2023 MIT Integration Bee: Regular Season Q2
2023 MIT Integration Bee: Regular Season Q2
IP 4
Evaluate \(\displaystyle\int_{0}^{1} \frac{\frac{x +1}{x + 2}} {\frac{x + 3}{x + 4}} \mathrm{d}x\).
Solution:
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Answer:\(1-\ln\frac{81}{64}\).
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