(1 point) a. Set up an integral for finding the Laplace transform of the following function: 0, f(t) = 1+ 3, 0<t<8 8≤t. B F(s) = L {f(t)} = (e^(-st))(t+3)dt help (formulas) where A = 8 and B = inf b. Find the antiderivative (with constant term 0) corresponding to the previous part. -((s(t+3)+1)e^(-st))/(s^2) c. Evaluate appropriate limits to compute the Laplace transform of f(t): F(s) = {f(t)} = (e^(-8s)(1-5s))/(s^2) d. Where does the Laplace transform you found exist? In other words, what is the domain of F(s)? inf help (inequalities)