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