1. Sec 5.5: THE SUBSTITUTION RULE
Table Indefinite Integrals
Example
Example

2. Sec 5.5: THE SUBSTITUTION RULE
Table Indefinite Integrals
Example

3. Sec 5.5: THE SUBSTITUTION RULE

4. Sec 5.5: THE SUBSTITUTION RULE
Find
Table Indefinite Integrals
Find
Find

5. Sec 5.5: THE SUBSTITUTION RULE
Table Indefinite Integrals
Find
Find

6. Sec 5.5: THE SUBSTITUTION RULE
definite Integral
Example
Example
Example
Note:

7. SYMMETRY Sec 5.5: THE SUBSTITUTION RULE
Suppose f is continuous on [-a, a] and even
Suppose f is continuous on [-a, a] and odd
Example
Example

8. Sec 5.5: THE SUBSTITUTION RULE

9. Sec 5.5: THE SUBSTITUTION RULE

10. Sec 5.5: THE SUBSTITUTION RULE
092

11. Sec 5.5: THE SUBSTITUTION RULE
082

12. Sec 5.5: THE SUBSTITUTION RULE

13. Sec 5.5: THE SUBSTITUTION RULE
082

14. Sec 5.5: THE SUBSTITUTION RULE
082

15. Sec 5.5: THE SUBSTITUTION RULE
082

16. Sec 5.5: THE SUBSTITUTION RULE
082

17. Sec 5.5: THE SUBSTITUTION RULE

22. Sec 5.5: THE SUBSTITUTION RULE
TERM-092

23. Sec 5.5: THE SUBSTITUTION RULE
092