Riemann integrable

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  475464 Riemann integrable functions Let f be a real function on [a, b]. Suppose that f is Riemann integrable on [c, b] for every a < c < b.

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  103513 Real Analysis : Riemann Integrable Functions Show that the function h, defined on I by h(x)=x for x rational and h(x)=0 for x irrational, is not Riemann integrable on I. Please see the attached file for the complete solution.