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Câu hỏi: Nếu tích phân $\int\limits_{0}^{1}{f\left( x \right)\text{d}x}=-2$ và $\int\limits_{0}^{1}{g\left( x \right)\text{d}x}=7$ thì $\int\limits_{0}^{1}{\left[ 2f\left( x \right)-3g\left( x \right) \right]\text{d}x}$ bằng
A. $-25.$
B. $-12.$
C. $17.$
D. $25.$
A. $-25.$
B. $-12.$
C. $17.$
D. $25.$
Ta có: $\int\limits_{0}^{1}{\left[ 2f\left( x \right)-3g\left( x \right) \right]\text{d}x}=2\int\limits_{0}^{1}{f\left( x \right)\text{d}x}-3\int\limits_{0}^{1}{g\left( x \right)\text{d}x}=2.\left( -2 \right)-3.7=-25$.
Đáp án A.