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Consider the function f(x) = - 3 + 7. In this problem you will calculate 3 -+ 7 da by using the definition The summation
Consider the function f(x) = - 3 + 7. In this problem you will calculate 3 -+ 7 da by using the definition The summation inside the brackets is Rn which is the Riemann sum where the sample points are chosen to be the right-hand endpoints of each sub-interval. Calculate Rn for f(x) =- 3 + 7 on the interval [0, 4) and write your answer as a function of n without any summation signs. You will need the summation formulas n (n + 1 ) n2 +n 1+2+3 + ... +n= 2 2 i= 1 12 + 22 + 32 + ... + n' = n(n + 1)(2n + 1) = 2n' + 3n2 +n 6 6 i= 1 Rn = lim Rn =
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