Integrating Infinitely Nested Square Roots

preview_player
Показать описание
00:00 Intro
00:19 Rewriting the Problem
00:45 Index Laws
01:30 Geometric Progression
02:16 The Simplified Problem
02:30 Final Answer
02:42 Outro

If you would like to see more content like this or you have any recommendations please leave a comment down below with what you'd like to see! Thanks for watching!

Note
If any mistakes are made please let me know in the comments down below, I'm only human and will endeavour to be correct as much as I can!
Рекомендации по теме
Комментарии
Автор

Easier and quickier: y=sqrt(x*sqrt(x*...)), then y^2=x*sqrt(x*...), then y^2/x=sqrt(x*...), then y^2/x=y, then y^2/y=x, then y=x, so the integral is x^2/2 + C.

CipriValdezate
Автор

blackpenredpen just posted a similar integral a few days ago. His integral also needs a special identity in the process.

BirilliantSkyStar