ABSTRACT
There are many examples in engineering and science where an area beneath a graph represents the magnitude of a physical quantity. One such example is the work done by an object moving a distances against a constant force. There are several ways of determining the area under a curve. Three of these are graphical method, mid-ordinate rule, and Simpson’s rule. These methods produce approximate results. In order to determine an area exactly the method of integration must be used. This chapter discusses the integration of algebraic functions containing coefficients and shows that integration is the reverse of differentiation. It also describes the integration of the trigonometric functions containing compound angles, integration squared trigonometric functions, integration of the exponential function, and integration of a product of two functions (integration by parts).
