Cho \(\int\limits_{-1}^{2}{f(x)\text{d}x}=3\), \(\int\limits_{-1}^{5}{f(x)\text{d}x}=-6\). Tính \(\text{I}=\int\limits_{2}^{5}{f(x)\text{d}x}\)

* Hướng dẫn giải

\(\int\limits_{ - 1}^5 {f{\rm{(}}x){\rm{d}}x}  = \int\limits_{ - 1}^2 {f(x){\rm{d}}x}  + \int\limits_2^5 {f(x){\rm{d}}x} \)

\( \Rightarrow \int\limits_2^5 {f(x){\rm{d}}x}  = \int\limits_{ - 1}^5 {f(x){\rm{d}}x}  - \int\limits_{ - 1}^2 {f(x){\rm{d}}x}  =  - 6 - 3 =  - 9\)