Use Definition $7\mathrm{.}1\mathrm{.}1.$DEFINITION $7\mathrm{.}1\mathrm{.}1$ Laplace TransformLet f be a function defined for t $0.$ Then the integral$\{$f$($t$)\}=$ estf$($t$)$ dt$0$is said to be the Laplace transform of f$,$ provided that the integral converges.Find $\{$f$($t$)\}.($Write your answer as a function of s$.)$f$($t$)=$ t$,0$ t $<11,$ t $1$