1. 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.

2. 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. 3 Example 1

4. 4 Example 2

5. 5 Example 3

6. 6 Example 4 What is needed to solve each?

7. Lecture 11 – More Integration By Parts 7 Example 5

8. 8 Example 6 What is needed to solve each?

9. 9 Example 7

10. 10

11. 11 Example 8

12. 12