Answer
$\displaystyle \frac{u^{3}}{3}-\ln|u|+C$
Work Step by Step
$\displaystyle \int(u^{2}-u^{-1})du= $...Sum and Difference RuIes
$=\displaystyle \int u^{2}du-\int u^{-1}du=$
... Power Rule, for $n\neq-1, $and for $n=-1$
$=\displaystyle \frac{u^{2+1}}{2+1}-\ln|u|+C$
$=\displaystyle \frac{u^{3}}{3}-\ln|u|+C$