Problems: Applications of integration

In this chapter, the basic and advanced problems related to the applications of integration are presented. The subjects include mean value of a function, surface area bounded by curves, volume resulted from rotation of an enclosed region, arc length of a curve, surface area of a solid of revolution, and center of gravity. In this chapter, the problems are categorized in different levels based on their difficulty levels (easy, normal, and hard) and calculation amounts (small, normal, and large). Additionally, the problems are ordered from the easiest problem with the smallest computations to the most difficult problems with the largest calculations.