Begin2.DVI

Chapter 12

Introduction to more Advanced Material

The following is a potpourri of selected topics involving mathematical applica-

tions of calculus together with an introduction to advanced calculus techniques and

mathematical methods related to calculus. The material selected presents applica-

tions and topics that you might encounter in your scientific investigations in other

courses. The material presented will also give you some idea of what to expect in

more advanced mathematical courses beyond calculus.

An integration method

To integrate the definite integral

∫b

a

f(x)dx you can use the following integration

method if you know the inverse function f−^1 (x)associated with f(x).

Figure 12-1. A function and its inverse function.