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$\int\limits_{1}^{2}{\dfrac{dx}{3x-2}}$ bằng

Câu hỏi: $\int\limits_{1}^{2}{\dfrac{dx}{3x-2}}$ bằng
A. $2\ln 2.$
B. $\dfrac{1}{3}\ln 2.$
C. $\dfrac{2}{3}\ln 2.$
D. $\ln 2.$
Ta có $\int\limits_{1}^{2}{\dfrac{dx}{3x-2}}=\left. \dfrac{1}{3}\ln \left| 3x-2 \right| \right|_{1}^{2}=\dfrac{1}{3}\ln 4-\ln 1=\dfrac{2}{3}\ln 2.$
Đáp án C.
 

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