The Laplace transform of the periodic function $f(t)$ described by the curve below, i.e. $f(t)=\left\{\begin{array}{c}\sin t \text { if }(2 n-1) \pi \leq t \leq 2 n \pi(n=1,2,3, \ldots) \\ 0\end{array}\right.$

otherwise is $\dots$