Use 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)} = [infinity] 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. ) f(t) = −1, 0 ≤ t < 1 1, t ≥ 1.