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