Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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Which of the following integrals, if either, calculates the area of the shaded region shown to the right? Give reasons for your answer.
21
1
y=x
| (x-(-x)) dx =
2x dx
a.
- 1
- 1
2
1
(-x- (x)) dx =
| - 2x dx
- 1
- 1
Choose the correct answer below.
A. The integral in part a calculates the area of the shaded region because function y = x is above the function y = - x.
B. The integral in part b calculates the area of the shaded region because function y = - x is above the function y = x.
O C. Neither, because the graph of y = x is above the graph of y = - x for x < 0, but is below it for x> 0.
b.
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Transcribed Image Text:Which of the following integrals, if either, calculates the area of the shaded region shown to the right? Give reasons for your answer. 21 1 y=x | (x-(-x)) dx = 2x dx a. - 1 - 1 2 1 (-x- (x)) dx = | - 2x dx - 1 - 1 Choose the correct answer below. A. The integral in part a calculates the area of the shaded region because function y = x is above the function y = - x. B. The integral in part b calculates the area of the shaded region because function y = - x is above the function y = x. O C. Neither, because the graph of y = x is above the graph of y = - x for x < 0, but is below it for x> 0. b.
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