5.3 RIEMANN SUMS: Problem 7 Previous Problem Problem List Next Problem (1 point) Estimate x2 dx using right endpoints for n = 4 approximationg rectangles. x2 dx is approximately Preview My Answers Submit Answers You have attempted this problem 0 times. You have 5 attempts remaining. Page generated at 10/13/2022 at 08:05pm PDT WeBWork @ 1996-2019| theme: math4 | ww_version: 2.15 | pg_version 2.15| The WeBWork Project\f(1 point) In this problem you will calculate x2 + 5 dx by using the formal definition of the definite integral: f(x) dx = lim 1 -+ 0o (a) The interval [0, 3] is divided into n equal subintervals of length Ax. What is Ax (in terms of n)? Ax = 3 (b) The right-hand endpoint of the kth subinterval is denoted x* . What is x* (in terms of k and n)? X* = 3k (c) Using these choices for x* and Ax, the definition tells us that x2 + 5 dx = lim f(x)Ax 1 -+ 0o What is f(x*)Ax (in terms of k and n)? f(x*)Ax = (27k~2)/(n^3)+15 (d) Express _ f(x*)Ax in closed form. (Your answer will be in terms of n.) k=1 E f(x* )Ax = ((27(n+1)(2n+1))/(10n^2)+15 K= 1 (e) Finally, complete the problem by taking the limit as n - co of the expression that you found in the previous part. x2 + 5 dx = lim