7x/4 Evaluate the integral (sinx + cos x) dx using the fundamental -x/4 theorem of calculus. Discuss whether your result is consistent with the figure shown to the right. 7x/4 (sinx+cos x) dx = -x/4 Is this value consistent with the given figure? 2+ y=sin x + cos x A. The value is not consistent with the figure because the total area could be approximated using a rectangle of base x and height sin (x/4)+ cos (x/4)=√2. B. 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. OC. The value is consistent with the figure because the total area can be approximated using a rectangle of base x and height sin (x/4)+ cos (x/4)=√2. Show Transcribed Text (2/4)=√√/2. OD. 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). Time Demaining

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Question
7x/4
Evaluate the integral
(sinx + cos x) dx using the fundamental
-x/4
theorem of calculus. Discuss whether your result is consistent with the
figure shown to the right.
7x/4
(sinx+cos x) dx = [
-1/4
Is this value consistent with the given figure?
2+ y = sin x + cos x
OA. The value is not consistent with the figure because the total area could be approximated
using a rectangle of base x and height sin (x/4) + cos (x/4)=√2.
Show Transcribed Text
24
B.
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.
OC.
The value is consistent with the figure because the total area can be approximated using a
rectangle of base x and height sin (x/4)+cos (x/4)=√2.
(2/4)=√//2.
D. 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).
Time Remaining
Transcribed Image Text:7x/4 Evaluate the integral (sinx + cos x) dx using the fundamental -x/4 theorem of calculus. Discuss whether your result is consistent with the figure shown to the right. 7x/4 (sinx+cos x) dx = [ -1/4 Is this value consistent with the given figure? 2+ y = sin x + cos x OA. The value is not consistent with the figure because the total area could be approximated using a rectangle of base x and height sin (x/4) + cos (x/4)=√2. Show Transcribed Text 24 B. 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. OC. The value is consistent with the figure because the total area can be approximated using a rectangle of base x and height sin (x/4)+cos (x/4)=√2. (2/4)=√//2. D. 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). Time Remaining
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