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b (e) Recall that / v(t) dt = lim b-a v(a+ 'i) . Verify the result in part (d) by evaluating this limit. 7-+00 i=1

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b (e) Recall that / v(t) dt = lim b-a v(a+ '"i) . Verify the result in part (d) by evaluating this limit. 7-+00 i=1 n n Hint: Fin(n+1). $2- n(n+1)(2n+1) i=1 2 6

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