Consider the integral a. Evaluate the right Riemann sum for the integral with n = 3. b.

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Consider the integralSЗх — 2) dx.

a. Evaluate the right Riemann sum for the integral with n = 3.

b. Use summation notation to express the right Riemann sum in terms of a positive integer n.

c. Evaluate the definite integral by taking the limit as n→∞ of the Riemann sum of part (b).

d. Confirm the result of part (c) by graphing y = 3x - 2 and using geometry to evaluate the integral. Then evaluatedx with the Fundamental Theorem of Calculus.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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