MIT 2006 Integration Bee

  Рет қаралды 3,883,241

Keith Winstein

Keith Winstein

8 жыл бұрын

Пікірлер: 3 600
@OfficialSilverMoon
@OfficialSilverMoon 4 жыл бұрын
You're not deaf, audio starts at 00:32
@NOLlFE1
@NOLlFE1 4 жыл бұрын
LOL i thought so
@geetaagarwal4622
@geetaagarwal4622 4 жыл бұрын
Thanks
@user-pc3jv6zb6j
@user-pc3jv6zb6j 4 жыл бұрын
no! ima bout to smash my headphone Thanks
@moaazelsayed
@moaazelsayed 4 жыл бұрын
I scrolled down looking for that comment lol :")
@hollywoodhits7439
@hollywoodhits7439 4 жыл бұрын
Hahahaha thank u....
@StudiosAdVanced
@StudiosAdVanced 5 жыл бұрын
other colleges: at parties MIT:
@guthries
@guthries 5 жыл бұрын
I went to Michigan Tech and we did this at our parties.
@MonteLogic
@MonteLogic 5 жыл бұрын
😂😂
@marshmelows
@marshmelows 4 жыл бұрын
wooooooo
@Aserve1st
@Aserve1st 4 жыл бұрын
theyre partying in their brain.
@uristmcary
@uristmcary 4 жыл бұрын
im down, beats sitting around wondering when you can go home without making your friends feel sad and lonely.
@thenextkawhileonard2585
@thenextkawhileonard2585 3 жыл бұрын
Her: he's probably out cheating on me Me and the boys:
@rohanramani6243
@rohanramani6243 3 жыл бұрын
Lmfaoooo
@tanaykumar9636
@tanaykumar9636 3 жыл бұрын
This seems reasonable 😉
@Usuario459
@Usuario459 2 жыл бұрын
Lmaoooooooooo
@unknowno_o8220
@unknowno_o8220 2 жыл бұрын
They really made some of the most traumatic experiences of my university career into a sport. They really built different.
@Jannfndnanakid
@Jannfndnanakid 6 ай бұрын
idiot traumatised by maths
@ignaciodemiguel3683
@ignaciodemiguel3683 4 жыл бұрын
"Hey, Keith, don't forget to upload the Integration Tournament to KZbin." "Yeah sure, I won't forget." *10 years later*
@MiNa-sd8ms
@MiNa-sd8ms 3 жыл бұрын
🤣🤣🤣🤣
@harshvardhansingh9057
@harshvardhansingh9057 3 жыл бұрын
🤣
@Reivivus
@Reivivus 3 жыл бұрын
He didn’t forget
@sauercrowder
@sauercrowder 3 жыл бұрын
But was he reminded?
@titanwilkins4044
@titanwilkins4044 3 жыл бұрын
Hahaha!
@KurdTillDeath
@KurdTillDeath 5 жыл бұрын
ha... what a bunch of nerds... wish i could do that
@prabalbaishya6179
@prabalbaishya6179 4 жыл бұрын
If you really wanna learn about calculus, then there are plenty of good calculus videos in KZbin. Believe me what they are doing, you can too! you just need to learn about them and then keep on practising :)
@crismal6477
@crismal6477 4 жыл бұрын
Prabal Baishya that is very true
@crismal6477
@crismal6477 4 жыл бұрын
Prabal Baishya I’ve learned that way, lol And also through websites
@avegaughtastiffy1654
@avegaughtastiffy1654 4 жыл бұрын
It’s really about applying the rules
@valt1337
@valt1337 4 жыл бұрын
but can they fight or invite a girl out?
@chrisw3869
@chrisw3869 3 жыл бұрын
This is the most intently I've ever watched something where I can't even begin to comprehend what's happening.
@mattjohnson1953
@mattjohnson1953 2 жыл бұрын
Hahah, it's truly phenomenal.
@babblingbeanbags8301
@babblingbeanbags8301 2 жыл бұрын
Same
@MeeZyStudioZ
@MeeZyStudioZ 2 жыл бұрын
I woke up to this video playing and got so into it, i couldn't go back to sleep...🙆‍♂️
@ComposingGloves
@ComposingGloves 3 жыл бұрын
I was in an ODE class, where the entire thing was kinda like this but without intentional competition. At any point (even in the middle of lecture) you could go up to the board and present an idea, if your insight was good you got extra credit. It wound up being one of my favorite classes. Every day was exciting and I devoured the material. I still use it and remember most of it because of that method. The teacher was a legend.
@ninjahunterx7497
@ninjahunterx7497 2 жыл бұрын
That's amazing.
@RubyByte
@RubyByte Жыл бұрын
What the fuck are you talking about
@epicm999
@epicm999 Жыл бұрын
If I ever teach a class, I'm gonna steal that.
@n00bspanker
@n00bspanker 4 жыл бұрын
"I'm sure most of our viewers would be familiar with [insert mathematical concept here]" Me: "Yes. Absolutely. Entirely."
@ItumelengS
@ItumelengS 3 жыл бұрын
For sure, no doubt, easy peasy...
@gabrielxavier4408
@gabrielxavier4408 3 жыл бұрын
😂😂😂😂
@saff1257
@saff1257 3 жыл бұрын
i got it.....😳
@farazalam3325
@farazalam3325 3 жыл бұрын
Yeah sure, except those cosh and sinh.
@epicswirl
@epicswirl 3 жыл бұрын
I’m surprised they didn’t know the first one
@NeverLooksAtComments
@NeverLooksAtComments 5 жыл бұрын
ok that commentator is insanely talented... he had to know what he was talking about, and he had to keep talking, and he was able to make it extremely entertaining/informative and easy to follow.
