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## 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 ...