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Nếu $\int\limits_{1}^{5}{f\left( x \right)\text{d}x=4}$ và...

Câu hỏi: Nếu $\int\limits_{1}^{5}{f\left( x \right)\text{d}x=4}$ và $\int\limits_{1}^{5}{g\left( x \right)\text{d}x=-4}$ thì $\int\limits_{1}^{5}{\left[ f\left( x \right)-2g\left( x \right) \right]dx}$ bằng
A. $12$.
B. $48$.
C. $-4$.
D. $-12$.
Ta có $\int\limits_{1}^{5}{\left[ f\left( x \right)-2g\left( x \right) \right]\text{d}x}=\int\limits_{1}^{5}{f\left( x \right)\text{d}x}-2\int\limits_{1}^{5}{g\left( x \right)\text{d}x}=4-2\left( -4 \right)=12$.
Đáp án A.
 

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