Cho \(\int\limits_{-1}^{2}{f\left( x \right)\text{d}x}=2\) & \(\int\limits_{-1}^{2}{g\left( x \right)\text{d}x}=-1

* Hướng dẫn giải

\(I = \left. {\frac{{{x^2}}}{2}} \right|\begin{array}{*{20}{c}} 2\\ { - 1} \end{array} + 2\int\limits_{ - 1}^2 {f\left( x \right){\rm{d}}x} + 3\int\limits_{ - 1}^2 {g\left( x \right){\rm{d}}x} = \frac{3}{2} + 4 - 3 = \frac{5}{2}\)