@edwardguterres8964
@edwardguterres8964 5 жыл бұрын
NeverLooksAtComments he’s my dentist lol
@user-qi6ig6gb8x
@user-qi6ig6gb8x 5 жыл бұрын
@Phytom try an integral before you die, or you'll regret :haha
@nuklearboysymbiote
@nuklearboysymbiote 5 жыл бұрын
well yeah they said they wrote some of those integrals so obviously they knew what they were talking about
@gwub7117
@gwub7117 4 жыл бұрын
as a math nerd, differentiation was nice but integration was the cherry on the top
@vinnerzucc1154
@vinnerzucc1154 4 жыл бұрын
Edward Guterres what’s his name
@NoGoodHandlesComingToMind
@NoGoodHandlesComingToMind 3 жыл бұрын
1:54:40, "facing the guy *who took 6 rounds to get an integral*." Me having no idea what's going on: "Yes, an amateur, how pathetic..."
@frankenstein3397
@frankenstein3397 2 жыл бұрын
Sarcastic
@tonywoo4861
@tonywoo4861 3 жыл бұрын
I love how the commentators make legit comments about integration. Absolutely amazing.
@orangeboy97
@orangeboy97 5 жыл бұрын
17:24 "small mistakes crash rockets into planets" I'm going to say that the next time my physics professor makes a mistake.
@ozancanca9740
@ozancanca9740 5 жыл бұрын
Tall Random Guy me too lol
@joelbachul924
@joelbachul924 5 жыл бұрын
I was about to comment this LOL 😂 that was hilarious
@eggshells652
@eggshells652 4 жыл бұрын
Tall Random Guy small mistakes cost lives and millions of dollars
@jeanmichel4269
@jeanmichel4269 4 жыл бұрын
hopefully everything is now calculated with a computer
@user-bp8yd7uy6h
@user-bp8yd7uy6h 4 жыл бұрын
And so he'll say when you fail your test 🤣🤣
@alexandervu8693
@alexandervu8693 5 жыл бұрын
Was I looking for a 3hr video on integration? No Did I watch it? Hell yeah
@alexandervu8693
@alexandervu8693 5 жыл бұрын
Throngdorr Mighty yep, im a future math/physics major so it was enjoyable watching others attempting challenging integrals as well as alternative ideas to approach a problem
@dibyashubhroroy945
@dibyashubhroroy945 4 жыл бұрын
@Throngdorr Mighty ya so is integration
@learninggreek501
@learninggreek501 4 жыл бұрын
hell yeah thats the spirit!
@tauceti8341
@tauceti8341 3 жыл бұрын
@@alexandervu8693 the first hours was bad no one could solve their integrals, poor lads.
@bigbuilder10
@bigbuilder10 3 жыл бұрын
@Throngdorr Mighty ???
@voguelactose9468
@voguelactose9468 2 жыл бұрын
Even as someone who never went past differential calculus in school, this is one of the coolest things I’ve seen in a long time. The concept of an integration tournament, complete with a commentator and a very enthusiastic and excited audience is just so awesome .
@starlordstarlordman8489
@starlordstarlordman8489 3 жыл бұрын
I would love to know where the commentators are today. I am loving this, 15 years later. Better commentating than most sports events. Great video all around, thanks to all involved.
@bhartiranjana3087
@bhartiranjana3087 4 жыл бұрын
Did i really just watched 3 hours long integral bee instead of solving my homework on differention first
@1.8millionvolts87
@1.8millionvolts87 3 жыл бұрын
Nah don't worry differential are very doable,
@cassied9327
@cassied9327 3 жыл бұрын
james barns I feel this. Watching this when I’m supposed to be working on series 😂
@rosalestomlesther1772
@rosalestomlesther1772 3 жыл бұрын
hahahah lol
@Arizona9001
@Arizona9001 3 жыл бұрын
no, you didnt
@davidraveh5966
@davidraveh5966 3 жыл бұрын
I have my Calc 2 final tomorrow
@Gametheory101
@Gametheory101 8 жыл бұрын
The integration is pretty fantastic, but what amazing video quality for an amateur 2006 production!
@KeithWinstein
@KeithWinstein 8 жыл бұрын
+William Spaniel Thanks! This was done by the MIT Sportcast HD project, which we understand to have been the first amateur HD broadcasting anywhere. The video came in over Ethernet (translated from Firewire) from four HDV cameras, and was edited and encoded live to meet the ATSC requirements using software we developed on Linux and OpenGL, then broadcast on MIT's internal cable-TV system in 2005-2006. (sportcast.mit.edu)
@99bits46
@99bits46 5 жыл бұрын
@@KeithWinstein truly amazing..
@pablodeagustin5404
@pablodeagustin5404 5 жыл бұрын
its MIT, what do you expect ?
@itzyoung
@itzyoung 5 жыл бұрын
@@KeithWinstein 1:20:33 , pretty amazing for the time!
@vikvc
@vikvc 4 жыл бұрын
@@KeithWinstein While many teachers around the globe still struggle to plug a computer to a projector.
@nathan87
@nathan87 3 жыл бұрын
3:00:09 "Hearing your opponent's chalk clicking against the board it's gotta play into your mind a little bit there" "Yogash has simply written the problem..." relatable
@bonbon_1729
@bonbon_1729 3 жыл бұрын
This one video has helped me be more eager to learn maths. I know it’s old, but I thank everybody involved.
