Find the Laplace transform $F(s) = {\mathcal L}\left\lbrace f(t) \right\rbrace$ of the function $f(t) = e^{2t}\cos\!\left(6t\right)$, defined on the interval $t \geq 0$.

$\displaystyle F(s) = {\mathcal L}\left\lbrace e^{2t}\cos\!\left(6t\right) \right\rbrace =$ help (formulas)