Evaluate the integral -1/4 7x/4 S (sin x + cos x) dx using the fundamental theorem of calculus. Discuss whether your result is consistent with the figure shown to the right. -x/4 Is this value consistent with the given figure? OA. The value is not consistent with the figure because the figure is a graph of the base function, f(x), instead of a graph of the area function, A(x). OB. The value is consistent with the figure because the total area can be approximated using a rectangle of base and height sin (/4) + cos (π/4)=√2 OC. The value is consistent with the figure because the area below the x-axis appears to be equal to the area above the x-axis. O D. The value is not consistent with the figure because the total area could be approximated using a rectangle of base and height sin (/4) + cos (π/4)=√√√2. y = sin x + cos x
Evaluate the integral -1/4 7x/4 S (sin x + cos x) dx using the fundamental theorem of calculus. Discuss whether your result is consistent with the figure shown to the right. -x/4 Is this value consistent with the given figure? OA. The value is not consistent with the figure because the figure is a graph of the base function, f(x), instead of a graph of the area function, A(x). OB. The value is consistent with the figure because the total area can be approximated using a rectangle of base and height sin (/4) + cos (π/4)=√2 OC. The value is consistent with the figure because the area below the x-axis appears to be equal to the area above the x-axis. O D. The value is not consistent with the figure because the total area could be approximated using a rectangle of base and height sin (/4) + cos (π/4)=√√√2. y = sin x + cos x
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![Evaluate the integral
-1/4
7x/4
s
(sin x + cos x) dx using the fundamental theorem of calculus. Discuss whether your result is consistent with the figure shown to the right.
-x/4
Is this value consistent with the given figure?
OA. The value is not consistent with the figure because the figure is a graph of the base function, f(x), instead of a graph of the area function, A(x).
О в.
The value is consistent with the figure because the total area can be approximated using a rectangle of base and height sin (1/4) + cos (π/4)=√√2.
OC. The value is consistent with the figure because the area below the x-axis appears to be equal to the area above the x-axis.
OD. The value is not consistent with the figure because the total area could be approximated using a rectangle of base and height sin (x/4) + cos (1/4)=√2
2+
y sin x + cos x
4](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa7bcda53-e53d-4861-afb4-58f84cc70dfb%2F5d9bafd6-d8d0-44a4-8d2d-fd13980a154a%2Fqdvz08e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Evaluate the integral
-1/4
7x/4
s
(sin x + cos x) dx using the fundamental theorem of calculus. Discuss whether your result is consistent with the figure shown to the right.
-x/4
Is this value consistent with the given figure?
OA. The value is not consistent with the figure because the figure is a graph of the base function, f(x), instead of a graph of the area function, A(x).
О в.
The value is consistent with the figure because the total area can be approximated using a rectangle of base and height sin (1/4) + cos (π/4)=√√2.
OC. The value is consistent with the figure because the area below the x-axis appears to be equal to the area above the x-axis.
OD. The value is not consistent with the figure because the total area could be approximated using a rectangle of base and height sin (x/4) + cos (1/4)=√2
2+
y sin x + cos x
4
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