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Câu hỏi: Họ nguyên hàm của hàm số $f\left( x \right)=\dfrac{1}{5x+4}$ là
A. $\dfrac{1}{\ln 5}\text{ln}\left| 5x+4 \right|+C.$
B. $\text{ln}\left| 5x+4 \right|+C.$
C. $\dfrac{1}{5}\text{ln}\left| 5x+4 \right|+C.$
D. $\dfrac{1}{5}\text{ln}\left| 5x+4 \right|+C.$
A. $\dfrac{1}{\ln 5}\text{ln}\left| 5x+4 \right|+C.$
B. $\text{ln}\left| 5x+4 \right|+C.$
C. $\dfrac{1}{5}\text{ln}\left| 5x+4 \right|+C.$
D. $\dfrac{1}{5}\text{ln}\left| 5x+4 \right|+C.$
Ta có: $\int{\dfrac{dx}{5x+4}=\dfrac{1}{5}\text{ln}\left| 5x+4 \right|+C.}$
Đáp án C.