**MATH 151: NOTES FOR CHAPTER 9**

**• ADVANCED TECHNIQUES OF INTEGRATION**

**BIG FILE: **Chapter 9 notes (handwritten)

**SMALLER FILES (if you can’t 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!)

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:

Chapter 9 Notes: 42 pages