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Nếu $\int\limits_{0}^{2}{f\left( x \right)\text{d}x}=3...

Câu hỏi: Nếu $\int\limits_{0}^{2}{f\left( x \right)\text{d}x}=3, \int\limits_{0}^{2}{g\left( x \right)\text{d}x}=-1$ thì $\int\limits_{0}^{2}{\left[ f\left( x \right)-5g\left( x \right)+x \right]\text{d}x}$ bằng
A. $12$.
B. $0$.
C. $8$.
D. $10$.
Ta có: $\int\limits_{0}^{2}{\left[ f\left( x \right)-5g\left( x \right)+x \right]\text{d}x}=\int\limits_{0}^{2}{f\left( x \right)\text{d}x}-5\int\limits_{0}^{2}{g\left( x \right)\text{d}x}+\int\limits_{0}^{2}{x\text{d}x}=3-5.\left( -1 \right)+2=10$
Đáp án D.
 

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