MIT 2006 Integration Bee

[@OfficialSilverMoon]

You're not deaf, audio starts at 00:32

[@NOLlFE1]

LOL i thought so

[@geetaagarwal4622]

Thanks

[@user-pc3jv6zb6j]

no! ima bout to smash my headphone Thanks

[@moaazelsayed]

I scrolled down looking for that comment lol :")

[@hollywoodhits7439]

Hahahaha thank u....

[@ignaciodemiguel3683]

"Hey, Keith, don't forget to upload the Integration Tournament to KZbin." "Yeah sure, I won't forget." *10 years later*

[@MiNa-sd8ms]

🤣🤣🤣🤣

[@harshvardhansingh9057]

🤣

[@Reivivus]

He didn’t forget

[@sauercrowder]

But was he reminded?

[@titanwilkins4044]

Hahaha!

[@unknowno_o8220]

They really made some of the most traumatic experiences of my university career into a sport. They really built different.

[@Jannfndnanakid]

idiot traumatised by maths

[@StudiosAdVanced]

other colleges: at parties MIT:

[@guthries]

I went to Michigan Tech and we did this at our parties.

[@MonteLogic]

😂😂

[@marshmelows]

wooooooo

[@Aserve1st]

theyre partying in their brain.

[@uristmcary]

im down, beats sitting around wondering when you can go home without making your friends feel sad and lonely.

[@NeverLooksAtComments]

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]

NeverLooksAtComments he’s my dentist lol

[@اطلبالحقوالرحمة]

@Phytom try an integral before you die, or you'll regret :haha

[@nuklearboysymbiote]

well yeah they said they wrote some of those integrals so obviously they knew what they were talking about

[@gwub7117]

as a math nerd, differentiation was nice but integration was the cherry on the top

[@vinnerzucc1154]

Edward Guterres what’s his name

[@chrisw3869]

This is the most intently I've ever watched something where I can't even begin to comprehend what's happening.

[@mattjohnson1953]

Hahah, it's truly phenomenal.

[@babblingbeanbags8301]

Same

[@MeeZyStudioZ]

I woke up to this video playing and got so into it, i couldn't go back to sleep...🙆‍♂️

[@Gametheory101]

The integration is pretty fantastic, but what amazing video quality for an amateur 2006 production!

[@KeithWinstein]

+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]

@@KeithWinstein truly amazing..

[@pablodeagustin5404]

its MIT, what do you expect ?

[@itzyoung]

@@KeithWinstein 1:20:33 , pretty amazing for the time!

[@vikvc]

@@KeithWinstein While many teachers around the globe still struggle to plug a computer to a projector.

[@orangeboy97]

17:24 "small mistakes crash rockets into planets" I'm going to say that the next time my physics professor makes a mistake.

[@ozancanca9740]

Tall Random Guy me too lol

[@joelbachul924]

I was about to comment this LOL 😂 that was hilarious

[@eggshells652]

Tall Random Guy small mistakes cost lives and millions of dollars

[@jeanmichel4269]

hopefully everything is now calculated with a computer

[@ДометдеВоргес]

And so he'll say when you fail your test 🤣🤣

[@ComposingGloves]

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]

That's amazing.

[@RubyByte]

What the fuck are you talking about

[@epicm999]

If I ever teach a class, I'm gonna steal that.

[@alexandervu8693]

Was I looking for a 3hr video on integration? No Did I watch it? Hell yeah

[@alexandervu8693]

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]

@Throngdorr Mighty ya so is integration

[@learninggreek501]

hell yeah thats the spirit!

[@tauceti8341]

@@alexandervu8693 the first hours was bad no one could solve their integrals, poor lads.

[@bigbuilder10]

@Throngdorr Mighty ???

[@n00bspanker]

"I'm sure most of our viewers would be familiar with [insert mathematical concept here]" Me: "Yes. Absolutely. Entirely."

[@ItumelengS]

For sure, no doubt, easy peasy...

