Chapter 8 Section 8.2 Applications of Definite Integral

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Presentation transcript:

Chapter 8 Section 8.2 Applications of Definite Integral Areas in the Plane

Quick Review

Quick Review Solutions

What you’ll learn about Areas as limits of Riemann sums Areas between curves Areas for which integration is with respect to y …and why The techniques of this section allow us to compute areas of complex regions of the plane.

Area Between Curves

Area Between Curves

Example Applying the Definition

Example Area of an Enclosed Region

Integrating with Respect to y

Example Integrating with Respect to y

Example Using Geometry