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Câu hỏi: Cho hàm số $f(x)=2{{x}^{2}}+{{e}^{2x}}$. Khẳng định nào sau đây đúng?
A. $\int{f\left( x \right)}dx=4{{x}^{2}}+2{{e}^{2x}}+C$.
B. $\int{f\left( x \right)}dx=2{{x}^{3}}+\dfrac{1}{2}{{e}^{2x}}+C$.
C. $\int{f\left( x \right)}dx=\dfrac{2}{3}{{x}^{3}}+\dfrac{1}{2}{{e}^{2x}}+C$.
D. $\int{f\left( x \right)}dx=\dfrac{2}{3}{{x}^{3}}+{{e}^{2x}}+C$.
A. $\int{f\left( x \right)}dx=4{{x}^{2}}+2{{e}^{2x}}+C$.
B. $\int{f\left( x \right)}dx=2{{x}^{3}}+\dfrac{1}{2}{{e}^{2x}}+C$.
C. $\int{f\left( x \right)}dx=\dfrac{2}{3}{{x}^{3}}+\dfrac{1}{2}{{e}^{2x}}+C$.
D. $\int{f\left( x \right)}dx=\dfrac{2}{3}{{x}^{3}}+{{e}^{2x}}+C$.
Ta có: $\int{f\left( x \right)}dx=\dfrac{2}{3}{{x}^{3}}+\dfrac{1}{2}{{e}^{2x}}+C$.
Đáp án C.