Find the inverse laplace transform of this function

[mingming]

Homework Statement

F(s) = 3/(s(s^2 +2s + 5))

Homework Equations

The Attempt at a Solution

I have used partial fraction using coefficients.

F(s) = (3/5)s - (3/5) ((s+2)/(s^2 +2s + 5))
and reduce s^2 +2s +5 by completing the square
F(s) = (3/5)s - (3/5) ((s+2)/((s+1)^2 + 4))
I am having trouble finding the right inverse laplace for the second term since (s+2) must be equal to (s+1) to apply the inverse laplace formula in the table...what should i do ...

 

[vela]

Use the fact that s+2 = (s+1)+1 and break that term into two terms.