First off, I hope these images show up - I don't have time to figure out this latex stuff atm, so it's easier just to throw the formulae together in openoffice.(adsbygoogle = window.adsbygoogle || []).push({});

I'm working on the Laplace Transform for

http://home.directus.net/jrc748/f.gif [Broken]

Which is obviously

http://home.directus.net/jrc748/l1.gif [Broken]

Now, in case somebody brings it up, I know that we can look up the answer in the table of basic Laplace transforms as

http://home.directus.net/jrc748/l2.gif [Broken]

But if I could get off that easy, I wouldn't be asking this question, would I? ;)

My main problem is that I'm fairly rusty on integration, so I'm probably missing something small. I'd picked out

http://home.directus.net/jrc748/uv.gif [Broken]

and was attempting the tabular method, but I'm not getting anywhere. It's looking to me like no matter what you pick for u or dv you'll be doing integration by parts forever, since you're stuck with e^t and sin.

Just need some hints to kick start the thought process.

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# Integration by parts (Laplace transform)

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