The value of \( \frac{(\sqrt{2}+1)}{\pi} \int_{\pi / 4}^{3 \pi / 4} \frac{\phi}{1+\sin \phi} d \...

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The value of \( \frac{(\sqrt{2}+1)}{\pi} \int_{\pi / 4}^{3 \pi / 4} \frac{\phi}{1+\sin \phi} d \phi \) is
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