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Câu hỏi: Nếu $\int\limits_{0}^{2}{f\left( x \right)\text{d}x}=2$ thì $\int\limits_{0}^{2}{\left[ 3f\left( x \right)-2x \right]\text{d}x}$ bằng
A. $-1$.
B. $-5$.
C. $2$.
D. $1$.
A. $-1$.
B. $-5$.
C. $2$.
D. $1$.
Ta có $\int\limits_{0}^{2}{\left[ 3f\left( x \right)-2x \right]\text{d}x}=3\int\limits_{0}^{2}{f\left( x \right)\text{d}x}-\int\limits_{0}^{2}{\text{2}x\text{d}x}=3.2-{{x}^{2}}\left| \begin{aligned}
& 2 \\
& 0 \\
\end{aligned} \right.=6-4=2$.
& 2 \\
& 0 \\
\end{aligned} \right.=6-4=2$.
Đáp án C.