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by: Jarvis

Chapter71-3.pdf Math 1411

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About this Document

Find the area between two graphs
Calculus I
Francisco Avila
Class Notes




Popular in Calculus I

Popular in Mathematics (M)

This 2 page Class Notes was uploaded by Jarvis on Sunday March 13, 2016. The Class Notes belongs to Math 1411 at University of Texas at El Paso taught by Francisco Avila in Spring 2016. Since its upload, it has received 9 views. For similar materials see Calculus I in Mathematics (M) at University of Texas at El Paso.


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Date Created: 03/13/16
Chapter 7.1 – 3: 2 Find the area between the graphs of the two functions y1 x  43 and yx2 x  23 Solution: Graph the functions first. y 5 4 y 2 A 3 2 y1 1 x -2 -1 1 2 3 4 5 B -1 -2 Let’s find the limits of integration first by finding the coordinates of the points at A and B. xx 43x x 23 2 2xx x  0, 3 The height of a representative rectangle is 2 1 and the area of a representative rectangle isd , where dx represents the infinitely small 2 1 width of the rectangle. The area of the region is the sum of an infinite number of these rectangles from x  0 to x  3 . This can be represented symbolically as follows: 3 3 2 1dx  2 2x3 4 3 x dx 0 0 3   2 3   xdx x232   9 | 0   3 0


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