Assume that the linear function f(x) = mx + c is positive on the interval [a, b].

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Assume that the linear function f(x) = mx + c is positive on the interval [a, b]. Prove that the midpoint Riemann sum with any value of n gives the exact area of the region between the graph of f and the x-axis on [a, b].

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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