- #1

jonsteadinho

- 4

- 0

## Homework Statement

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

## Homework Equations

## 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.