Chapter 7
Sharpening Your Integration Moves
IN THIS CHAPTER
Integrating rational and radical functions with the Power rule
Using algebra to simplify rational functions so you can integrate them
Identifying rational functions that integrate easily to inverse trig functions
Applying trig identities to make trig functions easier to integrate
Integrating relatively simple compositions of functions
In this chapter, you extend your ability to evaluate indefinite integrals, building on the skills you gained from Chapter 7.
To begin, you use the Power rule to integrate rational and radical functions by framing them as negative and fractional powers. You then discover how to evaluate integrals of some rational functions by first simplifying them. You also get some practice identifying the rational functions that integrate easily as inverse trig functions.
Next, you turn your attention to integrating trig functions by using trig identities to simplify or change their form. And to finish up, ...
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