Module 16  The Fundamental Theorem 
Introduction  Lesson 1  Lesson 2  Lesson 3  SelfTest 
Introduction 
In the previous module you defined left and right Riemann sums and used these sums to find the area under the curve f(x) = x^{2} from x = 0 to x = 1. In this module you will use Riemann sums to find other areas and discover the remarkable connection between areas under a curve and derivatives called the Fundamental Theorem of Calculus. Although you will discover this theorem in the context of finding areas under a curve, it is used in a wide variety of applications extending far beyond finding areas. Lesson Index: 16.1  Area Functions, A Symbolic Approach 16.2  Area Functions, A Visual Approach 16.3  The Fundamental Theorem of Calculus After completing this module, you should be able to do the following:

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