Estimate the area of the region bounded by the graph of f(x) = x 2 + 2

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Estimate the area of the region bounded by the graph of f(x) = x2 + 2 and the x-axis on 30, 24 in the following ways.

a. Divide [0, 2] into n = 4 subintervals and approximate the area of the region using a left Riemann sum. Illustrate the solution geometrically.

b. Divide [0, 2] into n = 4 subintervals and approximate the area of the region using a midpoint Riemann sum. Illustrate the solution geometrically.

c. Divide [0, 2] into n = 4 subintervals and approximate the area of the region using a right Riemann sum. Illustrate the solution geometrically.

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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