7π/4 УА Evaluate the integral (sin x + cos x) dx using the fundamental theorem of calculus. Discuss whether your result is consistent with the figure shown to the 2+ y = sin x + cos x -л/4 right. 73/4 (sin x + cos x) dx = -π/4 Is this value consistent with the given figure? 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. OB. 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. C. 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. 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). 3 x

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 72E
Question
7π/4
УА
Evaluate the integral
(sin x + cos x) dx using the fundamental theorem of calculus. Discuss whether your result is consistent with the figure shown to the
2+
y = sin x + cos x
-л/4
right.
73/4
(sin x + cos x) dx =
-π/4
Is this value consistent with the given figure?
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.
OB. 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.
C. 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.
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).
3
x
Transcribed Image Text:7π/4 УА Evaluate the integral (sin x + cos x) dx using the fundamental theorem of calculus. Discuss whether your result is consistent with the figure shown to the 2+ y = sin x + cos x -л/4 right. 73/4 (sin x + cos x) dx = -π/4 Is this value consistent with the given figure? 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. OB. 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. C. 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. 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). 3 x
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