Integral of $$$\frac{\ln^{3}\left(1 - x^{2}\right)}{x + 1}$$$

The calculator will find the integral/antiderivative of $$$\frac{\ln^{3}\left(1 - x^{2}\right)}{x + 1}$$$, with steps shown.

Find $$$\int \frac{\ln^{3}\left(1 - x^{2}\right)}{x + 1}\, dx$$$.