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Câu hỏi: Tích phân $I=\int\limits_{0}^{3}{\dfrac{dx}{x+2}}$ bằng
A. $I=\dfrac{4581}{5000}.$
B. $I=\log \dfrac{5}{2}.$
C. $I=\ln \dfrac{5}{2}.$
D. $I=-\dfrac{21}{100}.$
A. $I=\dfrac{4581}{5000}.$
B. $I=\log \dfrac{5}{2}.$
C. $I=\ln \dfrac{5}{2}.$
D. $I=-\dfrac{21}{100}.$
Ta có $I=\ln \left| x+2 \right|\left| _{\begin{smallmatrix}
\\
0
\end{smallmatrix}}^{\begin{smallmatrix}
3 \\
\end{smallmatrix}} \right.=\ln 5-\ln 2=\ln \dfrac{5}{2}.$
\\
0
\end{smallmatrix}}^{\begin{smallmatrix}
3 \\
\end{smallmatrix}} \right.=\ln 5-\ln 2=\ln \dfrac{5}{2}.$
Đáp án C.