Integral of $$$\frac{\ln\left(\cos{\left(x \right)} + 1\right) \sin{\left(x \right)} \tan{\left(x \right)}}{- y^{2} \sin^{2}{\left(x \right)} + 1}$$$ with respect to $$$x$$$
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Find $$$\int \frac{\ln\left(\cos{\left(x \right)} + 1\right) \sin{\left(x \right)} \tan{\left(x \right)}}{- y^{2} \sin^{2}{\left(x \right)} + 1}\, dx$$$.