Integral of $$$\frac{\left(5 - 4 \cos^{2}{\left(x \right)}\right) \cos{\left(x \right)}}{4 \sin^{2}{\left(x \right)}}$$$
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Find $$$\int \frac{\left(5 - 4 \cos^{2}{\left(x \right)}\right) \cos{\left(x \right)}}{4 \sin^{2}{\left(x \right)}}\, dx$$$.
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