\[ \int_{0}^{\pi / 2} \frac{\sin ^{3 / 2} x}{\left(\sin ^{3 / 2} x+...

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\[
\int_{0}^{\pi / 2} \frac{\sin ^{3 / 2} x}{\left(\sin ^{3 / 2} x+\cos ^{3 / 2} x\right)} d x=\frac{\pi}{4}
\]
(W)
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