Fundamental Theorem of Calculus

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Presentation transcript:

Fundamental Theorem of Calculus AP Calculus Honors Ms. Olifer

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.

The Fundamental Theorem of Calculus, Part 1

The Fundamental Theorem of Calculus, Part 1

Example Evaluating an Integral

The Fundamental Theorem of Calculus Part 2

The Fundamental Theorem of Calculus

Example Applying the Fundamental Theorem

Example The Fundamental Theorem with the Chain Rule

Example Variable Lower Limits of Integration

How to Find Total Area Numerically