2023 MIT Integration Bee: Regular Season Q4

2023 MIT Integration Bee: Regular Season Q4

IP 4

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

Solution:

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Answer:\(x-\ln|x|+C\), on intervals excluding \(0\) and \(1\).

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