@danilocorreia5104
@danilocorreia5104 5 жыл бұрын
Now I know why I wasn't accepted at MIT
@Junzipark8881
@Junzipark8881 4 жыл бұрын
Danilo Correia yes judging by your sentence we can all tell why you were rejected from mit
@jeeaspirant6288
@jeeaspirant6288 4 жыл бұрын
@@Junzipark8881 shut up kid
@silvergg8152
@silvergg8152 4 жыл бұрын
@@Junzipark8881 Cause he misused the preposition "on"? Kind of ironic considering in your sentence "by" would be more appropriate than "from".
@Junzipark8881
@Junzipark8881 4 жыл бұрын
I Like Pie how is it ironic? He completely butchered the sentence lol I dont like pointing out grammatical errors online because obviously no one cares enough when they post comments; however, if someone is going to make a comment on why he was not accepted into a prestigious school and completely butcher the sentence, I am going to point it out. I mean it was kind of a joke in the first place, he probably didnt even apply to mit lol
@Junzipark8881
@Junzipark8881 4 жыл бұрын
harsh tripathi alright man it was a joke in the first place because he probably did not apply to mit in the first place
@AAA11546
@AAA11546 5 жыл бұрын
The commentators are fucking great. The way they explain what the guys are doing, what method, what it means. wow. this is actually interesting
@amyfalconer1660
@amyfalconer1660 5 жыл бұрын
Aren't they amazing?
@AAA11546
@AAA11546 5 жыл бұрын
@@amyfalconer1660 truly amazing!!!
@vinnerzucc1154
@vinnerzucc1154 4 жыл бұрын
What are their names?
@mandymcfadden584
@mandymcfadden584 2 жыл бұрын
How wonderful the world would be if everyone spent their time in such pursuits. Beautiful, happy, intelligent, wholesome people.
@hywei5171
@hywei5171 3 жыл бұрын
MIT students: do integral the old fashion way Me: google "integral calculator"
@234AaronSuper
@234AaronSuper 3 жыл бұрын
no cap haha
@JasonJia11
@JasonJia11 3 жыл бұрын
some of the extreme integrals couldn't even be solved by Symbolab or Mathway
@nathandrake711
@nathandrake711 3 жыл бұрын
Sometimes an integral will have multiple answers all correct
@navjotsingh2251
@navjotsingh2251 3 жыл бұрын
@@JasonJia11 almost all numerical integrals and derivatives can be computed using online calculators. But, there are certain symbolic math problems which computers cannot do (though, there is research in the field of using machine learning to help computers do symbolic math the same why humans do but idk how well that’s going as I don’t kept up with the field)
@TrinadhV
@TrinadhV 4 жыл бұрын
New roommate: So, what sports do you like to watch on TV? Me: .. it's complicated.
@jkershenbaum
@jkershenbaum 3 жыл бұрын
Do the students down the hall in the MIT laser lab have a disintegration bee?
@kushalsb460
@kushalsb460 3 жыл бұрын
differentiation is too easy to have a competition, I guess.
@gautam2034
@gautam2034 3 жыл бұрын
Kushal Bastakoti chutiye
@rubricscube_
@rubricscube_ 3 жыл бұрын
I chortled
@frogstereighteeng5499
@frogstereighteeng5499 3 жыл бұрын
No diffeqs? There would be some fun ones there lol.
@MoonlightMirage
@MoonlightMirage 3 жыл бұрын
@YouBuet Trust me, a woooosh ain't needed around here :p Differentiation is definitely easier than solving integrals
@lariosphotography4721
@lariosphotography4721 3 жыл бұрын
I really appreciate this bit from the commentators "...not the pressure of some sort of timer winding down. That's not math. That's sports, isn't it?" "that's Apollo 13, maybe." I think both commentators have a good point here. On the one hand, yes, some mathematicians/physicists should be able to work well and efficient under pressure. However, some mathematicians can be assigned to certain problems that are not so immediate.
@billydoan6153
@billydoan6153 3 жыл бұрын
As a Mathematic Grad student, I am very jealous of those guys' talent, good job. Wish I could be as smart as them. Watching this whole thing while doing my research really boost me up. Thank you, cheer! =)
@akshatsharma8151
@akshatsharma8151 Жыл бұрын
Indian high school students writing the entrance for the IITs are way more intelligent than them.
@user-uh9bo2im1h
@user-uh9bo2im1h 9 ай бұрын
Dude you’re math grad students you’ve solved integrals so much harder than this one and honestly math 505 has some good integrals to look into
@DeadPool-nx3gy
@DeadPool-nx3gy 8 ай бұрын
Some of these were soo easy 👍
@tobiasmelgard2070
@tobiasmelgard2070 4 ай бұрын
⁠@@DeadPool-nx3gyGood for you my guy
@Meta-Drew
@Meta-Drew 3 жыл бұрын
"They haven't been able to get the first 5 problems" *Me on my 5 question Calc test*
@davemonkey26
@davemonkey26 4 жыл бұрын
"Not a bad crowd here tonight, gotta be at least 60-70" *Laughs in 619,000 views in 2019*
@bovino9245
@bovino9245 3 жыл бұрын
1,000,000 mark 2020
@sauercrowder
@sauercrowder 3 жыл бұрын
I read that as 60-70 inches
@casualbeluga2724
@casualbeluga2724 3 жыл бұрын
@@bovino9245 1.3 million views on October 22nd
@dnavaneet
@dnavaneet 3 жыл бұрын
1,487,501 views Dec 5, 2020
@zhasulanaset6514
@zhasulanaset6514 3 жыл бұрын
1500000 views 2021 6th january
@vihashah5975
@vihashah5975 3 жыл бұрын
commentator: "someone's gonna get this", Li Yu and Ross: we can do this all day...
@NASAFanboy
@NASAFanboy 2 жыл бұрын
As an engineering student, thank you for reassuring myself that I’m going into the right area of study. I just watched the entire thing and enjoyed every second of it, great video and concept!
