Compute the Laplace Transform of F(t) = 3 Sin(6t) - $\frac{18}{s^{2}-36}+\frac{-4 s}{s^{2}-36}, s>6$

Compute the Laplace transform of f(t) = 3 sin(6t) - 4 cos(6t) .

A) $\frac{18}{s^{2}-36}+\frac{-4 s}{s^{2}-36}, s>6$
B) $\frac{3 s}{s^{2}-36}+\frac{-4}{s^{2}-36}, s>6$
C) $\frac{18}{s^{2}+36}+\frac{-4 s}{s^{2}+36}, s>0$
D) $\frac{3 s}{s^{2}+36}+\frac{-4}{s^{2}+36}, s>0$