Suppose that is C1 on [a, b] and f is integrable on [c, d] := [a,

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Suppose that ϕ is C1 on [a, b] and f is integrable on [c, d] := ϕ[a, b]. If ϕ is never zero on [a, b], prove that f o ϕ is integrable on [a, b].
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