The value of the definite integral \( \mathrm{P}^{18} \) \( \int_{0...

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The value of the definite integral
\( \mathrm{P}^{18} \) \( \int_{0}^{\pi / 2} \sin |2 x-\alpha| d x \), where \( \alpha \in[0, \pi] \), is

W
(1) 1
(2) \( \cos \alpha \)
(3) \( \frac{1+\cos \alpha}{2} \)
(4) \( \frac{1-\cos \alpha}{2} \)
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