Answer
$-2$
Work Step by Step
$\int^{-1}_{-2} (u-\frac{1}{u^2})du$
$\int^{-1}_{-2} (u-u^{-2})du$, Rewrite
$ {\frac{1}{2}u^2 + u^{-1} }]^{-1}_{-2}$, Integrate the Function
$(\frac{1}{2}-1) - (2-\frac{1}{2}) $, Take Definite Integral
$-2$, Simplify