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Answer
$$ \displaystyle\int \dfrac{x}{\tan\left(2-3{x}^{2}\right)}\, \mathrm d x = -{{\ln \left(\sin ^2\left(3\,x^2\right)+2\,\sin 2\,\sin \left(3\,x ^2\right)+\cos ^2\left(3\,x^2\right)+2\,\cos 2\,\cos \left(3\,x^2 \right)+\sin ^22+\cos ^22\right)+\ln \left(\sin ^2\left(3\,x^2 \right)-2\,\sin 2\,\sin \left(3\,x^2\right)+\cos ^2\left(3\,x^2 \right)-2\,\cos 2\,\cos \left(3\,x^2\right)+\sin ^22+\cos ^22\right) }\over{12}} $$
Explanation
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