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Câu hỏi: Khẳng định nào sau đây đúng?
A. $\int{\cos xdx}=-\sin x+C$.
B. $\int{{{x}^{5}}dx}=\dfrac{1}{5}{{x}^{6}}+C$.
C. $\int{{{e}^{x}}dx}=\dfrac{{{e}^{x+1}}}{x+1}+C, \forall x\ne -1$.
D. $\int{\dfrac{1}{x}dx}=\ln \left| 2023x \right|+C$.
A. $\int{\cos xdx}=-\sin x+C$.
B. $\int{{{x}^{5}}dx}=\dfrac{1}{5}{{x}^{6}}+C$.
C. $\int{{{e}^{x}}dx}=\dfrac{{{e}^{x+1}}}{x+1}+C, \forall x\ne -1$.
D. $\int{\dfrac{1}{x}dx}=\ln \left| 2023x \right|+C$.
Ta có: $\int{\dfrac{1}{x}dx}=\int{\dfrac{2023}{2023x}dx}=\int{\dfrac{d\left( 2023x \right)}{2023x}=}\ln \left| 2023x \right|+C$.
Đáp án D.