April 2023
Beginner to intermediate
656 pages
17h 28m
English
Content preview from Calculus All-in-One For Dummies (+ Chapter Quizzes Online)
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Chapter 14
Intro to Integration and Approximating Area
IN THIS CHAPTER
Integrating — adding it all up
Approximating areas and sizing up sigma sums
Using the definite integral to get exact areas
Reconnoitering rectangles
Totaling up trapezoids
Applying Simpson’s rule: Calculus for Bart and Homer
Since you’re still reading this book, I presume that means you survived differentiation (Chapters 9 through 13). Now you begin the second major topic in calculus: integration. Just as two simple ideas lie at the heart of differentiation — rate (like miles per hour) and the steepness or slope of a curve — integration can also be understood in terms of two simple ideas: adding up small pieces of something and the area under a curve. In this chapter, I introduce you to these two fundamental concepts.
By the way, much of the material in this chapter and the first section of Chapter 15 is both more ...
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I wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.Addison B.
I’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.Amir M.
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.