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

* Hướng dẫn giải

\(\int\limits_a^c {f\left( x \right){\rm{d}}x}  = \int\limits_a^b {f\left( x \right){\rm{d}}x}  + \int\limits_b^c {f\left( x \right){\rm{d}}x} \)

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