MATH 151: NOTES FOR CHAPTER 9
• ADVANCED TECHNIQUES OF INTEGRATION
BIG FILE: Chapter 9 notes (handwritten)
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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