[@gabrielxavier4408]

😂😂😂😂

[@saff1257]

i got it.....😳

[@Dr.farazalam]

Yeah sure, except those cosh and sinh.

[@epicswirl]

I’m surprised they didn’t know the first one

[@voguelactose9468]

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 .

[@AAA11546]

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]

Aren't they amazing?

[@AAA11546]

@@amyfalconer1660 truly amazing!!!

[@vinnerzucc1154]

What are their names?

[@FruchteisMitErdbeer]

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]

This is the only good MIT integration bee video I can find. Any other years' videos as high quality as this?

[@SqueeblesMcklooflin]

I would rather watch these than sports any day

[@barte6128]

Can’t believe this was made in 2006, Windows XP era

[@wristocrat]

Yeah these guys should really consider going into a field with technology in it considering how good this video is

[@TacosYBurritos8P]

2006 was not the 1960s either

[@tonywoo4861]

I love how the commentators make legit comments about integration. Absolutely amazing.

[@KurdTillDeath]

ha... what a bunch of nerds... wish i could do that

[@prabalbaishya6179]

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]

Prabal Baishya that is very true

[@crismal6477]

Prabal Baishya I’ve learned that way, lol And also through websites

[@avegaughtastiffy1654]

It’s really about applying the rules

[@valt1337]

but can they fight or invite a girl out?

[@bhartiranjana3087]

Did i really just watched 3 hours long integral bee instead of solving my homework on differention first

[@1.8millionvolts87]

Nah don't worry differential are very doable,

[@cassied9327]

james barns I feel this. Watching this when I’m supposed to be working on series 😂

[@rosalestomlesther1772]

hahahah lol

[@Sedona_FD3S]

no, you didnt

[@davidraveh5966]

I have my Calc 2 final tomorrow

[@starlordstarlordman8489]

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.

[@Meta-Drew]

"They haven't been able to get the first 5 problems" *Me on my 5 question Calc test*

[@BakersTaste]

When the Athletics Dept is involved with the integration bee, you know it's a tech school.

[@thenextkawhileonard2585]

Her: he's probably out cheating on me Me and the boys:

[@rohanramani6243]

Lmfaoooo

[@tanaykumar9636]

This seems reasonable 😉

[@Usuario459]

Lmaoooooooooo

[@backlog2389]

This is honestly such a genius idea. Its an easy way to get your students extremely comfortable with integration for the higher level courses.

[@TrinadhV]

New roommate: So, what sports do you like to watch on TV? Me: .. it's complicated.

[@mandymcfadden584]

How wonderful the world would be if everyone spent their time in such pursuits. Beautiful, happy, intelligent, wholesome people.

[@mathmaniac3033]

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]

Thanks so much!!

[@mathmaniac3033]

@@nl7837 no problem!

[@connorshea9085]

+

[@bait5257]

F

[@iminaband3351]

can we talk about how the rewards were VERY underwhelming

[@danilocorreia5104]

Now I know why I wasn't accepted at MIT

[@Junzipark8881]

Danilo Correia yes judging by your sentence we can all tell why you were rejected from mit

[@jeeaspirant6288]

@@Junzipark8881 shut up kid

[@silvergg8152]

@@Junzipark8881 Cause he misused the preposition "on"? Kind of ironic considering in your sentence "by" would be more appropriate than "from".

[@Junzipark8881]

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]

harsh tripathi alright man it was a joke in the first place because he probably did not apply to mit in the first place

[@NASAFanboy]

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!

[@rahilsanghavi9347]

The thing I loved the most is that the commentators know what they are talking about...they seem to be MIT integration bee veterans

[@Kathlyplayz]

Definitely Intergral

[@raahimhadi4905]

@@Kathlyplayz lmao

[@davemonkey26]

"Not a bad crowd here tonight, gotta be at least 60-70" *Laughs in 619,000 views in 2019*

[@bovino9245]

1,000,000 mark 2020

[@sauercrowder]

I read that as 60-70 inches

[@casualbeluga2724]

@@bovino9245 1.3 million views on October 22nd

[@dnavaneet]

1,487,501 views Dec 5, 2020

[@zhasulanaset6514]

1500000 views 2021 6th january

[@NoGoodHandlesComingToMind]

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]

Sarcastic

[@brianchang408]

imagine if there was a professional league for this.....

