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Câu hỏi: Khẳng định nào dưới đây đúng?
A. $\int x^{\dfrac{1}{3}} d x=x^{\dfrac{4}{3}}+C$.
B. $x^{\dfrac{1}{3}} \mathrm{~d} x=\dfrac{3}{4} x^{\dfrac{4}{3}}+C$.
C. $\int x^{\dfrac{1}{3}} \mathrm{~d} x=x^{\dfrac{2}{3}}+C$.
D. $\int x^{\dfrac{1}{3}} d x=\dfrac{3}{2} x^{\dfrac{2}{3}}+C$.
A. $\int x^{\dfrac{1}{3}} d x=x^{\dfrac{4}{3}}+C$.
B. $x^{\dfrac{1}{3}} \mathrm{~d} x=\dfrac{3}{4} x^{\dfrac{4}{3}}+C$.
C. $\int x^{\dfrac{1}{3}} \mathrm{~d} x=x^{\dfrac{2}{3}}+C$.
D. $\int x^{\dfrac{1}{3}} d x=\dfrac{3}{2} x^{\dfrac{2}{3}}+C$.
Ta có $\int{{{x}^{\dfrac{1}{3}}}~\text{d}x}=\dfrac{1}{\dfrac{1}{3}+1}{{x}^{\dfrac{1}{3}+1}}+C=\dfrac{3}{4}{{x}^{\dfrac{4}{3}}}+C$ với $C\in \mathbb{R}$.
Đáp án B.