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 transcript:

5.3 Definite Integrals and Antiderivatives

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.

Rules for Definite Integrals

Example Using the Rules for Definite Integrals

Average (Mean) Value

Example Applying the Definition

The Mean Value Theorem for Definite Integrals

The Derivative of an Integral

Quick Quiz Sections

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