\(\rm \displaystyle\int \frac{\sin x - \cos x}{\sqrt{\sin 2x}} dx\) is equal to

1
\(\rm \log |(\sin x + \cos x) + \sqrt{\sin 2x|}+ C\)
2
\(-\rm \log |(\sin x + \cos x) + \sqrt{\sin 2x| }+ C\)
3
\(\rm \log |(\sin x - \cos x) + \sqrt{\sin 2x| }+ C\)
4
\(- \rm \log |(\sin x - \cos x) + \sqrt{\sin 2x| }+ C\)

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