Where's my mistake? Laplace Transforms

[jegues]

Homework Statement

Find the inverse laplace transform. (see figure attached for question as well as my attempt)

Homework Equations

The Attempt at a Solution

I came up with a different answer than the given solution, and I can't figure out where I went wrong.

We are given a table of common Laplace transforms and can refer to them without proof.

I've got a feeling I made a mistake just because of how my partial fractions decomposition came out, it just doesn't make any sense.

Thanks again!

EDIT: I found my mistake in my partial fractions decomposition. A+B = 0, B = -1, C=0

 

[Coto]

Your partial fractions are wrong. You said $A=1, B=C=0$, but plugging those values in, you get,
$$\frac{1}{s(s^2+1)} = \frac{A}{s} + \frac{Bs+C}{s^2+1} = \frac{1}{s}$$,

which isn't quite true.

Edit: Sorry, I didn't see your edit :).