ABSTRACT
This chapter is concerned with applications of integrations. It helps the reader to evaluate definite integrals, examine simple improper integrals for convergence, and apply methods of integration to determine volumes of revolution, centres of mass, moments of inertia and other quantities. The procedure for finding a definite integral is to first find the indefinite integral, ignoring the arbitrary constant, and then subtract its value at the lower limit of integration from its value at the upper limit of integration. A useful theorem which can be applied to solid bodies is known as the parallel axis theorem. The parallel axis theorem is used to obtain moments of inertia of elements about a given axis. The chapter also looks at a practical problem concerning the radius of gyration of a body.
