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Câu hỏi: Tích phân $\int\limits_{0}^{2021}{{{2}^{x}}dx}$ bằng
A. $\dfrac{{{2}^{2021}}}{\ln 2}$.
B. $\dfrac{{{2}^{2021}}-1}{\ln 2}$.
C. ${{2}^{2021}}-1$.
D. ${{2}^{2021}}$.
A. $\dfrac{{{2}^{2021}}}{\ln 2}$.
B. $\dfrac{{{2}^{2021}}-1}{\ln 2}$.
C. ${{2}^{2021}}-1$.
D. ${{2}^{2021}}$.
Ta có $\int\limits_{0}^{2021}{{{2}^{x}}dx}=\left. \dfrac{{{2}^{x}}}{\ln 2} \right|_{0}^{2021}=\dfrac{{{2}^{2021}}-1}{\ln 2}$
Đáp án B.