Which of the following integrals, if either, calculates the area of the shaded region shown to the right? Give reasons for your answer. yex (x-(-x)) dx= 2x dx a. -1 b. (-x-(x)) dx = -2x dx -1 Choose the correct answer below. O A. The integral in part a calculates the area of the shaded region because function y = x is above the function y = - X. O B. The integral in part b calculates the area of the shaded region because function y = -x is above the function y = x. OC. Neither, because the graph of y = x is above the graph of y= -x for x<0, but is below it for x> 0.
Which of the following integrals, if either, calculates the area of the shaded region shown to the right? Give reasons for your answer. yex (x-(-x)) dx= 2x dx a. -1 b. (-x-(x)) dx = -2x dx -1 Choose the correct answer below. O A. The integral in part a calculates the area of the shaded region because function y = x is above the function y = - X. O B. The integral in part b calculates the area of the shaded region because function y = -x is above the function y = x. OC. Neither, because the graph of y = x is above the graph of y= -x for x<0, but is below it for x> 0.
Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
![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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2207c04a-98de-4f80-9cf7-3742b9f6a36e%2F01e7a464-88d4-4e8f-8eaf-de90462ed2a9%2Fmia5nrl_processed.jpeg&w=3840&q=75)
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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