Cho \(\int\limits_0^1 {f\left( x \right)dx} = - 2\) và \(\int\limits_0^1 {g\left( x \right)dx} = - 5\), khi đó \(\int\limits_0^1 {\left[ {f\left( x \right) + 3g\left( x \right)...

* Hướng dẫn giải

\(\int\limits_0^1 {\left[ {f\left( x \right) + 3g\left( x \right)} \right]dx} \)\( = \int\limits_0^1 {f\left( x \right)dx}  + 3\int\limits_0^1 {g\left( x \right)dx} \) \( =  - 2 + 3.\left( { - 5} \right) =  - 17\).