Nếu \(\int\limits_{-1}^{4}{f\left( x \right)\text{d}x=10}\) và \(\int\limits_{-1}^{3}{f\left( x \right)\text{d}x=4}\) thì \(\int\limits_{3}^{4}{f\left( x \right)\text{d}x}\) bằng:

* Hướng dẫn giải

\(\int\limits_{ - 1}^4 {f\left( x \right){\rm{d}}x = \int\limits_{ - 1}^3 {f\left( x \right){\rm{d}}x}  + \int\limits_3^4 {f\left( x \right){\rm{d}}x}  \Leftrightarrow 10 = 4 + \int\limits_3^4 {f\left( x \right){\rm{d}}x}  \Leftrightarrow \int\limits_3^4 {f\left( x \right){\rm{d}}x}  = 10 - 4 = 6} \)