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Câu hỏi: Tích phân $\int\limits_{0}^{1}{\left( {{x}^{2}}+x \right)dx}$ bằng
A. $3$.
B. $\dfrac{5}{6}$.
C. $\dfrac{6}{5}$.
D. $2$.
A. $3$.
B. $\dfrac{5}{6}$.
C. $\dfrac{6}{5}$.
D. $2$.
Ta có: $\int\limits_{0}^{1}{\left( {{x}^{2}}+x \right)dx}=\left. \left( \dfrac{{{x}^{3}}}{3}+\dfrac{{{x}^{2}}}{2} \right) \right|_{0}^{1}=\left( \dfrac{1}{3}+\dfrac{1}{2} \right)-0=\dfrac{5}{6}$.
Đáp án B.