Problems: Double Integrals and Their Applications

In this chapter, the basic and advanced problems of double integrals and their applications are presented. The subjects include definite and indefinite double integrals, density function, mass, center of mass, center of gravity, moment of inertia, variables separation technique, integration by parts, changing order of integration, updating boundaries of variables, and surface area. 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.