1. MAT 1221 survey of Calculus Section 6.1 Antiderivatives and Indefinite Integrals http://myhome.spu.edu/lauw

2. Expectation Simplify your answers. For problem 2: Formally answer the question in full sentence Pay attention to the units

3. Preview Introduce antiderivatives/ indefinite integral Introduce integration formulas Initial Value Problems Word Problems

4. Reverse Operation of Differentiation

5. Example 1 is the derivative of is an antiderivative of

6. Example 1 is the derivative of functions of the form

7. Example 1 The antiderivative of is of the form

8. Notation

9. Differential Integral Sign

10. Notation Constant of Integration/ Arbitrary Constant Integrand

11. Notation The notation always comes in pair.

12. Notation

13. Formal Definition

14. Formula Why?

15. Formula Verify

16. Example 2

17. Formula

18. Example 3 Tradition

19. Example 4

20. Remark on the integral notation Use parenthesis if there are two or more terms in a sum or difference.

21. Example 5

22. Example 6

23. Example 7

24. Caution

25. Differential Equations and Initial Conditions

26. Differential Equations and Initial Condition

27. Formula

28. The antiderivative of the derivative is the original function.

29. Example 8

30. Example 9

31. (b) Find the area of the wound after 7 days. The area of the wound after 7 days is cm 2