Use geometry and the result of Exercise 76 to evaluate the following integrals. Data from Exercise 76

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Use geometry and the result of Exercise 76 to evaluate the following integrals.

Data from Exercise 76

Suppose f is continuous on the intervals [a, p] and (p, b), where a < p < b, with a finite jump at p. Form a uniform partition on the interval [a, p] with n grid points and another uniform partition on the interval [p, b] with m grid points, where p is a grid point of both partitions. Write a Riemann sum forSiF(x) dx aand separate it into two pieces for [a, p] and [p, b]. Explain why Sf(x) dx = S

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Calculus Early Transcendentals

ISBN: 978-0321947345

2nd edition

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

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