Find \(\int \underbrace{1 - \frac{1}{1 - \frac{1}{\ddots \frac{1}{1 - x}}}}_{2023(1-)\text{'s}} \mat

Question

Find $\int \underbrace{1 - \frac{1}{1 - \frac{1}{\ddots \frac{1}{1 - x}}}}_{2023(1-)\text{'s}} \mathrm{d}x.$

Accepted Answer

$x - \ln x + C$

2023 MIT Integration Bee: Regular Season Q4