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