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

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

Find $$$\int \frac{t \ln\left(1 - t\right)}{t^{2} + 1}\, dt$$$.