Two Definite Integrals That Are Definitely (and Surprisingly!) Equal

Abstract

We find this identity, that looks like an exercise in Calculus 1, surprising, and beautiful. We hope that you would too.

1+epsilon pages. This version corrects a typo pointed out by Greg Egan, gives links to a beautiful animation that he did, announces a direct change of variable proof discovered by Mikael Sundquist, and gives references to two additional proofs by Alin Bostan

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