\( \int_{\pi / 2}^{3 \pi / 2}[2 \sin x] d x \) is equal to \( ([x] \) denotes the greatest integ...

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\( \int_{\pi / 2}^{3 \pi / 2}[2 \sin x] d x \) is equal to \( ([x] \) denotes the greatest integer function)
(a) \( -\pi \)
(b) 0
(c) \( -\pi / 2 \)
(d) \( \pi / 2 \)
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