Question

Find the laplace transform of sin (alpha)t.

Answer 1

Using the definition of the transform? I would think so, since there's a formula for this on the table.

Answer 2

Integrate by parts.
\[\mathcal{L}\left\{\sin \alpha t\right\}=\int_0^\infty \sin\alpha t~e^{-st}~dt\]

Answer 3

I don't want to use the integral to find it. Just looking at the table, what's the answer?

Answer 4

\[\frac{\alpha}{s^2+\alpha^2}\]

Answer 5

Got it, thanks. I was suspicious of the answer.