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    Integration Proof: Proving/Refuting |f(x)-g(x)| Integrable on [a,b]

    Homework Statement prove or refute : let f(x), g(x) be integrable functions on [a,b] so |f(x)-g(x)| integrable on a [a,b] Homework Equations The Attempt at a Solution I'm pretty sure that it's right, I just can't find formal proof, someone can give me direction.
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