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Gaokao Math Practice Question

11. 函数 $f(x)=\cos x+(x+1) \sin x+1$ 在区间 $[0,2 \pi]$ 的最小值、最大值分别为 ()

  1. A.$-\frac{\pi}{2}, \frac{\pi}{2}$
  2. B.$-\frac{3 \pi}{2}, \frac{\pi}{2}$
  3. C.$-\frac{\pi}{2}, \frac{\pi}{2}+2$
  4. D.$-\frac{3 \pi}{2}, \frac{\pi}{2}+2$

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