Lecture Notes: Friday, November 6, 1998

 

Ninth Homework Assignment - for discussion at recitations on Tuesday November 10, and Thursday November 12.

For Chapter #5 Review, the old final exam problems from assignment # 8 are particularly important. Be sure to solve all of these. Work in study groups, ask about them in recitation, and Sunday review. Come in to see me if you have questions.

 

Chapter 6 Section 2 (Integration by Substitution)

Integration by substitution is related to the chain rule for differentiation.

where F'(x) = f(x).

Let u = g(x). Then

Thus you can compute by first computing and then replacing u by g(x).

The trick is to identify the function u = g(x) that simplifies the integrand.

Examples:

6.2 # 2, 6, 12, 18, 24, 28, 32, 36, 43, 45

 

 

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