Find the Laplace transform of the periodic function $f(t)$ whose graph is given below.
(Click on graph to enlarge)
$\displaystyle F(s) = {\mathcal L}\left\lbrace f(t) \right\rbrace =$ $\displaystyle \cdot \Bigg( \int_0^2$ $\displaystyle + \int_2^3$ $\displaystyle + \int_3^4$ $\displaystyle \Bigg)$

$\displaystyle \phantom{F(s) = {\mathcal L}\left\lbrace f(t) \right\rbrace} =$ help (formulas)