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

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.

2. Relevant equations

None

3. The attempt at a solution

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

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Bounded Function being absolutely integrable but not integrable

**Physics Forums | Science Articles, Homework Help, Discussion**