Integral of sin(sin(sin(...)))

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Integral of sin(sin(sin(...))),
integral of infinitely many sin( )
  1. blackpenredpen
  2. integral of sin(sin(sin(...(x))))
  3. blackpenredpen
  4. integral of sin(x)
  5. horseshoe math
  6. horseshoe integral
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Комментарии
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Congrats on your run :) .... even doing math while running... 💪

LS-Moto
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Mathematicians are so "hm I'm running, what if we integrate an infinite composition of sin functions?"

joaovictorsouzadeandrade
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This absolute unit running and doing math at the same time. What a lad.

josephymenchu
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When you forgot to record a video and you're in marathon

LePetitMondedeCapitainenini
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Since taking the sine of any number results in a number that is closer to 0 (unless it already is 0), an infinitely nested sine function will evaluate to 0 everywhere, resulting in an integral of 0.

KnakuanaRka
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Issac Newton: Do math in his room day and night
BPRP: Do math while running

hungryfareasternslav
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1:18 throwing up c's in LA isnt the best idea...

socrates
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Now, I will call this integral the running integral..
But, it was a awesome math for fun..
Love this always ❤❤❤

Math instructor+Athelete...what a

aurithrabarua
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It's such a inovation, dude! I never imagined make a video while running a marathon!

douglas_leimiceg
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This man is doing math while running a marathon, I can’t make any excuses anymore😭😭😭

mikemike
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I am definitely learning from this channel. I did pause the video and try the problem, and I did figure this out exactly. I figured it was going to have to do with the *infinitely* recursive input to sine. I first tried what I thought would be a "simpler" case, but I couldn't immediately figure out the integral of sin(sin(x)) dx (sorry if you already did a video on that; I haven't quite watched them all). So, I just tried to simplify the infinite recursion directly, and I came to the same conclusion: u=sin(u), which is only true when u=0. I threw that into my integrand, and I was like, "Well, the derivative of a constant is 0, so...", and I was right!


I only started watching this channel around a year ago, and before that, I definitely would never have figured out this integral, let alone figured it out so quickly! Thank you, BPRP, for showing off such cool analytical techniques, explaining them thoroughly and memorably, and reminding us that Infinity has special behaviors and we must be careful!

emmeeemm
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Thank you!!! You are an incredible math teacher and person. You always encourage me to keep studying math. The last year I finished the high school and now I moved to other city called Cordoba, in Argentina, in order to study mathematics and physics at the university of Cordoba. Thank you for all endeavour and dedication to the subject. Love yaaa!! An example of person and you deserve all you have :)))). Greetings, Lucas.

lucasdepetris
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YES! You did my suggestion from Instagram!!!! YAY

OtiumAbscondita
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8 Marathons?!!? I have a hard time running around the block!

StreuB
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Damn, you are really AWESOME! Congratulations on the marathon! You are an inspiration for me, thanks for your always great content

benjamingiribonimonteiro
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BEAST! You're husband material, professor. Such a down to earth, intelligent and entertaining content producer and mathematician. Congrats on finishing the marathon and all the new subs!

paulomirabile
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Well done on yet another great marathon and video!

davidgould
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You're so funny and you project that onto maths and make everyone so happy while doing it ohmygod it's so good!!! You're the best

nickm
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You're the best! Congratulations!

soultheft
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Congrats Professor!! I remember when you announced that you were going to train for this marathon in January. It was great being in your class for calculus, you were (are) the best. 👍

rufinoperea