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Reimann and Lebesgue integrals.

(a) If f is a nonnegative continuous function on [0,1], then show that integral from 0 to 1 f(x) dx = integral over [0,1] f dx ( that is show that the reimann integral and lebesgue integrals are equal).

(b) Prove part (a) for any continuous function.

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This solution is comprised of a detailed explanation to answer Reimann and Lebesgue integrals.

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