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Câu hỏi: Nguyên hàm của hàm số $f\left( x \right)={{3}^{x}}+{{x}^{2}}$ là
A. $\int{f\left( x \right)dx}=\dfrac{{{3}^{x}}}{\ln 3}+\dfrac{{{x}^{3}}}{3}+C.$
B. $\int{f\left( x \right)dx=\dfrac{{{3}^{x}}}{\ln 3}+1+C.}$
C. $\int{f\left( x \right)dx={{3}^{x}}\ln 3+\dfrac{{{x}^{3}}}{3}+C.}$
D. $\int{f\left( x \right)dx=\dfrac{1}{{{3}^{x}}.\ln 3}+\dfrac{{{x}^{3}}}{3}+C.}$
A. $\int{f\left( x \right)dx}=\dfrac{{{3}^{x}}}{\ln 3}+\dfrac{{{x}^{3}}}{3}+C.$
B. $\int{f\left( x \right)dx=\dfrac{{{3}^{x}}}{\ln 3}+1+C.}$
C. $\int{f\left( x \right)dx={{3}^{x}}\ln 3+\dfrac{{{x}^{3}}}{3}+C.}$
D. $\int{f\left( x \right)dx=\dfrac{1}{{{3}^{x}}.\ln 3}+\dfrac{{{x}^{3}}}{3}+C.}$
Ta có $\int{f\left( x \right)dx}=\dfrac{{{3}^{x}}}{\ln 3}+\dfrac{{{x}^{3}}}{3}+C.$
Đáp án A.