Hi I need help with these 4 questions: The options that are chosen are wrong so I need help

1.

Let C be a constant. Consider f ( x ) = 1 x2 x50, sin x + C, x > 0. Compute / f(x) dx. w / V OT 3 + CT O w/ Ur + CT O w / U + CT . w/ UrQuestion 17 Let f be a continuous function on [1, co). Let F denote an antiderivative of f on [1, co). Suppose that F(1) = -5 , F(0) = 4, and lim F(x) = co. Let m be a constant such that m co g(x) > f(x) for all x. Which of the following statements is always TRUE? O OO 2 f(x) dx diverges. O If f(x) dx converges, then g(x) dx converges. C If g(x) dx converges, then f (x) dx converges. O If g(x) dx diverges, then f (x) dx diverges. O f(x) dx converges