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

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Shalosh B. Ekhad | (add twitter) | |

Doron Zeilberger | (add twitter) | |

Wadim Zudilin | (add twitter) |

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shikiteibakin:
符号のミスを Greg Egan に指摘されて訂正したというこの論文(?)
https://t.co/jHznaREcLF
4. This version corrects a sign typo pointed out by Greg Egan. 5. Watch Greg Egan’s beautiful animation in https://t.co/KUVJoICVkF
アニメーションはリンク切れ. 残念．

j_a_salinas:
RT @gregeganSF: Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um…

AlexKontorovich:
Can you prove this integral identity, for a>b>0 and non-negative integer n?
If not, here's a cheat (from arxiv today): https://t.co/NhPk68G1sN https://t.co/EOY3ZrpXcV

StellarEngineer:
RT @gregeganSF: Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um…

BrennerCrick:
RT @gregeganSF: Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um…

sergiolagoons2:
RT @gregeganSF: Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um…

Tagxys:
RT @gregeganSF: Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um…

Derektionary:
RT @gregeganSF: Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um…

Don_Rubiel:
RT @gregeganSF: Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um…

urosn:
RT @gregeganSF: Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um…

all2one:
RT @gregeganSF: Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um…

AdhikaryRanendu:
RT @gregeganSF: Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um…

qiming82:
RT @gregeganSF: Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um…

chetangoa:
RT @gregeganSF: Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um…

Heptapod_C:
RT @gregeganSF: Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um…

DelanoTeddy:
RT @gregeganSF: Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um…

zamudiomichael:
RT @gregeganSF: Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um…

ElmalamenHola:
RT @gregeganSF: Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um…

EIATA_:
RT @gregeganSF: Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um…

TcpProtocol:
RT @gregeganSF: Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um…

putuadikusumay:
RT @sigfpe: Surprising integral equality
https://t.co/E9DhZsZJ8V https://t.co/4ptGvoLF0v

aaronmcdaid:
RT @sigfpe: Surprising integral equality
https://t.co/E9DhZsZJ8V https://t.co/4ptGvoLF0v

kstodessa:
RT @gregeganSF: Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um…

37_cooper:
RT @gregeganSF: Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um…

mhwannabe:
RT @sigfpe: Surprising integral equality
https://t.co/E9DhZsZJ8V https://t.co/4ptGvoLF0v

mhwannabe:
RT @gregeganSF: Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um…

Qasim31021446:
RT @sigfpe: Surprising integral equality
https://t.co/E9DhZsZJ8V https://t.co/4ptGvoLF0v

casapaojca:
RT @gregeganSF: Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um…

DailyPedantry:
RT @gregeganSF: Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um…

mnmmsa1:
RT @gregeganSF: Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um…

SVDMatrix:
RT @gregeganSF: Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um…

MassBassLol:
RT @gregeganSF: Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um…

IgorCarron:
RT @gregeganSF: Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um…

PLT_cheater:
RT @gregeganSF: Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um…

caatlyz2361:
RT @gregeganSF: Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um…

AjiteshShukla7:
RT @gregeganSF: Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um…

bitexe:
RT @gregeganSF: Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um…

David_Ginzburg:
RT @gregeganSF: Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um…

heghbalz:
RT @gregeganSF: Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um…

bofh453:
RT @gregeganSF: Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um…

Ramin26317354:
RT @gregeganSF: Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um…

octonion:
RT @gregeganSF: Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um…

_onionesque:
RT @gregeganSF: Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um…

gregeganSF:
Thanks to @sigfpe, a surprising equality between definite integrals, proved by Zeilberger et al:
https://t.co/ggsr1xQ3Um
The proof there is by induction for non-negative integers n, but the identity seems to hold for all n>0.
[The y-axis below is rescaled, not held fixed.] https://t.co/1bkHOfc3hG

imleslahdin:
RT @sigfpe: Surprising integral equality
https://t.co/E9DhZsZJ8V https://t.co/4ptGvoLF0v

AjiteshShukla7:
RT @sigfpe: Surprising integral equality
https://t.co/E9DhZsZJ8V https://t.co/4ptGvoLF0v

wh0rfin:
RT @sigfpe: Surprising integral equality
https://t.co/E9DhZsZJ8V https://t.co/4ptGvoLF0v

octonion:
RT @sigfpe: Surprising integral equality
https://t.co/E9DhZsZJ8V https://t.co/4ptGvoLF0v

jonnazar:
RT @sigfpe: Surprising integral equality
https://t.co/E9DhZsZJ8V https://t.co/4ptGvoLF0v

vigil_bradley:
RT @sigfpe: Surprising integral equality
https://t.co/E9DhZsZJ8V https://t.co/4ptGvoLF0v

ValFadeev:
RT @sigfpe: Surprising integral equality
https://t.co/E9DhZsZJ8V https://t.co/4ptGvoLF0v

ulysses4ever:
RT @sigfpe: Surprising integral equality
https://t.co/E9DhZsZJ8V https://t.co/4ptGvoLF0v

jsvnm:
RT @sigfpe: Surprising integral equality
https://t.co/E9DhZsZJ8V https://t.co/4ptGvoLF0v

DucksForDuckGod:
RT @sigfpe: Surprising integral equality
https://t.co/E9DhZsZJ8V https://t.co/4ptGvoLF0v

sigfpe:
Surprising integral equality
https://t.co/E9DhZsZJ8V https://t.co/4ptGvoLF0v