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5.3 Definite Integrals and Antiderivatives. What you’ll learn about Properties of Definite Integrals Average Value of a Function Mean Value Theorem for.

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Presentation on theme: "5.3 Definite Integrals and Antiderivatives. What you’ll learn about Properties of Definite Integrals Average Value of a Function Mean Value Theorem for."— Presentation transcript:

1 5.3 Definite Integrals and Antiderivatives

2 What you’ll learn about Properties of Definite Integrals Average Value of a Function Mean Value Theorem for Definite Integrals Connecting Differential and Integral Calculus … 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.

3 Rules for Definite Integrals

4 Example Using the Rules for Definite Integrals

5

6

7 Average (Mean) Value

8 Example Applying the Definition

9 The Mean Value Theorem for Definite Integrals

10

11 The Derivative of an Integral

12 Quick Quiz Sections 5.1 - 5.3

13

14

15

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17

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