AP CALCULUS AB CHAPTER 4, SECTION 2(ISH) Area 2013 – 2014 Revised 2014 - 2015.

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Presentation transcript:

AP CALCULUS AB CHAPTER 4, SECTION 2(ISH) Area 2013 – 2014 Revised

Area under a curve We can approach the area under a curve by using Geometry. We use above and below rectangles (sometimes called ______________________________ or ______________________________.)

Use 5 rectangles to find two approximations of the area of the region lying between the graph of the given function and the x-axis between x=0 and x=2.

Use 4 rectangles to find two approximations of the area under the curve between the graph of the given function and the x-axis between x=1 and x=3.

Use 4 rectangles to find one approximation (using midpoints) of the area under the curve between the graph of the given function and the x-axis between x=1 and x=3.

Equations we can use Left endpoint of each rectangle: Right endpoint of each rectangle: Mid-point of each rectangle:

Definition of the Area of a Region in a Plane Area

Steps for using definition of the area of a region in a plane

Ch 4.2ish Homework Approximation Area worksheet