts. - Dec 17th 2008, 03:00 AMmr fantastic