Google
Câu hỏi: Tích phân $\int\limits_{0}^{2}{\dfrac{dx}{x+3}}$ bằng
A. $\dfrac{16}{225}.$
B. $\log \dfrac{5}{3}.$
C. $\ln \dfrac{5}{3}.$
D. $\dfrac{2}{15}.$
A. $\dfrac{16}{225}.$
B. $\log \dfrac{5}{3}.$
C. $\ln \dfrac{5}{3}.$
D. $\dfrac{2}{15}.$
Ta có: $\int\limits_{0}^{2}{\dfrac{dx}{x+3}=\ln \left| x+3 \right|\left| _{3}^{2} \right.=\ln \left| 2+3 \right|-\ln \left| 0+3 \right|=\ln \dfrac{5}{3}.}$
Đáp án C.