1. MAT 1235 Calculus II 4.5 Part I The Substitution Rule http://myhome.spu.edu/lauw

2. Homework WebAssign HW 4.5 I There are 28 problems. Do it early. These problems ensure you to attain certain degree of proficiency in this topic.

3. Preview Antiderivatives are difficult to find. We need techniques to help us. The substitution rule transforms a complicated integral into a easier integral. The procedures for indefinite and definite integrals are similar but different. Part I: Indefinite Part II Definite

4. Introductory Story The wonderful design of windshield wipers

5. Introductory Story The wonderful design of the integral notation…

6. The Substitution Rule for Indefinite Integrals

8. Remarks

9. Wonderful Design of Notation…

10. Example 1

12. You can always check the answer by differentiation:

13. Substitution Method

14. Expectations

15. Example 2

16. Example 3

17. Example 4

18. Example 5