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[6] Suppose f is integrable on [a, b] and let F(x) = J f(x) dx. Show that F is continuous on [a, b]. Is F

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[6] Suppose f is integrable on [a, b] and let F(x) = J f(x) dx. Show that F is continuous on [a, b]. Is F differentiable? If yes, give a proof, otherwise give a counterexample and state a sufficient condition on f for this to be true

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