6. Show that if f : [a, bj -+ R is integrable and 9 : f([a, b])...

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6. Show that if f : [a, bj -+ R is integrable and 9 : f([a, b]) -+ R is continuous, then go f is integrable on [a, bj. (Notice by Remark 3.34 that this result is false if 9 is allowed even one point of discontinuity.)

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