\fThe marginal profit for a small car agency that sells x cars per week is given by P'(x) = x14 + 3x, where P(x) is the profit in dollars. The agency's profit on the sale of only 1 car per week is - $2,000. Use a table of integrals to find the profit function and the number of cars that must be sold (to the nearest unit) to produce a profit of $11,000 per week. How much weekly profit (to the nearest dollar) will the agency have if 65 cars are sold per week? Click the icon to view a brief table of integrals. Find the profit function. P(x) = (Round the constant term to two decimal places as needed.) Find the number of cars that must be sold (to the nearest unit) to produce a profit of $11,000 per week. x = cars sold (Round to the nearest whole number as needed.) How much weekly profit (to the nearest dollar) will the agency have if 65 cars are sold per week? The profit will be $ (Round to the nearest whole number as needed.)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. + X a b C d y = f(x) Choose the correct answer below. O A. 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 B. Integrate - f(x) over the interval [a,d], and then take the absolute value of the result. O C. 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 D. Integrate f(x) over the interval [a,d], and then take the absolute value of the result.