Definition 7.1.1 laplace transform let f be a function defined for t ≥ 0. then the integral script l{f(t)} = [infinity] e−stf(t) dt 0 is said to be the laplace transform of f, provided that the integral converges. find script l{f(t)}. (write your answer as a function of s.) f(t) = et + 8 script l{f(t)} = (s > 1) g