Cho \(\int\limits_{0}^{1}{f\left( x \right)\text{d}x}=-2\) và \(\int\limits_{1}^{5}{\left( 2f\left( x \right) \right)\text{d}x}=6\) khi đó \(\int\limits_{0}^{5}{f\left( x \right)\t...

* Hướng dẫn giải

\(\int\limits_1^5 {\left( {2f\left( x \right)} \right){\rm{d}}x = 6 \Leftrightarrow \int\limits_1^5 {f\left( x \right){\rm{d}}x = 3} } \)

\(\int\limits_0^5 {f\left( x \right){\rm{d}}x}  = \int\limits_0^1 {f\left( x \right){\rm{d}}x}  + \int\limits_1^5 {f\left( x \right){\rm{d}}x}  =  - 2 + 3 = 1\)