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Câu hỏi: Cho hàm số $f\left( x \right)=\sin 2x+3{{x}^{2}}$. Khẳng định nào dưới đây đúng?
A. $\int{f\left( x \right)}\text{d}x=\cos 2x+{{x}^{3}}+C$.
B. $\int{f\left( x \right)}\text{d}x=-\cos 2x+{{x}^{3}}+C$.
C. $\int{f\left( x \right)}\text{d}x=-\dfrac{1}{2}\cos 2x+{{x}^{3}}+C$.
D. $\int{f\left( x \right)}\text{d}x=-\dfrac{1}{2}\cos 2x+6x+C$.
A. $\int{f\left( x \right)}\text{d}x=\cos 2x+{{x}^{3}}+C$.
B. $\int{f\left( x \right)}\text{d}x=-\cos 2x+{{x}^{3}}+C$.
C. $\int{f\left( x \right)}\text{d}x=-\dfrac{1}{2}\cos 2x+{{x}^{3}}+C$.
D. $\int{f\left( x \right)}\text{d}x=-\dfrac{1}{2}\cos 2x+6x+C$.
Ta có $\int{f\left( x \right)}\text{d}x=\int{\left( \sin 2x+3{{x}^{2}} \right)}\text{d}x=-\dfrac{1}{2}\cos 2x+{{x}^{3}}+C$.
Đáp án C.