1. Fundamental Theorem of Calculus
Chapter 6
Applications of Derivatives
Section 6.4
Fundamental
Theorem
of Calculus

2. Quick Review

3. Quick Review Solutions

4. What you’ll learn about
The Antiderivative Part of the Fundamental Theorem of Calculus
Use of definite integrals to define new functions (accumulator functions)
The Evaluation Part of the Fundamental Theorem of Calculus
Evaluation of definite integrals using antiderivatives
… and why
The Fundamental Theorem of Calculus is a Triumph
Of Mathematical Discovery and the key to solving
many problems.

5. The Fundamental Theorem of Calculus

6. The Fundamental Theorem of Calculus

7. Example Applying the Fundamental Theorem

8. Example The Fundamental Theorem with the Chain Rule

9. Example Variable Lower Limits of Integration

10. The Fundamental Theorem of Calculus, Part 2

11. The Fundamental Theorem of Calculus, Part 2

12. Example Evaluating an Integral

13. How to Find Total Area Analytically

14. How to Find Total Area Numerically