Cho \(\int\limits_{-1}^{1}{f\left( x \right)\text{d}x}=2\) và \(\int\limits_{-1}^{1}{g\left( x \right)\text{d}x}=-7\), khi đó \(\int\limits_{-1}^{1}{\left[ f\left( x \right)-\frac{...

* Hướng dẫn giải

\(\int\limits_{ - 1}^1 {\left[ {f\left( x \right) - \frac{1}{7}g\left( x \right)} \right]{\rm{d}}x} = \int\limits_{ - 1}^1 {f\left( x \right){\rm{d}}x} - \frac{1}{7}\int\limits_{ - 1}^1 {g\left( x \right){\rm{d}}x} = 2 - \frac{1}{7}.\left( { - 7} \right) = 3\)