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

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

3. 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.

4. 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.

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

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

8. Definition of the Area of a Region in a Plane Area

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

11. Ch 4.2ish Homework Approximation Area worksheet