Find the total amount of water entering during the first 15 hr, from t = 0 to t = 15. Find the average rate at which water entered during this time.
Suppose water is entering a tank at a rate of g(t) = 360t - 39t2 + t3 where g is measured in liters per hour and t is measured in hours. The rate is 0 at times 0, 15, and 24.