Originally Posted by

**jmedsy** I'm asked to find the Laplace transform of $\displaystyle f(t)=\dfrac{sin(t)}{t}$.

I begin by applying the definition to the function:

$\displaystyle

F(s) = \int_0^{\infty}e^{-st} \dfrac{sin(t)}{t}~dt

$

I'm getting the feeling that I need to use integration by parts, but I'm having a hard time identifying good choices for $\displaystyle u$ and $\displaystyle dv$

Please advise.

note: I will continue to add more troublesome Laplace transform problems to this thread as I encounter them.