Question

Find the inverse Laplace Transform
F(s)= (3s+9)/(s^2+s+3)

Answer 1

\[f(t)=3 e ^{-t/2}\cos[(\sqrt{11}/2)t] + (15/\sqrt{11}) e ^{-t/2} \sin[(\sqrt{11}/2)t)\]
a bit tricky to solve, let me know if this is correct.