Nếu \(\int\limits_{0}^{1}{f\left( x \right)}\,\text{d}x=2\) và \(\int\limits_{0}^{3}{f\left( x \right)}\,\text{d}x=-4\) thì \(\int\limits_{1}^{3}{f\left( x \right)}\,\text{d}x\) bằ...

* Hướng dẫn giải

\(\int\limits_0^1 {f\left( x \right)} \,{\rm{d}}x + \int\limits_1^3 {f\left( x \right)} \,{\rm{d}}x = \int\limits_0^3 {f\left( x \right)} \,{\rm{d}}x\)

Suy ra \(\int\limits_1^3 {f\left( x \right)} \,{\rm{d}}x = \int\limits_0^3 {f\left( x \right)} \,{\rm{d}}x - \int\limits_0^1 {f\left( x \right)} \,{\rm{d}}x =  - \,4 - 2 =  - 6\)