Question: = (4) Assume f: [a,b] - R is integrable. Show that if g : [a, b] R satisfies g(x) f(x) at all but a

= (4) Assume f: [a,b] - R is integrable. Show that if g : [a, b] R satisfies g(x) f(x) at all but a finite number of points in [a,b] then g is integrable as well. Show, by example, that the result fails if we allow g to differ from at a countable number of points.

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