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Câu hỏi: Cho $\int\limits_{0}^{1}{f\left( x \right)} \text{d}x =2$. Tính $\int\limits_{0}^{1}{ \left[ f\left( x \right)-2 \right]} \text{d}x .$
A. 2.
B. 0.
C. $- 4$.
D. 4.
A. 2.
B. 0.
C. $- 4$.
D. 4.
Ta có $\int\limits_{0}^{1}{ \left[ f\left( x \right)-2 \right]} \text{d}x = \int\limits_{0}^{1}{f\left( x \right)} \text{d}x - 2 . \int\limits_{0}^{1}{\text{d}x}$ $ =\int\limits_{0}^{1}{f\left( x \right)} \text{d}x - \left. 2 . x \right|_{0}^{1} =2-2= 0 .$
Đáp án B.