[@xDosReis]

there are people who could integrate these in their head in two seconds

[@jaronfeld123]

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]

51:02

[@cappuccinopapi3038]

The world world would be a better place

[@chizurin6357]

@@jmika5984 That integration was really simple and easy

[@prateek16]

The dude with no shirt on showed up at the wrong party

[@guymanperson1]

No he was great

[@bonbon_1729]

This one video has helped me be more eager to learn maths. I know it’s old, but I thank everybody involved.

[@jkershenbaum]

Do the students down the hall in the MIT laser lab have a disintegration bee?

[@kushalsb460]

differentiation is too easy to have a competition, I guess.

[@gautam_banna]

Kushal Bastakoti chutiye

[@rubricscube_]

I chortled

[@frogstereighteeng5499]

No diffeqs? There would be some fun ones there lol.

[@MoonlightMirage]

@YouBuet Trust me, a woooosh ain't needed around here :p Differentiation is definitely easier than solving integrals

[@sukruti7612]

I cannot believe I watched the whole thing. Oh my gosh. Kudos to the commentators who kept it engaging.

[@lariosphotography4721]

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.

[@christianblake2179]

Very few hold the title of “Grand Integrator” at MIT and this legend is one of them

[@deathzone4046]

I won in 2013 lmao

[@RandomPerson-iw3mw]

@@deathzone4046 wow respect Are you Justin brereton

[@deathzone4046]

@@RandomPerson-iw3mw yep

[@timewalker6654]

@@deathzone4046 Well, you are a nerdddd

[@Dennis-qz7md]

@@deathzone4046 what are you doing now out of interest

[@pharmacist66]

bro go to sleep man you've been on youtube too long

[@shorifulhaque5137]

aite fam you're right gn

[@Rulemaker0701]

Nah it’s only 1am

[@medic3202]

Fam you are right

[@owen19387]

its 102 Am rn lmao

[@afonsocastelao279]

2:49 here, you’re right, good night!

[@owlsschoolofmath9732]

Time stamps (when problem is displayed on screen): #1 9:10 #2 13:00 #3 17:42 #4 22:07 #5 27:15 #6 32:52 #7 38:30 #8 43:45 #9 46:40 #10 48:40 #11 54:31 #12 58:45 #13 59:47 #14 1:04:45 #15 1:09:25 #16 1:12:10 #17 1:15:45 #18 1:17:21 #19 1:21:45 #20 1:22:55 #21 1:27:52 #22 1:31:07 #23 1:36:40 #24 1:41:26 #25 1:46:19 #26 1:51:18 #27 1:52:04 #28 1:57:54 #29 1:19:07 #30 2:02:56 #31 2:07:24 #32 2:13:21 #33 2:18:08 #34 2:22:29 #35 2:25:28 #36 2:28:44 #37 2:30:00 #38 2:37:04 #39 2:42:03 #40 2:45:34 #41 2:48:38 #42 2:53:30 #43 2:56:10 #44 2:59:57 #45 3:02:33 #46 3:08:06 sorry, no idea what round anything was in. I did videos on my channel for most of these if anyone is interested. :)

[@BlijVrouw]

They're definitely trolling us by calling these "trivial" or "easy" integrals.

[@r1ultramax]

No they are actually easy.

[@ezu8501]

they are easy...

[@timewalker6654]

Trivial means classic

[@KayOScode]

They arent too hard, but they require tricks

[@bait5257]

Um yes they are actually

[@Steveiegaming]

gotta love the dude with the double integral face paint

[@nathan87]

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

[@AlwaysBeWater]

Somewhere in that crowd, someone is solving all these in his/her head.

