Question: Show that if f: [a, b] R is integrable and g: f([a, b]) R is continuous, then g o f is integrable on

Show that if f: [a, b] → R is integrable and g: f([a, b]) → R is continuous, then g o f is integrable on [a, b]. (Notice by Remark 3.34 that this result is false if g is allowed even one point of discontinuity.)

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