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Nếu $\int\limits_{0}^{1}{f\left( x \right)\text{d}x}=2$ và...

Câu hỏi: Nếu $\int\limits_{0}^{1}{f\left( x \right)\text{d}x}=2$ và $\int\limits_{0}^{1}{g\left( x \right)\text{d}x}=3$ thì $\int\limits_{0}^{1}{\left[ 3f\left( x \right)-2g\left( x \right) \right]\text{d}x}$ bằng
A. $-1$.
B. $5$.
C. $-5$.
D. $0$.
Ta có $\int\limits_{0}^{1}{\left[ 3f\left( x \right)-2g\left( x \right) \right]\text{d}x}=3\int\limits_{0}^{1}{f\left( x \right)\text{d}x}-2\int\limits_{0}^{1}{g\left( x \right)\text{d}x}=3.2-2.3=0$.
Đáp án D.
 

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