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Câu hỏi: Tích phân $\int\limits_{0}^{3}{\dfrac{dx}{x+3}}$ bằng
A. $\dfrac{2}{15}$
B. $\log \dfrac{5}{3}$
C. $\ln \dfrac{5}{3}$
D. $\dfrac{16}{225}$
A. $\dfrac{2}{15}$
B. $\log \dfrac{5}{3}$
C. $\ln \dfrac{5}{3}$
D. $\dfrac{16}{225}$
$\int\limits_{0}^{2}{\dfrac{dx}{x+3}}=\left( \ln \left| x+3 \right| \right)\left| \begin{aligned}
& 2 \\
& 0 \\
\end{aligned} \right.=\ln 5-\ln 3=\ln \dfrac{5}{3}.$
& 2 \\
& 0 \\
\end{aligned} \right.=\ln 5-\ln 3=\ln \dfrac{5}{3}.$
Đáp án C.