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Câu hỏi: Tích phân $\int\limits_{1}^{2}{{{x}^{3}}dx}$ bằng
A. $\dfrac{15}{3}.$
B. $\dfrac{17}{4}.$
C. $\dfrac{7}{4}.$
D. $\dfrac{15}{4}.$
A. $\dfrac{15}{3}.$
B. $\dfrac{17}{4}.$
C. $\dfrac{7}{4}.$
D. $\dfrac{15}{4}.$
Cách giải:
$\int\limits_{1}^{2}{{{x}^{3}}dx=\dfrac{1}{4}{{x}^{4}}\left| \begin{aligned}
& 2 \\
& 1 \\
\end{aligned} \right.}=4-\dfrac{1}{4}=\dfrac{15}{4}.$
$\int\limits_{1}^{2}{{{x}^{3}}dx=\dfrac{1}{4}{{x}^{4}}\left| \begin{aligned}
& 2 \\
& 1 \\
\end{aligned} \right.}=4-\dfrac{1}{4}=\dfrac{15}{4}.$
Đáp án D.