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Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 6.3 Antidifferentiation by Parts.

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Presentation on theme: "Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 6.3 Antidifferentiation by Parts."— Presentation transcript:

1 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall 6.3 Antidifferentiation by Parts

2 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 6- 2 Quick Review

3 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 6- 3 Quick Review Solutions

4 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 6- 4 What you’ll learn about Product Rule in Integral Form Solving for the Unknown Integral Tabular Integration Inverse Trigonometric and Logarithmic Functions … and why The Product Rule relates to derivatives as the technique of parts relates to antiderivatives.

5 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 6- 5 Integration by Parts Formula

6 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 6- 6 Example Using Integration by Parts

7 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 6- 7 Example Repeated Use of Integration by Parts

8 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 6- 8 Example Solving for the Unknown Integral

9 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 6- 9 Example Antidifferentiating ln x

10 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 6- 10 Quick Quiz Sections 6.1-6.3

11 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 6- 11 Quick Quiz Sections 6.1-6.3

12 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 6- 12 Quick Quiz Sections 6.1-6.3

13 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 6- 13 Quick Quiz Sections 6.1-6.3

14 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 6- 14 Quick Quiz Sections 6.1-6.3

15 Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 6- 15 Quick Quiz Sections 6.1-6.3


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