@brianchang408
@brianchang408 6 жыл бұрын
imagine if there was a professional league for this.....
@xDosReis
@xDosReis 6 жыл бұрын
there are people who could integrate these in their head in two seconds
@jaronfeld123
@jaronfeld123 5 жыл бұрын
Not really. This is hard stuff. There aren't people who are trained to do these complicated integrals professionally. MIT kinda has the best undergrad integration experts.
@jmika5984
@jmika5984 5 жыл бұрын
51:02
@cappuccinopapi3038
@cappuccinopapi3038 5 жыл бұрын
The world world would be a better place
@chizurin6357
@chizurin6357 5 жыл бұрын
@@jmika5984 That integration was really simple and easy
@tedubadu2536
@tedubadu2536 5 жыл бұрын
When the Athletics Dept is involved with the integration bee, you know it's a tech school.
@abhinavcheedella4296
@abhinavcheedella4296 2 жыл бұрын
It’s crazy that when I first saw this, this was some crazy math shit but now i actually understand it all
@ezuki6774
@ezuki6774 3 жыл бұрын
"this is Sport Cast at MIT." 5:18 im wheezing
@FruchteisMitErdbeer
@FruchteisMitErdbeer 4 жыл бұрын
This is absurdly well produced. Good camera quality for the time, great commentary, good shots and camera work in general. Good audio , even being able to hear the audience and contestants well. Legit, professional sports broadcasts can take note from this.
@nuklearboysymbiote
@nuklearboysymbiote 4 жыл бұрын
This is the only good MIT integration bee video I can find. Any other years' videos as high quality as this?
@SqueeblesMcklooflin
@SqueeblesMcklooflin 2 жыл бұрын
I would rather watch these than sports any day
@barte6128
@barte6128 2 жыл бұрын
Can’t believe this was made in 2006, Windows XP era
@wristocrat
@wristocrat 2 жыл бұрын
Yeah these guys should really consider going into a field with technology in it considering how good this video is
@TacosYBurritos8P
@TacosYBurritos8P 2 жыл бұрын
2006 was not the 1960s either
@prateek16
@prateek16 3 жыл бұрын
The dude with no shirt on showed up at the wrong party
@guymanperson1
@guymanperson1 2 жыл бұрын
No he was great
@leomurry8195
@leomurry8195 2 жыл бұрын
I just got an A in calc 2 at a public university and thought I would follow along with this competition to see how I compared. After getting exactly 0 correct and having to google what cosh was, I am incredibly humbled.
@EPlTHANY
@EPlTHANY 2 жыл бұрын
How do u get an A in calc 2 and not know what cosh is lol
@leomurry8195
@leomurry8195 2 жыл бұрын
@@EPlTHANY My calc 2 literally never covered it. Also I knew it was a thing, but I didn’t know exactly what it was until I looked it up
@mathisnotforthefaintofheart
@mathisnotforthefaintofheart 3 жыл бұрын
As a mathematician myself, I enjoyed this video and frankly speaking, I learned some stuff from it as well...
@AlwaysBeWater
@AlwaysBeWater 5 жыл бұрын
Somewhere in that crowd, someone is solving all these in his/her head.
@kataeiautsav918
@kataeiautsav918 4 жыл бұрын
but that someone wasnt able to clear the test to be selected for this event
@Victor-ji1rz
@Victor-ji1rz 4 жыл бұрын
Utsav kataria or didn t try
@bensblues
@bensblues 4 жыл бұрын
no there isn't. Integration isnt like that.
@tahademirkan8567
@tahademirkan8567 4 жыл бұрын
His name is Will Hunting
@bensblues
@bensblues 4 жыл бұрын
@@nukemars9445 I find it highly unlikely Nikola Tesla is sitting in that crowd considering he died over 70 years ago...
@ziggystardust6566
@ziggystardust6566 5 жыл бұрын
3:48 dudes got binoculars lmao
@Lollypop101xox
@Lollypop101xox 4 жыл бұрын
Hes cute
@beamerz9398
@beamerz9398 4 жыл бұрын
hes not missing anything 🤣
@dc2836
@dc2836 4 жыл бұрын
@@beamerz9398 😂
@Gamezilla00
@Gamezilla00 3 жыл бұрын
The commentary really made this thing what it is. Surprisingly I watched through it all and quite enjoyed it lol
@johndanielvillanueva8604
@johndanielvillanueva8604 3 жыл бұрын
I can't believe I watch all three hours of this without getting bored. HAHAHA
@BlijVrouw
@BlijVrouw 4 жыл бұрын
They're definitely trolling us by calling these "trivial" or "easy" integrals.
@r1ultramax
@r1ultramax 3 жыл бұрын
No they are actually easy.
@ezu8501
@ezu8501 3 жыл бұрын
they are easy...
@timewalker6654
@timewalker6654 3 жыл бұрын
Trivial means classic
@KayOScode
@KayOScode 3 жыл бұрын
They arent too hard, but they require tricks
@bait5257
@bait5257 3 жыл бұрын
Um yes they are actually
@pharmacist66
@pharmacist66 4 жыл бұрын
bro go to sleep man you've been on youtube too long
@shorifulhaque5137
@shorifulhaque5137 3 жыл бұрын
aite fam you're right gn
@Rulemaker0701
@Rulemaker0701 3 жыл бұрын
Nah it’s only 1am
@medic3202
@medic3202 3 жыл бұрын
Fam you are right
@owen19387
@owen19387 3 жыл бұрын
its 102 Am rn lmao
@afonsocastelao279
@afonsocastelao279 3 жыл бұрын
2:49 here, you’re right, good night!
