Question: Water is leaking out of a tank at a rate of R(t) gallons/hour, where t is measured in hours.
(a) Write a definite integral that expresses the total amount of water that leaks out in the first two hours.
(b) In Figure, shade the region whose area represents the total amount of water that leaks out in the first two hours.
(c) Give an upper and lower estimate of the total amount of water that leaks out in the first two hours.