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Câu hỏi: Tính $\int\limits_{0}^{1}{{{3}^{2\text{x}+1}}d\text{x}}$ thu được kết quả
A. $\dfrac{9}{\ln 9}$
B. $\dfrac{12}{\ln 3}$
C. $\dfrac{4}{\ln 3}$
D. $\dfrac{27}{\ln 9}$
A. $\dfrac{9}{\ln 9}$
B. $\dfrac{12}{\ln 3}$
C. $\dfrac{4}{\ln 3}$
D. $\dfrac{27}{\ln 9}$
Ta có: $\int\limits_{0}^{1}{{{3}^{2\text{x}+1}}d\text{x}}=\left. \dfrac{1}{2}.\dfrac{{{3}^{2\text{x}+1}}}{\ln 3} \right|_{0}^{1}=\dfrac{1}{2\ln 3}\left( {{3}^{3}}-3 \right)=\dfrac{12}{\ln 3}$.
Đáp án B.