(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Suppose g is a differentiable on [a,b] and f = g', then does there exist a function f which is not integrable?

2. Relevant equations

3. The attempt at a solution

I've tried to look at pathological functions such as irrational, rational piecewise functions. but the g would not be differentiable. Moreover, it seems intuitive that the derivative of a function is integrable. Please help.

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# Homework Help: A differentiable function whose derivative is not integrable

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