1. Definite Integrals and Antiderivatives
Chapter 6
Applications of Derivatives
Section 6.3
Definite Integrals and
Antiderivatives

2. Quick Review

3. Quick Review Solutions

4. What you’ll learn about
Properties of definite integrals
Average value of a function
Mean value theorem for definite integrals
… and why
Working with the properties of definite integrals helps
us to understand better the definite integral. Connecting
derivatives and definite integrals sets the stage for the
Fundamental Theorem of Calculus.

5. Rules for Definite Integrals

6. Rules for Definite Integrals

7. Example Using the Rules for Definite Integrals

8. Example Using the Rules for Definite Integrals

9. Example Using the Rules for Definite Integrals

10. Average (Mean) Value

11. Example Applying the Definition

12. The Mean Value Theorem for Definite Integrals

13. The Mean Value Theorem for Definite Integrals

14. The Derivative of an Integral

15. Quick Quiz Sections 6.1 – 6.3

16. Quick Quiz Sections 6.1 – 6.3

17. Quick Quiz Sections 6.1 – 6.3

18. Quick Quiz Sections 6.1 – 6.3

19. Quick Quiz Sections 6.1 – 6.3

20. Quick Quiz Sections 6.1 – 6.3