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Câu hỏi: Cho $\int\limits_{2}^{5}{f\left( x \right)\text{d}x}=10$. Kết quả $\int\limits_{2}^{5}{\left[ 2-3x-4f\left( x \right) \right]\text{d}x}$ bằng
A. $\dfrac{-51}{2}$.
B. $\dfrac{-131}{2}$.
C. $\dfrac{-291}{2}$.
D. $\dfrac{51}{2}$.
A. $\dfrac{-51}{2}$.
B. $\dfrac{-131}{2}$.
C. $\dfrac{-291}{2}$.
D. $\dfrac{51}{2}$.
Ta có: $\int\limits_{2}^{5}{\left[ 2-3x-4f\left( x \right) \right]\text{d}x}=\int\limits_{2}^{5}{(2-3x)\text{d}x}-4\int\limits_{2}^{5}{f(x)\text{d}x}=\dfrac{-51}{2}-4.10=\dfrac{-131}{2}.$
Đáp án B.