1. Fundamental Theorem of Calculus
AP Calculus Honors
Ms. Olifer

4. What you’ll learn about
Fundamental Theorem, Part 1
Graphing the Function
Fundamental Theorem, Part 2
Area Connection
Analyzing Antiderivatives Graphically
… 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, Part 1

6. The Fundamental Theorem of Calculus, Part 1

7. Example Evaluating an Integral

8. The Fundamental Theorem of Calculus Part 2

9. The Fundamental Theorem of Calculus

10. Example Applying the Fundamental Theorem

11. Example The Fundamental Theorem with the Chain Rule

12. Example Variable Lower Limits of Integration

13. How to Find Total Area Numerically