Chapter 6

Instant Integration

IN THIS CHAPTER

Bullet Knowing 17 antiderivatives that are the inverses of the 17 derivative formulas from Calculus I

Bullet Understanding the Constant Multiple rule for integration

Bullet Evaluating powers, roots, and rational functions using the Power rule for integration

Bullet Breaking up complicated-looking functions with the Sum rule for integration

Integration doesn’t always have to be difficult. In many cases, you can integrate complex-looking functions using antiderivatives plus a few basic rules.

In this chapter, you discover how to reverse the basic derivative formulas you know from Calculus I to find indefinite integrals. Then, you see how the Constant Multiple rule, the Power rule, and the Sum rule that you know from Calculus I can be applied in reverse to evaluate integrals.

By the end of this chapter, you’ll have a powerful set of tools for integrating that you can use confidently throughout your entire Calculus II course!

Antiderivatives of Common Functions and the Constant Multiple Rule

In Chapter 3, I provide a list of 17 derivatives of the most basic functions. ...

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