两个确为（且惊人地！）相等的定积分
经典分析与常微分方程
2020-09-24 v2 数论
摘要
我们发现这一看似微积分一习题的恒等式令人惊讶且优美。我们希望您也会有同感。
引用
@article{arxiv.1911.01423,
title = {Two Definite Integrals That Are Definitely (and Surprisingly!) Equal},
author = {Shalosh B. Ekhad and Doron Zeilberger and Wadim Zudilin},
journal= {arXiv preprint arXiv:1911.01423},
year = {2020}
}
备注
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