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Câu hỏi: Khẳng định nào sau đây đúng?
A. $\int{{{x}^{3}}\text{d}x}=\dfrac{1}{3}{{x}^{4}}+C$
B. $\int{{{x}^{3}}\text{d}x}={{x}^{4}}+C$.
C. $\int{{{x}^{3}}\text{d}x}=\dfrac{1}{4}{{x}^{4}}+C$.
D. $\int{{{x}^{3}}\text{d}x}=3{{x}^{2}}+C$.
Ta có $\int{{{x}^{3}}\text{d}x}=\dfrac{1}{4}{{x}^{4}}+C$ do ${{\left( \dfrac{1}{4}{{x}^{4}} \right)}^{\prime }}={{x}^{3}}$.
A. $\int{{{x}^{3}}\text{d}x}=\dfrac{1}{3}{{x}^{4}}+C$
B. $\int{{{x}^{3}}\text{d}x}={{x}^{4}}+C$.
C. $\int{{{x}^{3}}\text{d}x}=\dfrac{1}{4}{{x}^{4}}+C$.
D. $\int{{{x}^{3}}\text{d}x}=3{{x}^{2}}+C$.
Ta có $\int{{{x}^{3}}\text{d}x}=\dfrac{1}{4}{{x}^{4}}+C$ do ${{\left( \dfrac{1}{4}{{x}^{4}} \right)}^{\prime }}={{x}^{3}}$.
Đáp án C.