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