Evaluate the integral S sin x cos x dx using the fundamental theorem of calculus Discuss whether your result is consistent with

Question

Evaluate the integral 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 1 4 7x 4 S sin x cos x dx x 4 Is this value consistent with the given figure OA The value consistent with the figure because the area below the x axis appears to be equal to the area above the x axis OB The value is consistent with the figure because the total area can be approximated using a rectangle base x and height sin x 4 cos x 4 2 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 z 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 27 y sin x cos x

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