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Câu hỏi: Nếu $\int\limits_{0}^{2}{\left( 2x-3f\left( x \right) \right)\text{d}x=3}$ thì $\int\limits_{0}^{2}{f\left( x \right)}\text{d}x$ bằng
A. $-\dfrac{1}{3}$.
B. $-\dfrac{5}{2}$.
C. $\dfrac{5}{2}$.
D. $\dfrac{1}{3}$
A. $-\dfrac{1}{3}$.
B. $-\dfrac{5}{2}$.
C. $\dfrac{5}{2}$.
D. $\dfrac{1}{3}$
$\int\limits_{0}^{2}{\left( 2x-3f\left( x \right) \right)\text{d}x=3}\Leftrightarrow \int\limits_{0}^{2}{2x\text{d}x}-3\int\limits_{0}^{2}{f\left( x \right)\text{d}x}=3\Leftrightarrow 4-3\int\limits_{0}^{2}{f\left( x \right)\text{d}x}=3\Leftrightarrow \int\limits_{0}^{2}{f\left( x \right)\text{d}x}=\dfrac{1}{3}$.
Đáp án D.