Let RN be the Nth right-endpoint approximation for f (x) = x3 on [0, 4] (Figure 2). (a)
Chapter 5, Problem 10(choose chapter or problem)
Let RN be the Nth right-endpoint approximation for f (x) = x3 on [0, 4] (Figure 2). (a) Prove that RN = 64(N + 1)2 N2 . (b) Prove that the area of the region within the right-endpoint rectangles above the graph is equal to 64(2N + 1) N2 y 32 64 x 1234 FIGURE 2 Approximation RN for f (x) = x3 on [0, 4]
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