MATH 151: NOTES FOR CHAPTER 9

ē ADVANCED TECHNIQUES OF INTEGRATION

TABLE OF CONTENTS

BIG FILE: Chapter 9 notes (handwritten)

SMALLER FILES (if you canít get the big file):

Mathematica Does Integrals!: http://integrals.wolfram.com/

Section 9.1: Integration by Parts

An article on the Turbo method; it's understandable up until the middle of page 3:

(Remember that the Turbo method may be forbidden for other problems in this chapter, even if it may work well!)

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Section 9.2: Trigonometric Integrals

Section 9.3: Trigonometric Substitutions

Section 9.4: Partial Fraction Decompositions (PFDs) (see Math 141, Chapter 7)

Section 9.5: Dealing with Quadratics

Section 9.6: Rationalizing Substitutions

Section 9.7: Tables of Integrals. It does come up from time to time in Math 252 (Calculus III). The key is to use a u-substitution before applying the appropriate template in the back of your book. For one example, see 15.1.4 to 15.1.6 in my Calc III notes:

Section 15.1

Review

Chapter 9 Notes: 42 pages

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