Nếu \(\int\limits_{0}^{2}{\left[ f\left( x \right)-x \right]}dx=1\) thì \(\int\limits_{0}^{2}{f\left( x \right)dx}\) bằng

* Hướng dẫn giải

\(1 = \int\limits_0^2 {\left[ {f\left( x \right) - x} \right]} dx = \int\limits_0^2 {f\left( x \right)dx - \int\limits_0^2 {xdx} }  = \int\limits_0^2 {f\left( x \right)dx}  - 2 \Leftrightarrow \int\limits_0^2 {f\left( x \right)dx = 3} \)