Laplace Transform

$F(s)={ℒ}\left\{1\right\}=\underset{0}{\overset{\mathrm{\infty }}{\int }}{e}^{-st}dt=$ $\frac{1}{s}$

$F(s)={ℒ}\left\{t^2\right\}=\underset{0}{\overset{\mathrm{\infty }}{\int }}{e}^{-st}{t}^{2}dt=$ $\frac{n!}{s^{n+1}}$