Integral of $$$\frac{- \sin{\left(x \right)} + \cos{\left(x \right)}}{\sqrt{\sin{\left(2 x \right)}}}$$$
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Find $$$\int \frac{- \sin{\left(x \right)} + \cos{\left(x \right)}}{\sqrt{\sin{\left(2 x \right)}}}\, dx$$$.
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