Chapter 10
Integration for Experts
IN THIS CHAPTER
Breaking down integrals into parts
Finding trigonometric integrals
Understanding the As, Bs, and Cxs of partial fractions
I figure it wouldn’t hurt to give you a break from the kind of theoretical groundwork stuff that I lay on pretty thick in Chapter 9, so this chapter cuts to the chase and shows you just the nuts and bolts of several integration techniques.
Integration by Parts
The basic idea of integration by parts is to transform an integral you can’t do into a simple product minus an integral you can do. Here’s the formula:
And here’s the method in a nutshell. What’s
? First, you’ve got to split up the integrand into a u and a dv so that it fits the formula. For this problem, choose
to be your u. Then everything ...
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Integration by Parts: