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Câu hỏi: Cho hàm số $f\left( x \right)={{x}^{2}}+\dfrac{1}{x}-{{e}^{x}}$. Khẳng định nào dưới đây đúng?
A. $\int{f}\left( x \right)\text{d}x=\dfrac{{{x}^{3}}}{3}+\ln \left| x \right|-{{e}^{x}}+C$.
B. $\int{f}\left( x \right)\text{d}x=\dfrac{{{x}^{3}}}{3}-\dfrac{1}{{{x}^{2}}}-{{e}^{x}}+C$.
C. $\int{f}\left( x \right)\text{d}x={{x}^{3}}+\ln x-{{e}^{x}}+C$.
D. $\int{f}\left( x \right)\text{d}x={{x}^{3}}-\ln \left| x \right|+C$.
A. $\int{f}\left( x \right)\text{d}x=\dfrac{{{x}^{3}}}{3}+\ln \left| x \right|-{{e}^{x}}+C$.
B. $\int{f}\left( x \right)\text{d}x=\dfrac{{{x}^{3}}}{3}-\dfrac{1}{{{x}^{2}}}-{{e}^{x}}+C$.
C. $\int{f}\left( x \right)\text{d}x={{x}^{3}}+\ln x-{{e}^{x}}+C$.
D. $\int{f}\left( x \right)\text{d}x={{x}^{3}}-\ln \left| x \right|+C$.
Ta có: $\int{f}\left( x \right)\text{d}x=\dfrac{{{x}^{3}}}{3}+\ln \left| x \right|-{{e}^{x}}+C$
Đáp án A.