Definite Integrals and Antiderivatives

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Presentation transcript:

Definite Integrals and Antiderivatives Chapter 6 Applications of Derivatives Section 6.3 Definite Integrals and Antiderivatives

Quick Review

Quick Review Solutions

What you’ll learn about Properties of definite integrals Average value of a function Mean value theorem for definite integrals … 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

Rules for Definite Integrals

Example Using the Rules for Definite Integrals

Example Using the 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 Mean Value Theorem for Definite Integrals

The Derivative of an Integral

Quick Quiz Sections 6.1 – 6.3

Quick Quiz Sections 6.1 – 6.3

Quick Quiz Sections 6.1 – 6.3

Quick Quiz Sections 6.1 – 6.3

Quick Quiz Sections 6.1 – 6.3

Quick Quiz Sections 6.1 – 6.3

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