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Riff on an integration bee integral

Summary by johndcook.com
I saw an integral posted online that came from this year’s MIT Integration Bee. My thoughts on seeing this were, in order: It looks like a beta function. The answer is a small number. You can evaluate the integral using the substitution u = 1 − x2025. I imagine most students’ reactions would be roughly the opposite. They’d first see the substitution. Some might think of the value being small, and none would think of beta functions. Size estimat…
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johndcook.com broke the news in on Friday, May 16, 2025.
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