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Câu hỏi: Tích phân $\int\limits_{0}^{1}{{{10}^{x}}dx}$ bằng
A. 90
B. 9ln10
C. $\dfrac{9}{\ln 10}$
D. $\dfrac{\ln 10}{9}$
A. 90
B. 9ln10
C. $\dfrac{9}{\ln 10}$
D. $\dfrac{\ln 10}{9}$
Ta có $\int\limits_{0}^{1}{{{10}^{x}}dx}=\dfrac{{{10}^{x}}}{\ln 10}\left| \begin{aligned}
& ^{1} \\
& _{0} \\
\end{aligned} \right.=\dfrac{10}{\ln 10}-\dfrac{1}{\ln 10}=\dfrac{9}{\ln 10}$
& ^{1} \\
& _{0} \\
\end{aligned} \right.=\dfrac{10}{\ln 10}-\dfrac{1}{\ln 10}=\dfrac{9}{\ln 10}$
Đáp án C.