July 2023
Beginner to intermediate
304 pages
6h 41m
English
Content preview from Calculus II Workbook For Dummies
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Chapter 6
Instant Integration
IN THIS CHAPTER
Knowing 17 antiderivatives that are the inverses of the 17 derivative formulas from Calculus I
Understanding the Constant Multiple rule for integration
Evaluating powers, roots, and rational functions using the Power rule for integration
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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I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.