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How Mathematicians Skip Hard Integrals and Use Squeeze Theorem (limit of arc length on y=x^n) Analytics Table
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Answering a classic calculus question from my Patreon member, Troy. We will find the limit of the arc length of the curve y = x^n from x = 0 to x = 1 as n approaches infinity. Get my Equation of the Month 11/7/26 on Patreon: https://www.patreon.com/blackpenredpen/posts/equation-of-11-7-174638446 Arc length formula; https://www.youtube.com/watch?v=PK7HZiFG_VI&t=24s ----- *This channel is dedicated to creating helpful calculus tutorials for high school and college students around the world. Thank you to these Patreon members for building this with me* 3Blue1Brown • Ahmad syafi • Allison Lamery • Angel Avila • Anthony Hunting • Anyway • Ben Delo • bontle sjm • Cameron Quinn • charlie lewinski • Corey Rufener • David I Miller • Doc Ockey • exchsac • Glenn X • Gramps • Hayden S • huguens nevelus • Jake Albert • jappiesaus • Jessica • Joel Wong • Johan Renko • Karl Tang-Wang • Manil Trivedi • Mark Pagura • MarkM • Mas • Matt • Matthias Beeler • Michael ZHOU • Michelle Liang • Mizel Cluett • Nerd • Nicolai Lilly • Paul Lyon • Ricardo Murillo • Rohan • SaltyFishbutwithDream • Sebastian Correa • Sharnay Ampos • Steven McEwan • Subotai Baghatur • Terry Chang • Thế Quân Lê • Tomaz Mevlja • Torbjörn Karlsson • Zero • Zhansu • 博鈞 林 (Updated: 11/1/2026 https://www.patreon.com/blackpenredpen) -----
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