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