Definition 7.1.1. definition 7.1.1 laplace transform let f be a function defined for t ≥ 0. then the integral ℒ{f(t)} = ∞ e−stf(t) dt 0 is said to be the laplace transform of f, provided that the integral converges. find ℒ{f(t)}. (write your answer as a function of s.)