1 In the mean-value theorem for integrals, Theorem 1.3, let f(x) = e*, g(x) = x, [a, b . Find the point specified by the theorem and verify that this point lies in the inte rem 1.3: Mean-value theorem for integrals Let g(x) be a nonnega- or nonpositive integrable function on [a,b]. If f(x) is continuous „b], then S'Kx)8(x) dx = f(E) for some § E[a, b] (1.28)

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