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Calculus II For Dummies, 2nd Edition
book

Calculus II For Dummies, 2nd Edition

by Zegarelli
January 2012
Intermediate to advanced content levelIntermediate to advanced
384 pages
8h 37m
English
For Dummies
Content preview from Calculus II For Dummies, 2nd Edition

Chapter 3

From Definite to Indefinite: The Indefinite Integral

In This Chapter

arrow Approximating area in five different ways

arrow Calculating sums and definite integrals

arrow Looking at the Fundamental Theorem of Calculus (FTC)

arrow Seeing how the indefinite integral is the inverse of the derivative

arrow Clarifying the differences between definite and indefinite integrals

The first step to solving an area problem — that is, finding the area of a complex or unusual shape on the graph — is expressing it as a definite integral. In turn, you can evaluate a definite integral by using a formula based on the limit of a Riemann sum (as I show you in Chapter 1).

In this chapter, you get down to business calculating definite integrals. First, I show you a variety of different ways to estimate area. All these methods lead to a better understanding of the Riemann sum formula for the definite integral. Next, you use this formula to find exact areas. This rather hairy method of calculating definite integrals prompts a ...

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Publisher Resources

ISBN: 9781118161708Purchase book