6. Let f be integrable on [a, bJ and E be a finite subset of [a, bJ....

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6. Let f be integrable on [a, bJ and E be a finite subset of [a, bJ. Show that if 9 is a bounded function that satisfies g(x) = f(x) for all x E [a, bJ \ E, then 9 is integrable on [a, bJ and lb g(x) dx = lb f(x) dx.

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