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