@sabri17sommer
@sabri17sommer 3 жыл бұрын
2:24:06 damn that circling battle was intense
@gabedarrett1301
@gabedarrett1301 3 жыл бұрын
This is so much more exciting than sports! The suspense!
@bait5257
@bait5257 3 жыл бұрын
F
@Triple_Trouble739
@Triple_Trouble739 2 жыл бұрын
I'm a bit confused on whether David's answer was accepted. It was equivalent to the correct answer, but did they mark it wrong as he didn't substitute back?
@forgetfulfunctor1
@forgetfulfunctor1 2 жыл бұрын
Rumor has it that every time someone posts an integration bee video, 1000 IIT JEE applicants leave their studying lair to go comment how easy it is
@kristinyokohama1756
@kristinyokohama1756 2 жыл бұрын
bruh
@ahnafsamin4507
@ahnafsamin4507 5 жыл бұрын
1:18:47 the guy on the right is my situation
@vamsigollapalli1333
@vamsigollapalli1333 5 жыл бұрын
Lmao
@karthik-ex4dm
@karthik-ex4dm 5 жыл бұрын
So true!!!😂😂
@drrann4189
@drrann4189 5 жыл бұрын
Ee
@naufal6174
@naufal6174 5 жыл бұрын
1:19:12 LMAO
@yunjaejung9720
@yunjaejung9720 4 жыл бұрын
Also me.
@jasminenissen7169
@jasminenissen7169 2 жыл бұрын
I'm not sure how I ended up here from watching motorcycle engine repair videos to this especially since I struggled a lot with calculus last year but this is insane to watch!
@Ifoundthelight1
@Ifoundthelight1 3 жыл бұрын
These are the people your math problem tells you not to worry about.
@rahilsanghavi9347
@rahilsanghavi9347 4 жыл бұрын
The thing I loved the most is that the commentators know what they are talking about...they seem to be MIT integration bee veterans
@Lk_boca
@Lk_boca 3 жыл бұрын
Definitely Intergral
@raahimhadi4905
@raahimhadi4905 2 жыл бұрын
@@Lk_boca lmao
@karanchotaliya1714
@karanchotaliya1714 5 жыл бұрын
3:00 AM Always leads me to weirdest place.
@in_usek324
@in_usek324 4 жыл бұрын
at 3 😂😂😂lmao
@isaact3794
@isaact3794 4 жыл бұрын
2:28 for me lol I'm close
@unreligeouspope7902
@unreligeouspope7902 3 жыл бұрын
I have a geopolitics paper due next week, this research is quite helpful!
@Maxmuetze
@Maxmuetze 2 жыл бұрын
2:07:10 is done by symmetry, as the commentator suggests (but it's still really hard, even just proving the given answer). Tried this again and again and finally got it like this: (All integrals from 0 to pi/2) say I := int log(sin x) dx. Then also I = int log(cos x) dx by symmetry. So 2I = int log (sin x cos x) dx = int log (sin(2x)/2) dx = int log sin(2x) dx - pi/2 log(2). Also, int log sin(2x) dx (again from 0 to pi/2) is actually equal to I, by symmetry of the integrand about x=pi/4 and scale factor 1/2. Subtract equations for 2I and I to get I = - pi/2 log(2)
@backlog2389
@backlog2389 3 жыл бұрын
This is honestly such a genius idea. Its an easy way to get your students extremely comfortable with integration for the higher level courses.
@christianblake2179
@christianblake2179 3 жыл бұрын
Very few hold the title of “Grand Integrator” at MIT and this legend is one of them
@deathzone4046
@deathzone4046 3 жыл бұрын
I won in 2013 lmao
@RandomPerson-iw3mw
@RandomPerson-iw3mw 3 жыл бұрын
@@deathzone4046 wow respect Are you Justin brereton
@deathzone4046
@deathzone4046 3 жыл бұрын
@@RandomPerson-iw3mw yep
@timewalker6654
@timewalker6654 3 жыл бұрын
@@deathzone4046 Well, you are a nerdddd
@Dennis-qz7md
@Dennis-qz7md 3 жыл бұрын
@@deathzone4046 what are you doing now out of interest
@SSJVNN
@SSJVNN 3 жыл бұрын
This was so good lol. It's strange/sad but I felt very good/warm vibes from this video+ the comments section. I wonder what David Xin is doing now
@nathanschmidt7662
@nathanschmidt7662 3 жыл бұрын
Must be so cool to arrive into the MIT community as a bright (maybe socially isolated) ~18 year old. Suddenly you're among others who can discuss mathematics and play around with algorithms together for fun.
@zenterno-zt1pl
@zenterno-zt1pl 3 жыл бұрын
2:51:20 Interesting battle going on I wonder who is going to wi.... Cameraman: nah fam look what these guys are up to
@jeeadvanced8625
@jeeadvanced8625 3 жыл бұрын
Underrated
@yaboimanehmoe7574
@yaboimanehmoe7574 3 жыл бұрын
Lmao
@DrPeppa-ux4jn
@DrPeppa-ux4jn 3 жыл бұрын
I'M DEADDDDDD
@LJohann
@LJohann 3 жыл бұрын
Wtff
@user-ec6kt2fg7m
@user-ec6kt2fg7m 3 жыл бұрын
Kiss it and miss it.
@YangWangPhD
@YangWangPhD 3 жыл бұрын
This needs to be on ESPN. Where's the 2007 season?
@iuvdisuhb-ld3ou
@iuvdisuhb-ld3ou 2 жыл бұрын
the commentators know that some of the integrals at the start were genuinely quite simple, but thats the thing about integration, under even a little but stress you make mistakes and there are so many levels to the integral that going back and finding it seems like such a huge task. personlly i think that among the first 5-6 integrals, they should've gotten atleast two of them correctly. and the left contestant wrote '0' as the answer to the definite integral and the commentators were like, thats not an odd function buddy and neither are the limits. great fun!
