1. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Areas in the Plane Section 7.2

2. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 7- 2 What you’ll learn about Area Between Curves Area Enclosed by Intersecting Curves Boundaries with Changing Functions Integrating with Respect to y Saving Time with Geometric Formulas …and why The techniques of this section allow us to compute areas of complex regions of the plane.

3. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 7- 3 Area Between Curves

4. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 7- 4 Area Between Curves

5. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 7- 5 Example Applying the Definition

6. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 7- 6 Example Area of an Enclosed Region

7. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 7- 7 Integrating with Respect to y

8. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 7- 8 Example Integrating with Respect to y

9. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Slide 7- 9 Example Using Geometry

10. Copyright © 2007 Pearson Education, Inc. Publishing as Pearson Prentice Hall Pages 380-381 (1-13 odd) =============================== Page 381 (17-33 odd) Slide 7- 10