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7x/4 Evaluate the integral ( sin x + cos x) dx using the fundamental theorem of calculus. Discuss whether your result is consistent with the
7x/4 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. y = sin x + cos x -x/4 . . . . . 7x/4 J (sin x + cosx) dx = - 1/ 4 Is this value consistent with the given figure? O 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 (n / 4) + cos (n / 4) = 12. O B. 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). O C. 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 consistent with the figure because the total area can be approximated using a rectangle of base at and height sin (n / 4) + cos (n / 4) = 12
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