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Definite Integrals & Antiderivatives

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Presentation on theme: "Definite Integrals & Antiderivatives"— Presentation transcript:

1 Definite Integrals & Antiderivatives

2 Quick Review

3 Quick Review Solutions

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15 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.

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17 Rules for Definite Integrals

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19 Example Using the Rules for Definite Integrals

20 Example Using the Rules for Definite Integrals

21 Example Using the Rules for Definite Integrals

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23 Average (Mean) Value

24 Example Applying the Definition

25 Example 7

26 The Mean Value Theorem for Definite Integrals

27 The Mean Value Theorem for Definite Integrals

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29 Quick Quiz Sections 6.1 – 6.3

30 Quick Quiz Sections 6.1 – 6.3

31 Quick Quiz Sections 6.1 – 6.3

32 Quick Quiz Sections 6.1 – 6.3

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