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Answer
$$ \displaystyle\int \dfrac{-12{x}^{3}}{\ln\left(1-x\right)}\, \mathrm d x = -12\,\left(\Gamma\left(0 , -\ln \left(1-x\right)\right)-3\,\Gamma \left(0 , -2\,\ln \left(1-x\right)\right)+3\,\Gamma\left(0 , -3\, \ln \left(1-x\right)\right)-\Gamma\left(0 , -4\,\ln \left(1-x \right)\right)\right) $$
Explanation
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