July 2023
Beginner to intermediate
304 pages
6h 41m
English
Content preview from Calculus II Workbook For Dummies
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Chapter 10
Trig Substitution
IN THIS CHAPTER
Integrating tan x, cot x, sec x, and csc x
Evaluating integrals of common combinations of trig functions
Knowing how to do the three cases of trig substitution
Trig substitution is a somewhat sophisticated method of integration that allows you to integrate a variety of complicated rational and radical functions. Before you discover how to do trig substitution, you need to know a few more basics of integrating trig functions.
First, I show you how to integrate the four less commonly used trig functions (tan x, cot x, sec x, and csc x). After that, you get to use a variety of techniques integrating combinations of sines and cosines, then secants and tangents. With these techniques in place, you find out how to identify three cases when trig substitution makes sense and discover how to use this method.
Integrating the Six Basic Trig Functions
In Chapter 6, you discover how to integrate sin x and cos x using anti-differentiation. For completeness, I repeat them below. When working more extensively with trig functions, you’ll also need to know how to integrate the remaining four trig functions:
Okay, no peeking. When ...
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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.