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