Problem 4. True or False? If you believe the statement is true, then provide an explanation. If you believe the statement is false. then rovide a counterexamle or a meaningful) correction (e) If/ is decreasing and g is increasing, then /(2) dz g(x) dr (f) If/ is a continuous function on the interval [a, b, then 15 + 3/(z)] dr = 5 + 3 /(r) dr. (g) For any continuos function f. /(r)dzf(r) dr (h) If f(x) dr-I g(x) dr. then f(r) g(x) for 2 㨠0, then f(x) > 0 for all a: in [a,b]. (i) If A is the average value of f on the interval [1, 4] and B is the average value of f on the interval 4,9], then the average value of fon 1,9 is the weighted average B