Tích phân \(I = \int\limits_{ - 1}^2 {\left| {{x^2...

A

- Hướng dẫn giải

$\begin{array}{l}I = \int\limits_{ - 1}^2 {\left| {{x^2} - x} \right|} dx\\ = \int\limits_{ - 1}^0 {\left( {{x^2} - x} \right)} dx + \int\limits_0^2 {\left( { - {x^2} + x} \right)} dx\\ = \left. {\left( {\frac{1}{3}{x^3} - \frac{1}{2}{x^2}} \right)} \right|_{ - 1}^0 + \left. {\left( { - \frac{1}{3}{x^3} + \frac{1}{2}{x^2}} \right)} \right|_0^2\\ = \frac{3}{2}\end{array}$