Integral of $$$4 \cos{\left(2 x \right)} \cos{\left(\frac{\pi x}{6} \right)} \cos{\left(\frac{5 \pi x}{6} \right)}$$$
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Find $$$\int 4 \cos{\left(2 x \right)} \cos{\left(\frac{\pi x}{6} \right)} \cos{\left(\frac{5 \pi x}{6} \right)}\, dx$$$.
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