# Math Help - Inverse Laplace transform check

1. ## Inverse Laplace transform check

So i have to determine the inverse transform of

-3s/((s+2)^2+1)

Using linearity and s-shifting and know transform for cos(wt)

I came out with

-3*exp(-2t)*cost

Is this correct?

I am unsure about the 's' in the numerator, not also being 'shifted', should i be using partial fractions?

2. ## Re: Inverse Laplace transform check

Its okay i solved it via a bit of algebraic manipulation.

3. ## Re: Inverse Laplace transform check

Playing around with WolframAlpha is a good way to check your answer.