Set up an integral for finding the Laplace transform of f(t) = t - 18 F(s) = L{f(t)} = integral^B_A e^(-st) * (t - 18)dt where A = 0 and B = INFINITY. b. Find the antiderivative (with constant term 0) corresponding to the previous part. c. Evaluate appropriate limits to compute the Laplace transform of f(t): F(s) = L{f(t)} = (1/s^2)-(18/s) d. Where does the Laplace transform you found exist? In other words, what is the domain of F(s)? (0, INFINITY)