Cho \(\int\limits_0^1 {f\left( x \right){\rm{d}}x} = - 2\) và \(\int\limits_0^1 {g\left( x \right){\rm{d}}x} = 7\), khi đó \(\int\limits_0^1 {\left[ {2f\left( x \right) - 3g\lef...

Câu hỏi :

Cho \(\int\limits_0^1 {f\left( x \right){\rm{d}}x}  =  - 2\) và \(\int\limits_0^1 {g\left( x \right){\rm{d}}x}  = 7\), khi đó \(\int\limits_0^1 {\left[ {2f\left( x \right) - 3g\left( x \right)} \right]{\rm{d}}x} \) bằng

A. -12

B. 25

C. -25

D. 17

* Đáp án

C

* Hướng dẫn giải

\(\int\limits_0^1 {\left[ {2f\left( x \right) - 3g\left( x \right)} \right]{\rm{d}}x} = 2\int\limits_0^1 {f\left( x \right){\rm{d}}x} - 3\int\limits_0^1 {g\left( x \right){\rm{d}}x} = 2.\left( { - 2} \right) - 3.7 = - 25\)

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