1. AP Calculus Honors Ms. Olifer
Areas in the Plane
AP Calculus Honors
Ms. Olifer

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. Area Between Curves

4. Area Between Curves

5. Example: Applying the Definition

6. Example: Area of an Enclosed Region

7. Integrating with Respect to y

8. Example: Integrating with Respect to y

9. Example: Using Geometry