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Câu hỏi: Khẳng định nào dưới đây đúng?
A. $\int{{{x}^{\dfrac{1}{3}}}\text{d}x}={{x}^{\dfrac{4}{3}}}+C$.
B. $\int{{{x}^{\dfrac{1}{3}}}\text{d}x}={{x}^{\dfrac{2}{3}}}+C$.
C. $\int{{{x}^{\dfrac{1}{3}}}\text{d}x}=\dfrac{3}{4}{{x}^{\dfrac{4}{3}}}+C$.
D. $\int{{{x}^{\dfrac{1}{3}}}\text{d}x}=\dfrac{3}{2}{{x}^{\dfrac{2}{3}}}+C$.
A. $\int{{{x}^{\dfrac{1}{3}}}\text{d}x}={{x}^{\dfrac{4}{3}}}+C$.
B. $\int{{{x}^{\dfrac{1}{3}}}\text{d}x}={{x}^{\dfrac{2}{3}}}+C$.
C. $\int{{{x}^{\dfrac{1}{3}}}\text{d}x}=\dfrac{3}{4}{{x}^{\dfrac{4}{3}}}+C$.
D. $\int{{{x}^{\dfrac{1}{3}}}\text{d}x}=\dfrac{3}{2}{{x}^{\dfrac{2}{3}}}+C$.
Áp dụng công thức $\int{{{x}^{\alpha }}\text{d}x}=\dfrac{{{x}^{\alpha +1}}}{\alpha +1}+C,\alpha \ne -1$.
Đáp án C.