Suppose that (x) g(x) on [a, b]. By the Comparison Theorem, Is it also true that

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Suppose that ƒ(x) ≤ g(x) on [a, b]. By the Comparison Theorem, Ja  80 Ja f(x) dx  g(x) dx.Is it also true that ƒ(x) ≤ g (x) for x ∈ [a, b]? If not, give a counterexample.

THEOREM 5 Comparison Theorem If f and g are integrable and g(x)  f(x) for x in [a,b], then [ 8(x) dx =

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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