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Question: a suppose f is riemann integrable on a b and...

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(a) Suppose f is Riemann integrable on [a, b] and for any z E [a, bl, Ia (),d 0. Prove that f-0 a. (i.e everywhere except possibly on a set of Lebesgue measure zero) (b) Suppose f, g are Riemann integrable on a,b] and f-g a.е. Prove that J:f(x) dz- 9() dz, (c) Let f be Riemann integrable on [a, b) and g-f a.е. Does it follow that g is Riemann integrable?

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