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Câu hỏi: Cho hàm số $f(x)=1+{{3}^{x}}$. Khẳng định nào dưới đây đúng?
A. $\int{f}(x)\text{d}x=x+\dfrac{{{3}^{x}}}{\ln 3}+C$.
B. $\int{f}(x)\text{d}x=x+\dfrac{1}{\ln x}+C$.
C. $\int{f}(x)\text{d}x=x+{{3}^{x}}\ln 3+C$.
D. $\int{f}(x)\text{d}x=x+{{3}^{x}}\ln x+C$.
A. $\int{f}(x)\text{d}x=x+\dfrac{{{3}^{x}}}{\ln 3}+C$.
B. $\int{f}(x)\text{d}x=x+\dfrac{1}{\ln x}+C$.
C. $\int{f}(x)\text{d}x=x+{{3}^{x}}\ln 3+C$.
D. $\int{f}(x)\text{d}x=x+{{3}^{x}}\ln x+C$.
$\int{f}(x)\text{d}x=\int{\left( 1+{{3}^{x}} \right)\text{d}x=}x+\dfrac{{{3}^{x}}}{\ln 3}+C$.
Đáp án A.