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Few months back my friend called me to help him (and his whole class!) finding the Laplace Transform of [tex]\sin \sqrt{t}[/tex].

Since then I found myself wasting hours and days (even before non-mathematics exams!) trying to solve the problem. I also checked the provided answer by online mathematica (wolfram alpha) and found it to be correct.

One of the most apparent way is to use Euler's formula, it does not work, however. I don't even remember the different ways I tried.

When my friend asked his instructor (who gave him the problem), he was quick to suggest the use of series expansion, the method I personally dislike.

Is there no other better way???

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# Laplace Transform of

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