@gulvinbadie
@gulvinbadie 2 жыл бұрын
it’s literally 3 AM and i woke up to this what?
@dyhsehehb6232
@dyhsehehb6232 2 жыл бұрын
could u pls explain is there some culture of sleeping with watching yt content or something as there are lots and lots of comments like this??
@gulvinbadie
@gulvinbadie 2 жыл бұрын
@@dyhsehehb6232 hm? im kinda lost sorry but i’ll answer to what i understand i personally like sleeping while watching anything tbh, but i dont think it’d s culture or anything lol also most of the time i get sleepy but im too lazy to yk close youtube and put my device away so i just sleep by it some times also accidentally moral of the story is that people are jusy lazy, too sleepy or just like to sleep by it! it could be comforting tbh buttttt not the best to do so
@saurabhgi
@saurabhgi 3 жыл бұрын
The commentator is the real mvp/math wiz during the finals.
@school6268
@school6268 3 жыл бұрын
yeah, guess mit profs are like that...
@jaredtweed7826
@jaredtweed7826 3 жыл бұрын
The commentator is the camera guy in this video: kzbin.info/www/bejne/b6qafWuhdtqDrtU
@jerrymemberryoh4816
@jerrymemberryoh4816 3 жыл бұрын
@@athena546 was mmm
@Bigaznboo010
@Bigaznboo010 3 жыл бұрын
D I itI’ts YI eah that’s @@athena546 ir I’m okay good good job buddy hope hope you’re ok
@Bigaznboo010
@Bigaznboo010 3 жыл бұрын
Dfddffffffdfffffff
@davidvalle3068
@davidvalle3068 6 жыл бұрын
I felt bad that I couldnt solve these, but then flet better when they couldn't either
@jeevansamrudh5600
@jeevansamrudh5600 5 жыл бұрын
those were pretty easy , wonder were they mit graduates or not
@EDROCKSWOO
@EDROCKSWOO 5 жыл бұрын
@@jeevansamrudh5600 yeah sadly you cant do in front of an audience or in the given 3 minute frame, because you would get nervous, write nothing, and get humiliated Lol.
@mridulbhatt8917
@mridulbhatt8917 5 жыл бұрын
@@EDROCKSWOO they are nerds anxiety comes with high intelligence
@bee_irl
@bee_irl 4 жыл бұрын
@@mridulbhatt8917 Anxiety comes with high intelligence?
@nanni5230
@nanni5230 4 жыл бұрын
@@bee_irl It's not proven but a lot of "geniuses" tend to have anxiety in some sort of capacity.
@blacksapphire5612
@blacksapphire5612 3 жыл бұрын
im a sophomore in HS taking geometry, i love having my mind just melt watching these
@yuitora8749
@yuitora8749 2 жыл бұрын
2:37:04 this one is tricky and has a trap (which Vijay fell for). So the idea is to decompose it to "simple fraction", so you get 1/x(e^x+1) - 1/x(e^3x + 1) Then intuitively, you'd want to separate into 2 integrals (which Vijay did and he got 0 as answer), but you can't do that because you'd get 2 divergent integrals (because 1/x is not integrable at 0) In order to separate into 2 integrals, you first need to do integration by parts (integrate 1/x and differentiate the rest) so that you get ln(x) which is integrable at 0, and then you can split into 2 integrals. From there, you do a variable change t=3x to the integral with e^3x+1, and everything simplifies nicely.
@yuitora8749
@yuitora8749 2 жыл бұрын
another way of solving it, which might be overkill (feymann trick), is to replace 3 by t, then differentiate the integral with respect to t. Then by the dominated convergence theorem, you can just differentiate the integrand with respect to t (interchanging differentiation and intergral), then after some simplification you get int{ e^tx / (e^tx + 1)} which gives 1/2t which is the derivative of log(t)/2 This means the integral (when you replace 3 with t) is log(t)/2 + C, but C=0 when you plug t=1. So the integral is exactly log(t)/2. Set t=3 you get log(3)/2.
@mathmaniac3033
@mathmaniac3033 3 жыл бұрын
Timestamps for rounds (for my own benefit later lol): Introduction and Proceedings: 00:00:32 Round 1, Elimination: 00:06:43 Round 2, Elimination: 00:47:40 Round 3, Quarterfinals: 00:53:23 Round 4, Quarterfinals: 1:10:27 Round 5, Quarterfinals: 1:26:37 Round 6, Quarterfinals: 1:50:21 Round 7, Semifinals: 1:58:27 Round 8, Semifinals: 2:27:00 Round 9, Runner-up: 2:44:47 Round 10, Finals: 2:55:24 Awards: 3:10:40 What a great event to watch. Loved that final round!
@nl7837
@nl7837 3 жыл бұрын
Thanks so much!!
@mathmaniac3033
@mathmaniac3033 3 жыл бұрын
@@nl7837 no problem!
@connorshea9085
@connorshea9085 3 жыл бұрын
+
@bait5257
@bait5257 3 жыл бұрын
F
@iminaband3351
@iminaband3351 2 жыл бұрын
can we talk about how the rewards were VERY underwhelming
@Exachad
@Exachad 5 жыл бұрын
As an MIT freshman watching the bee live: Wow, these kids are so quick and smart! As an MIT senior watching the bee: Lol, these kids take way too long lmao! In all seriousness though, the MIT Integration Bee is a tradition that must be preserved. Go Beavers!
