Integral of $$$\frac{b^{2} x \sin^{2}{\left(x \right)} \cos^{2}{\left(x \right)}}{a^{2}}$$$ with respect to $$$x$$$
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Find $$$\int \frac{b^{2} x \sin^{2}{\left(x \right)} \cos^{2}{\left(x \right)}}{a^{2}}\, dx$$$.
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