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Câu hỏi: Tích phân $\int\limits_{0}^{1}{x.\left( {{x}^{2}}+3 \right)dx}$ bằng
A. 2.
B. 1.
C. $\dfrac{4}{7}$.
D. $\dfrac{7}{4}$.
A. 2.
B. 1.
C. $\dfrac{4}{7}$.
D. $\dfrac{7}{4}$.
Ta có $\int\limits_{0}^{1}{x\left( {{x}^{2}}+3 \right)dx}=\int\limits_{0}^{1}{\left( {{x}^{3}}+3x \right)dx}=\left. \left( \dfrac{{{x}^{4}}}{4}+\dfrac{3{{x}^{2}}}{2} \right) \right|_{0}^{1}=\dfrac{7}{4}$.
Đáp án D.