@studywithjosh5109
@studywithjosh5109 5 жыл бұрын
Any tips for getting in?
@Exachad
@Exachad 5 жыл бұрын
@@studywithjosh5109 Good SAT/ACT and SAT Subject test scores along with "decent grades" with a good choice of advanced subjects that match your degree. If you want to take Physics like me, take as many Advanced Math and Physics courses as you can. MIT is a very specialised school, so not taking too many humanities courses or "smart electives" (Electives that are academically oriented vs sports/P.E) like AP Seminar or shit like that, doesn't matter after a certain point. All the advisors at my school told the kids to take a diverse range of advanced courses. I didn't do that because my Freshman and Sophomore HS GPA wasn't good enough for MIT and so I said screw it, I'm going full Math, Science and English for my junior and senior year because French and Humanities were desyroying my GPA and that's how I made it. The trick is to take subjects you're good at and practice for the SAT. The SAT is incredibly simple in the concepts it tests. Nothing advanced, simple English and Grade 9 Math. Careless mistakes and bad time management are the enemies.
@revl6151
@revl6151 5 жыл бұрын
You're not in MIT with that stupid ass profile pic
@robbyburns5822
@robbyburns5822 5 жыл бұрын
@@revl6151 most people don't actively change the profile pic to that. A lot of those profile pictures are due from people hacking into youtube making people with that profile picture say "oh yeah yeah". obviously youtube debuggers were able to stop the waves of spam within a couple of days, but the profile pictures still remain because youtube isn't allowed to violate terms of user privacy (changing anyones profile picture)
@fbi8122
@fbi8122 5 жыл бұрын
Bob Jones what’s wrong with his profile pic
@hunterwolfe9059
@hunterwolfe9059 3 жыл бұрын
Somehow I watched about an hour of this without realizing it and I have no memory of it.
@flygonfiasco9751
@flygonfiasco9751 2 жыл бұрын
The pressure must have been crazy, some silly mistakes from the first two contestants, but under normal conditions you can tell they’d do some of these with no problem
@Steveiegaming
@Steveiegaming 6 жыл бұрын
gotta love the dude with the double integral face paint
@EliteRowmaster
@EliteRowmaster 4 жыл бұрын
59:53 is me talking to a cute girl at a party
@xxbondsxx
@xxbondsxx 4 жыл бұрын
So true
@adriansalustri5558
@adriansalustri5558 4 жыл бұрын
...sure...
@danielsevell5732
@danielsevell5732 3 жыл бұрын
So here's the rubber match
@fuckman297
@fuckman297 3 жыл бұрын
one a piece thus far
@marcknight-3prfl-c901
@marcknight-3prfl-c901 3 жыл бұрын
that's funny.....is that the girls facial response
@joelnord4699
@joelnord4699 3 жыл бұрын
There's something cathartic about watching MIT students make simple math errors
@themannyproject6653
@themannyproject6653 2 жыл бұрын
Why am I voluntarily watching something that had caused me so much pain
@dyhsehehb6232
@dyhsehehb6232 2 жыл бұрын
?
@themannyproject6653
@themannyproject6653 2 жыл бұрын
@@dyhsehehb6232 I fucking hate calculus but I found this video really interesting
@AAA11546
@AAA11546 5 жыл бұрын
44:57 *"Hard to see how that would be zero"* savage commentator
@ninetales1234
@ninetales1234 2 жыл бұрын
At this part, I was thinking that this might just be a shot in the dark, i.e. if the most common answer to math problems is zero, why not just try zero, if the best thing you're able to do at that point, is guess?
@deadlypyre
@deadlypyre 2 жыл бұрын
@@ninetales1234 but sine is always positive lol
@ninetales1234
@ninetales1234 2 жыл бұрын
@@deadlypyre act of desperation
@christianmcclaine9990
@christianmcclaine9990 3 жыл бұрын
I never thought I would hear the word "extreme" next to "integral"
@gabedarrett1301
@gabedarrett1301 3 жыл бұрын
Pretty much every integral is 'extreme' to me lmao. That's why I solve my integrals numerically
@champagnebaby4184
@champagnebaby4184 3 жыл бұрын
I really fell a sleep watching KZbin and woke up in the morning to this😂
@Cnightz
@Cnightz Жыл бұрын
The commentary kept me interested even though this is above my skill level. Happy I stumbled on this video. Learning is always exciting.
@sumnerevans
@sumnerevans 4 жыл бұрын
Normal person: "So, have you ever appeared shirtless cheering for something?" Those guys in the crowd: "Yes" Normal person: "What for?" Those guys in the crowd: "Um... well... an Integration Bee..." Normal person: ???
@ThrockmortonSign
@ThrockmortonSign 4 жыл бұрын
stupid joke
@AdityaKumar-ij5ok
@AdityaKumar-ij5ok 4 жыл бұрын
Sumner Evans 😂😂
@zanti4132
@zanti4132 3 жыл бұрын
Whether the shirtless students are normal is irrelevant. The significant point here is that these guys are being used as clickbait. Nerds have become sexy - is that great or what.
@normalperson1130
@normalperson1130 3 жыл бұрын
I'm that normal person
@pdorism
@pdorism 3 жыл бұрын
@@zanti4132 nerds were sexy in 2006 when everyone was watching tbbt
@metrictensor9745
@metrictensor9745 6 жыл бұрын
There MUST be a competitive league for this (Or maths). The casting makes this SO SICK
@MrCmon113
@MrCmon113 5 жыл бұрын
There is lots of maths competitions. Not live events though.
