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

Question

Evaluate the integral sinx cos x dx using the fundamental theorem of calculus Discuss whether your result is consistent with the figure shown to the right 7x14 4 sinx cos x dx 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 x 4 2 C 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 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 2 y sin x cos x

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