Laplace Transform Determination/Direct Method

Solution Technique for Laplace Transform
To find the Laplace transform of a function $f$, one can evaluate it directly from the definition:
 * $\laptrans {\map f t} = \displaystyle \int_0^{\to \infty} e^{-s t} \map f t \rd t$

whenever the primitive of $e^{-s t} \map f t$ can be evaluated.