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