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Referring to the figure, explain how to use definite integrals to find the area between the graph of y = f(x) and the x-axis from

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Referring to the figure, explain how to use definite integrals to find the area between the graph of y = f(x) and the x-axis from x = a to x = d. /b d y = f(x) Choose the correct answer below. O A. Integrate - f(x) over the interval [a, d], and then take the absolute value of the result. O B. Integrate - f(x) over the intervals [a,b] and [c,d], integrate f(x) over the interval [b,c], and then sum the results. O C. Integrate f(x) over the interval [a, d], and then take the absolute value of the result. O D. Integrate f(x) over the intervals [a,b] and [c,d], integrate - f(x) over the interval [b,c], and then sum the results.Use the method of Lagrange multipliers. Maximize f(x, y) = 2xy subject to x + y =14 Max f(x,y) = (Simplify your answer.)

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