Evaluate the integral. (3u - 8) (u + 3) du - 1\fUse a graph to give a rough estimate of the area of the region that lies beneath the given curve, above the X-axis, and on the indicated interval. Then find the exact area. y=3\\,r, osxss4 :1 Find the derivative of the function. 6X 6X 6X 0 g(x) = 42 - 5 du Hint: f(u) du = f(u) du + f ( u ) du 4X 42 + 5 4x J4X Jo g' ( x ) =Water flows into and out ofa storage tank. A graph of the rate of change r(t) of the volume of water in the tank, in liters per day, is shown. r 2000 1000 G) If the amount of water in the tank at time 1': = 0 is 22,000 L, use the midpoint rule to estimate the amount of water (in L) in the tank four days later. (Let n = 4.) :lL