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Câu hỏi: Tính $\int{\left( x-\sin 2x \right)dx.}$
A. ${{x}^{2}}+\dfrac{\cos 2x}{2}+C.$
B. $\dfrac{{{x}^{2}}}{2}+\dfrac{\cos 2x}{2}+C.$
C. $\dfrac{{{x}^{2}}}{2}+\cos 2x+C.$
D. $\dfrac{{{x}^{2}}}{2}+\sin x+C.$
A. ${{x}^{2}}+\dfrac{\cos 2x}{2}+C.$
B. $\dfrac{{{x}^{2}}}{2}+\dfrac{\cos 2x}{2}+C.$
C. $\dfrac{{{x}^{2}}}{2}+\cos 2x+C.$
D. $\dfrac{{{x}^{2}}}{2}+\sin x+C.$
Ta có $\int\limits_{{}}^{{}}{\left( x-\sin 2x \right)dx}=\int\limits_{{}}^{{}}{xdx}-\int\limits_{{}}^{{}}{\sin 2xdx}=\dfrac{{{x}^{2}}}{2}+\dfrac{\cos 2x}{2}+C.$
Đáp án B.