\(\displaystyle​\int \frac{\sin x+\cos x}{\sqrt{\sin 2x}}\) dx equals :

1
cosec−1(sin x + cos x) + C
2
cosec−1(sin x − cos x) + C
3
sin−1(sin x − cos x) + C
4
sin−1(\(\sqrt{\sin x−\cos x}\)) + C

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