find the Laplace transform of the given function. f(t)={(t, 0\leq t <1),(2-t, 1\leq t <2),(0, 2\leq t < \infty):}

find the Laplace transform of the given function.
$f\left(t\right)=\left\{\begin{array}{ll}t,& 0\le t<1\\ 2-t,& 1\le t<2\\ 0,& 2\le t<\mathrm{\infty }\end{array}$

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Given function is