ABSTRACT

Integration allows things such as the variation in density with depth in the earth to be estimated, the heat generated in the crust to be determined and the approximate volume of Mt Fuji to be calculated. This chapter discusses integration as the inverse of differentiation to introduce the methods and notation used for calculating integrals. As with differentiation, the problem with standard forms is that real problems are rarely that simple. One needs a few rules for dealing with more complex cases. Some of these are similar to those for differentiation. For example, if a function is multiplied by a constant, the integral of the function is multiplied by the same constant. The chapter discusses definite and indefinite integration. Definite integration produces a single, often numerical, answer.