4. (4 points) Let f be a continuous function with antiderivative F; that is, F'(x) = f(x). You are also given that: . F(x) > 0, for all x . F(2) = 6 and f(2) = 4 . lim F(x) = 3 and lim f(x) = 0 oo f (x ) Determine whether the improper integral F(x) dx converges or not. If it converges, 2 find its exact value