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Câu hỏi: Cho hàm số $f\left( x \right)={{7}^{x}}-1$. Khẳng định nào dưới đây đúng?
A. $\int{f\left( x \right)\text{d}x}=\dfrac{{{7}^{x}}}{\ln 7}+C$.
B. $\int{f\left( x \right)\text{d}x}=\dfrac{{{7}^{x-2}}}{x-2}+C$.
C. $\int{f\left( x \right)\text{d}x}={{7}^{x}}.\ln 7-x+C$.
D. $\int{f\left( x \right)\text{d}x}=\dfrac{{{7}^{x}}}{\ln 7}-x+C$.
A. $\int{f\left( x \right)\text{d}x}=\dfrac{{{7}^{x}}}{\ln 7}+C$.
B. $\int{f\left( x \right)\text{d}x}=\dfrac{{{7}^{x-2}}}{x-2}+C$.
C. $\int{f\left( x \right)\text{d}x}={{7}^{x}}.\ln 7-x+C$.
D. $\int{f\left( x \right)\text{d}x}=\dfrac{{{7}^{x}}}{\ln 7}-x+C$.
Ta có $\int{f\left( x \right)\text{d}x}=\int{\left( {{7}^{x}}-1 \right)\text{d}x}=\dfrac{{{7}^{x}}}{\ln 7}-x+C$.
Đáp án D.