Easy# Help Joe to Finish the Decomposition

DIFFEQ-OWQKSN

Joe wants to take the inverse Laplace Transform of:

$$\frac{s^4+s^3+s^2+s+2}{(s+1)(s^2+1)}$$

He knows that the partial fraction decomposition should be taken first, but he has trouble doing it. Can you help him find the partial fraction decomposition?