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Câu hỏi: Cho hàm số $f\left( x \right)={{2}^{x}}+3$. Khẳng định nào sau đây đúng?
A. $\int{f\left( x \right)}\text{d}x={{2}^{x-3}}+C$.
B. $\int{f\left( x \right)}\text{d}x={{2}^{x}}\ln 2+3x+C$.
C. $\int{f\left( x \right)}\text{d}x=\dfrac{{{2}^{x}}}{\ln 2}+3+C$.
D. $\int{f\left( x \right)}\text{d}x=\dfrac{{{2}^{x}}}{\ln 2}+3x+C$.
A. $\int{f\left( x \right)}\text{d}x={{2}^{x-3}}+C$.
B. $\int{f\left( x \right)}\text{d}x={{2}^{x}}\ln 2+3x+C$.
C. $\int{f\left( x \right)}\text{d}x=\dfrac{{{2}^{x}}}{\ln 2}+3+C$.
D. $\int{f\left( x \right)}\text{d}x=\dfrac{{{2}^{x}}}{\ln 2}+3x+C$.
Ta có: $\int{f\left( x \right)}\text{d}x=\int{\left( {{2}^{x}}+3 \right)}\text{d}x=\dfrac{{{2}^{x}}}{\ln 2}+3x+C$.
Đáp án D.
