The value of the integral \( \int_{0}^{1} \log \sin \left(\frac{\pi x}{2}\right) d x \), is (A) ...

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The value of the integral \( \int_{0}^{1} \log \sin \left(\frac{\pi x}{2}\right) d x \), is
(A) \( \log 2 \)
(B) \( -\log 2 \)
(C) \( \frac{\pi}{2} \log 2 \)
(D) \( -\frac{\pi}{2} \log 2 \)
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