Question: Let R N be the Nth right-endpoint approximation for (x) = x 3 on [0, 4] (Figure 2). (a) Prove that (b) Prove that the

Let RN be the Nth right-endpoint approximation for ƒ(x) = x3 on [0, 4] (Figure 2).

64 32 att 1 2 3 4

(a) Prove that RN = 64(N + 1) N

(b) Prove that the area of the region within the right-endpoint rectangles above the graph is equal to

64(2N + 1) N

64 32 att 1 2 3 4

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