Cho \(\int\limits_{a}^{c}{f\left( x \right)\text{d}x}=17\) & \(\int\limits_{b}^{c}{f\left( x \right)\text{d}x}=-11\)

* Hướng dẫn giải

Với a<b<c ta có: \(\int\limits_{a}^{c}{f\left( x \right)\text{d}x}=\int\limits_{a}^{b}{f\left( x \right)\text{d}x}+\int\limits_{b}^{c}{f\left( x \right)\text{d}x}\).

\(\Rightarrow I=\int\limits_{a}^{b}{f\left( x \right)\text{d}x}=\int\limits_{a}^{c}{f\left( x \right)\text{d}x}-\int\limits_{b}^{c}{f\left( x \right)\text{d}x}=17+11=28\).