Approximate the area under the curve y = 9 – x² and above the x-axis on the interval 1 < x < 2 with 4 approximating rectangles using: (1a) a righthand approximation (1b) a lefthand approximation For parts (1a) and (1b), sketch the curve and the rectangles. Write out your area summations so it is clear where your calculations come from. (1c) Which of the approximations above is an overestimate? Which is an underestimate? (1d) Find the exact value of the area stated above by using a definite integral.

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