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Câu hỏi: Tích phân $\int\limits_{0}^{1}{{{3}^{2x+1}}}dx$ bằng
A. $\dfrac{27}{\ln 9}$
B. $\dfrac{9}{\ln 9}$
C. $\dfrac{4}{\ln 3}$
D. $\dfrac{12}{\ln 3}$
A. $\dfrac{27}{\ln 9}$
B. $\dfrac{9}{\ln 9}$
C. $\dfrac{4}{\ln 3}$
D. $\dfrac{12}{\ln 3}$
Ta có $I=\dfrac{1}{2}.\dfrac{{{3}^{2\text{x}+1}}}{\ln 3}\left| \begin{matrix}
\begin{matrix}
1 \\
0 \\
\end{matrix}=\dfrac{12}{\ln 3} \\
\end{matrix} \right.$
\begin{matrix}
1 \\
0 \\
\end{matrix}=\dfrac{12}{\ln 3} \\
\end{matrix} \right.$
Đáp án D.