@natefcod9361
@natefcod9361 4 жыл бұрын
@@MrCmon113 would've been cool if they were live broadcasted like this with a comentator
@cheesywiz9443
@cheesywiz9443 4 жыл бұрын
@@natefcod9361 this is a speed test with (relatively) easy integrals an actual maths test would have integrals that would take you much longer to solve ..and that is if you can solve it in the first place.. watching a competition like that would be like watching paint dry..sure its fun for the competitors and other people that will try out the problem but not so much for the spectators...
@alexwang5463
@alexwang5463 4 жыл бұрын
there is. it is called mathcounts countdown national competition
@stewartzayat7526
@stewartzayat7526 3 жыл бұрын
@@user-vo8zx1db6m this was, but his point was that usual math competitions would not be.
@ab3040
@ab3040 2 жыл бұрын
Commentator has to be some kind of a PHD student Really knows his stuff while still being more entertaining than a professor
@mrcomet8991
@mrcomet8991 11 ай бұрын
I fell asleep with my phone on and this was in my history 💀💀💀
@mahimshahriar7346
@mahimshahriar7346 3 жыл бұрын
Me: notoriously sucking at maths since 5th grade KZbin: yeah let's recommend this guy integration bee video from MIT
@trebvvv
@trebvvv 5 жыл бұрын
I like how the commentator keeps going "okay, one of them HAS to get this one", and then they don't for like 5 straight.
@mymafiavideos3040
@mymafiavideos3040 3 жыл бұрын
@2:31:10 His answer was almost correct. Here's why: Divide the numerator and denominator by 25. In the numerator you get 1 and in the denominator you get the following: ((3/5) cos x + (4/5) sin x)² Let t be an angle such that, cos t = (3/5). Then, sin t = (4/5) and tan t = (4/3). The denominator then becomes (cos t cos x + sin t sin x)² = (cos (x-t))² = cos²(x-t) This is the denominator. The numerator was 1. Therefore the integral becomes sec²(x-t) dx. Note that t is a constant. So, the answer becomes tan(x-t) Since tan t = 4/3, we can say that t = arctan(4/3) Therefore the final answer becomes tan (x - arctan(4/3))
@davidstebbins8002
@davidstebbins8002 2 жыл бұрын
the commentator made calculus interesting for 3 hours straight someone give this guy a nobel
@MitchellPorter2025
@MitchellPorter2025 5 жыл бұрын
It would be fun to see the faculty version of this. Special functions, grassmann variables, path integrals...
@sauercrowder
@sauercrowder 3 жыл бұрын
Haha, yeah... I know, right? They would totally do those things you said, as we all know.
@sethsoarenson7414
@sethsoarenson7414 2 жыл бұрын
Back in the day you could come for a professor's job by posing problems to them and seeing if they could figure them out. So this would be a great, and traditional, way of figuring out which math prof gets tenure this year
@abcmc6301
@abcmc6301 5 жыл бұрын
2:13:28 *confusion intensifies*
@JohnPaul-di3ph
@JohnPaul-di3ph 2 жыл бұрын
I feel so proud of myself when I get some of them within the time period :D Ofc its a whole other experience to get it while competing in front of others
@FellatioHoratio
@FellatioHoratio 3 жыл бұрын
How do they have seeding lol, is it based on exam scores
@venkatakarthikbandaru8326
@venkatakarthikbandaru8326 7 жыл бұрын
Great Commentary.
@aaronleperspicace1704
@aaronleperspicace1704 4 жыл бұрын
@@edwardguterres8964 dentist knows integration?
@michael199316
@michael199316 4 жыл бұрын
I want a "where are they now" of this competition!
@benltownsend9014
@benltownsend9014 2 жыл бұрын
@UCJ2DFPYDjLvkcSvoMhN_YlQ I bet 1000 bucks they are 10 times more successful than you will ever be you absolute loser
@Repstar00
@Repstar00 2 жыл бұрын
@Macy sondheim yet here you are watching a 3 hour long video from 5 years ago of kids doing math in your free time
@___whateverr
@___whateverr 2 жыл бұрын
@Macy sondheim someone just posted you i just came to witness this historical event
@lollel1490
@lollel1490 2 жыл бұрын
@Macy sondheim ngl you sound like a simp bro
@khair7549
@khair7549 2 жыл бұрын
Lol he got ratioed
@neilsawhney7182
@neilsawhney7182 3 жыл бұрын
Me staring at these integrals blankly, “wow common they couldn’t get 4 integrals in a row”
@yawasama8248
@yawasama8248 3 жыл бұрын
The amount of chalkdust floating in that room would have had me sent to the hospital
@Brianna-meza
@Brianna-meza 3 жыл бұрын
Haha
@user-ec5kh1iy8n
@user-ec5kh1iy8n 3 жыл бұрын
2:31:31 So you're telling me mathematicians also have crazy fans who paint themselves and cheer for them in the crowd?
@alikhidzam3749
@alikhidzam3749 3 жыл бұрын
Holy😂
@lonelypotato
@lonelypotato 2 жыл бұрын
bro that is the level of support 🔥
@kyoko703
@kyoko703 8 жыл бұрын
ESPN: The Square Root of Ocho.
@stumbling
@stumbling 6 жыл бұрын
I would prefer the cubed root. No surds please! :P
@theleftuprightatsoldierfield
@theleftuprightatsoldierfield 4 жыл бұрын
There’s an ESPN 2.82842712?
@ztillusion
@ztillusion 2 жыл бұрын
I woke up an I was 2 hours into this video. I have no idea how I got here
@Asian-ManX
@Asian-ManX 2 жыл бұрын
Left autoplay on on my pc and woke up to this
@sukruti7612
@sukruti7612 4 жыл бұрын
I cannot believe I watched the whole thing. Oh my gosh. Kudos to the commentators who kept it engaging.
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