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Câu hỏi: Khẳng định nào sau đây là đúng?
A. $\int{{{2}^{-x}}\text{d}x}={{2}^{-x}}\ln 2+C$.
B. $\int{{{2}^{-x}}\text{d}x}=-{{2}^{-x}}\ln 2+C$.
C. $\int{{{2}^{-x}}\text{d}x}=\dfrac{{{2}^{-x}}}{\ln 2}+C$.
D. $\int{{{2}^{-x}}\text{d}x}=-\dfrac{{{2}^{-x}}}{\ln 2}+C$.
A. $\int{{{2}^{-x}}\text{d}x}={{2}^{-x}}\ln 2+C$.
B. $\int{{{2}^{-x}}\text{d}x}=-{{2}^{-x}}\ln 2+C$.
C. $\int{{{2}^{-x}}\text{d}x}=\dfrac{{{2}^{-x}}}{\ln 2}+C$.
D. $\int{{{2}^{-x}}\text{d}x}=-\dfrac{{{2}^{-x}}}{\ln 2}+C$.
Ta có $\int{{{2}^{-x}}\text{d}x}=-\int{{{2}^{-x}}\text{d}\left( -x \right)}=-\dfrac{{{2}^{-x}}}{\ln 2}+C$.
Đáp án D.