Example problem for the [[../02 Areas/Math/Laplace Transform|Laplace Transform]] for $f(t) = t^2$ $\huge \Laplace f(s) = \int_{0}^\infty f(t)e^{-st} \d t $ Substiting $f(t)$: $\huge \begin{align} f(t) &= t^2 \\ \Laplace f(s) &= \int_{0}^\infty t^{2} e^{-st} \d t \\ \end{align}$ We can then integrate by parts $ \begin{align} \end{align} $