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Câu hỏi: Nếu $\int\limits_{0}^{2}{f\left( x \right)\text{d}x}=2$ thì $\int\limits_{0}^{2}{\left[ 4x-f\left( x \right) \right]\text{d}x}$ bằng
A. $12$.
B. $10$.
C. $4$.
D. $6$.
A. $12$.
B. $10$.
C. $4$.
D. $6$.
Ta có $\int\limits_{0}^{2}{\left[ 4x-f\left( x \right) \right]\text{d}x}=\int\limits_{0}^{2}{4x\text{d}x}-\int\limits_{0}^{2}{f\left( x \right)dx}$ $=\left. 2{{x}^{2}} \right|_{0}^{2}-2=6$.
Đáp án D.