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