5.4 Indefinite Integrals and the Net Change Theorem/43

${\begin{aligned}\int \limits _{-1}^{2}(x-2|x|)dx\\[1ex]&=\int \limits _{-2}^{0}(x-2(-x))dx+\int \limits _{0}^{2}(x-2(x))dx\\[2ex]&=\left({x^{2}}\right)\end{aligned}}$