The Laplace transform of a function fff is defined as follows.
L{f(t)}:=∫0∞e−stf(t)dt=F(s) \mathcal{L} \left\{ f(t) \right\} := \int _{0}^\infty e^{-st}f(t) dt =F(s) L{f(t)}:=∫0∞e−stf(t)dt=F(s)
