Question: Suppose f: [a, b] -> R is a bounded function and c E (a, b). Prove that f is Riemann integrable on a, b] if

Suppose f: [a, b] -> R is a bounded function and c E (a, b). Prove that f is Riemann integrable on a, b] if and only if f is Riemann integrable on a, c and f is Riemann integrable on c, b . Furthermore, prove that if these conditions hold, then

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