Integral of $$$\frac{\cos{\left(4 x \right)} \cos{\left(5 x \right)}}{1 - 2 \cos{\left(3 x \right)}}$$$
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Find $$$\int \frac{\cos{\left(4 x \right)} \cos{\left(5 x \right)}}{1 - 2 \cos{\left(3 x \right)}}\, dx$$$.
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