5. Suppose that f is continuous on a nondegenerate interval [a, bJ. Show that lC f(x)dx =...

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5. Suppose that f is continuous on a nondegenerate interval [a, bJ. Show that lC f(x)dx = 0 for all c E [a, bJ if and only if f(x) = 0 for all x E [a, bJ. (Compare with Exercise 4, and notice that f need not be nonnegative here.)

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An Introduction To Analysis

ISBN: 9780131453333

3rd Edition

Authors: William R. Wade

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5. Suppose that f is continuous on a nondegenerate interval [a, bJ. Show that lC f(x)dx =...

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An Introduction To Analysis

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