Compute
\[\int_0^{\pi/2}\frac{\sin x}{\sin(x+\frac{\pi}{4}}\]

Compute
\[\int_0^{\pi/2}\frac{\sin x}{\sin(x+\frac{\pi}{4}}\]

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\[\int_0^{\pi/2}\frac{\sin x}{\sin(x+\frac{\pi}{4})}\,dx\]

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