Possible Duplicate:
Riemann Integrable $f$ and Real Analysis Proofs
I am solving old comprehensive real analysis exams and there are two questions that I can not be sure,
If $f$ is Riemann integrable then $|f|^r$ is riemann integrable for any $r>0$.( True or False) I feel it is wrong indeed but couldn't find any counter example)
$1 < p < q < r < \infty$ a function which is in $L^q$ but not in $L^p$ and not in $L^r$.
Thank you for any help.