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Calculus All-in-One For Dummies (+ Chapter Quizzes Online)
book

Calculus All-in-One For Dummies (+ Chapter Quizzes Online)

by Mark Ryan
April 2023
Beginner to intermediate
656 pages
17h 28m
English
For Dummies
Content preview from Calculus All-in-One For Dummies (+ Chapter Quizzes Online)

Chapter 17

Who Needs Freud? Using the Integral to Solve Your Problems

IN THIS CHAPTER

Bullet One mean theorem: “The Golden Rule!? Don’t make me laugh.”

Bullet Adding up the area between curves

Bullet Figuring out volumes of odd shapes with the deli meat method

Bullet Mastering the disk and washer methods

Bullet Finding arc length and surface area

Bullet Other stuff you’ll never need

As I say in Chapter 14, integration is basically just adding up small pieces of something to get the total for the whole thing — really small pieces, actually, infinitely small pieces. Thus, the integral

math

tells you to add up all the little pieces of distance traveled during the 15-second interval from 5 to 20 seconds to get the total distance traveled during that interval.

In all problems, the little piece after the integration symbol is always ...

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Publisher Resources

ISBN: 9781119909675Purchase Link