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Câu hỏi: Cho $\int\limits_{0}^{1}{f\left( x \right)\text{d}x}=2$ và $\int\limits_{1}^{0}{g\left( x \right)\text{d}x}=5$ khi đó $\int\limits_{0}^{1}{\left[ f\left( x \right)-2g\left( x \right) \right]\text{d}x}$ bằng
A. $-3$.
B. $12$.
C. $-8$.
D. $1$.
A. $-3$.
B. $12$.
C. $-8$.
D. $1$.
Xét $\int\limits_{0}^{1}{\left[ f\left( x \right)-2g\left( x \right) \right]\text{d}x}$ $=\int\limits_{0}^{1}{f\left( x \right)\text{d}x}-\int\limits_{0}^{1}{2g\left( x \right)\text{d}x}$ $=\int\limits_{0}^{1}{f\left( x \right)\text{d}x}+\int\limits_{1}^{0}{2g\left( x \right)\text{d}x}$ $=12$.
Đáp án B.