Lecture 10 – Integration By Parts U-substitution is the reverse of the chain rule. 1 Likewise, by parts is the “almost” reverse of the product rule.

When figuring out integrals, now looking for one of the following: 2 1: know the When trying to decide what to use for the u, 2: look for 3: look for 4: look for

3 Example 1

4 Example 2

5 Example 3

6 Example 4 What is needed to solve each?

Lecture 11 – More Integration By Parts 7 Example 5

8 Example 6 What is needed to solve each?

9 Example 7

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11 Example 8

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