Question: Evaluate the integral (sin x + cos x) dx using the fundamental theorem of calculus. Discuss whether your result is consistent with the figure
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 right. -/4 7x/4 -x/4 (sin x + cos x) dx = 0 Is this value consistent with the given figure? A. 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. B. 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 ( OC. 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. cos (x/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). sin x + cos x
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