# Thread: Inverse Laplace Transform through Convolution

1. ## Inverse Laplace Transform through Convolution

Hi, guys.
Please I need help for this inverse Laplace transform, the method requested is convolution.

$L^{-1}\left\{{\displaystyle\frac{s}{(s^2 + 4)^2}}\right\}$

2. Originally Posted by timh
Hi, guys.
Please I need help for this inverse Laplace transform, the method requested is convolution.

$L^{-1}\left\{{\displaystyle\frac{s}{(s^2 + 4)^2}}\right\}$
$\mathcal{L}^{-1}\left\{\frac{s}{(s^2+4)^2}\right\}=\cos(2t)*\tfr ac{1}{2}\sin(2t)$.

Can you carry out the convolution process?

3. In the process of convolution is where I have problems because at eval the integral from 0 at t, the value becomes 0. I integrate by parts.
Greets.