Use rectangles to find lower and upper sums for the area between the graph of y = x2 and

Chapter 18, Problem 3

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Use rectangles to find lower and upper sums for the area between the graph of y = x2 and the x-axis for 1 6 x 6 2. Use n = 10, 25, 50, 100, and 500. Give your answers to 4 decimal places. As n gets larger, both AL and AU converge to the same number which is a simple fraction. What is it?

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