ABSTRACT

At the end of this chapter, you should be able to:

• appreciate that the area under a curve of a known function is a definite integral • state practical examples where areas under a curve need to be accurately determined • calculate areas under curves using integration • calculate areas between curves using integration

The area shown shaded in Figure 72.1 may be determined using approximate methods (such as the trapezoidal rule, the mid-ordinate rule or Simpson’s rule) or, more precisely, by using integration.