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Câu hỏi: Cho hàm số $f\left( x \right)=\dfrac{1}{3-5x}$. Khẳng định nào dưới đây đúng?
A. $\int{f\left( x \right)\text{d}x}=\dfrac{1}{3-5x}+C.$
B. $\int{f\left( x \right)\text{d}x}=\ln |3-5x|+C.$
C. $\int{f\left( x \right)\text{d}x}=\dfrac{-1}{5}\ln |3-5x|+C.$
D. $\int{f\left( x \right)\text{d}x}=\text{sin} x+\dfrac{{{x}^{2}}}{2}+C.$
A. $\int{f\left( x \right)\text{d}x}=\dfrac{1}{3-5x}+C.$
B. $\int{f\left( x \right)\text{d}x}=\ln |3-5x|+C.$
C. $\int{f\left( x \right)\text{d}x}=\dfrac{-1}{5}\ln |3-5x|+C.$
D. $\int{f\left( x \right)\text{d}x}=\text{sin} x+\dfrac{{{x}^{2}}}{2}+C.$
Ta có $\int{f\left( x \right)\text{d}x}=\int{\dfrac{1}{3-5x}\text{d}x}=\dfrac{-1}{5}\ln |3-5x|+C.$
Đáp án C.