- #1

jdz86

- 21

- 0

## Homework Statement

If f:[a,b] [tex]\rightarrow[/tex] [tex]\Re[/tex] is bounded then so is |f|, where |f|(x) = |f(x)|. Call f absolutely integrable if |f| is integrable on [a,b]. Give an example of a bounded function which is absolutely integrable but not integrable.

## Homework Equations

None

## The Attempt at a Solution

I was thinking [tex]\sqrt{x}[/tex] but was unsure of how to show it.