Inverse Laplace Transform of (2s+1)/(s^2+16)

[MasterWu77]

Homework Statement

Determine the inverse Laplace transform of the given function

F(s) = (2s+1) / (s^2 + 16 )

Homework Equations

the LaPlace transform of different functions

The Attempt at a Solution

I divide the above equation into 2 fractions one with the 2s in the numerator and the other fraction with the 1 in the numerator. I know what the inverse Laplace transform of the 2s is but not what the (1) / (s^2+16).

 

[Mark44]

The inverse Laplace transform of 1/(s^2 + a^2) is (1/a)sin(at).