[@kataeiautsav918]

but that someone wasnt able to clear the test to be selected for this event

[@Victor-ji1rz]

Utsav kataria or didn t try

[@bensblues]

no there isn't. Integration isnt like that.

[@tahademirkan8567]

His name is Will Hunting

[@bensblues]

@@nukemars9445 I find it highly unlikely Nikola Tesla is sitting in that crowd considering he died over 70 years ago...

[@trebvvv]

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.

[@mathisnotforthefaintofheart]

As a mathematician myself, I enjoyed this video and frankly speaking, I learned some stuff from it as well...

[@datboydnk]

Me: notoriously sucking at maths since 5th grade KZbin: yeah let's recommend this guy integration bee video from MIT

[@brian7168342]

for the first extreme integral (answer at 2:12:27), the answer is easily found if you use euler identity for sin(x). You simply get left with a constant term -ln(2), as the ln(e^i*x - e^-i*x) has very nice symmetry

[@BradleyLayton]

Yes, I ran this in Mathematica, which arrived at - (Pi * Log[2]) / 2

[@angusclark6170]

I was actually super excited because I got this quite quickly: Instead of using complex analysis you can do what the one commentator said and do 2I = log(sin(x)) + log(cos(x)) = log(sin(x)(cos(x)) = log(1/2(sin(2x))) = log(1/2) + log(sin(2x)) then you can evaluate the integral of log(1/2) from 0 to pi/2 and get pi/2(log(1/2)) and then you can do a u = 2x sub on the log(sin(2x)) integral and you'll eventually get that integral into 1/2(2I) = I This leaves you with 2I = pi/2(log(1/2) + I so I = pi/2(log(1/2))

[@rando_guy]

​@@angusclark6170yeah same tbh the insights the commentator was giving were actually pretty good throughout

[@yuitora8749]

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]

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.

[@billydoan6153]

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]

Indian high school students writing the entrance for the IITs are way more intelligent than them.

[@ガアラ-h3h]

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]

Some of these were soo easy 👍

[@tobiasmelgard2070]

⁠@@DeadPool-nx3gyGood for you my guy

[@cdong]

Me: I'm an engineer, I can do this Also me: let me get an integral table

[@johnclever8813]

Engineers be like: pi=3

[@henrychan720]

@@johnclever8813 e=pi=sqrt(g)

[@cdong]

@@henrychan720 stop it hahahahahahaha

[@dilipghosh5852]

sin x = x

[@zackarysemancik5491]

@@dilipghosh5852 thats more of a physics thing, tbh

[@hywei5171]

MIT students: do integral the old fashion way Me: google "integral calculator"

[@234AaronSuper]

no cap haha

[@JasonJia11]

some of the extreme integrals couldn't even be solved by Symbolab or Mathway

[@nathandrake711]

Sometimes an integral will have multiple answers all correct

[@navjotsingh2251]

@@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)

[@choojunwyng8028]

So i just finished learning integration at my school today and I thought it was pretty easy and fun to do. I forgot about this video when I watched it years ago because I had no clue what this type of maths was. Now the video came to my feed, and I just realised my integration knowledge doesn't even scratch the surface of what there is.

[@metrictensor9745]

There MUST be a competitive league for this (Or maths). The casting makes this SO SICK

[@MrCmon113]

There is lots of maths competitions. Not live events though.

[@natefcod9361]

@@MrCmon113 would've been cool if they were live broadcasted like this with a comentator

[@cheesywiz9443]

@@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]

there is. it is called mathcounts countdown national competition

[@stewartzayat7526]

@@user-vo8zx1db6m this was, but his point was that usual math competitions would not be.

[@noahferguson9345]

Here’s some info about the contestants 16 years later: David Shin lives in Chicago and worked for 14 years in algorithmic training but has since retired. (Edit): Ross Fu is an AI/ML Architect for EMD Electronics in Baltimore and a business of Merck KGaG in Darmstadt, Germany. (Nothing for Li Yu) (Nothing for Ksenia.) (Nothing for Bobbly Liu and Taige Hao.) (The grand integrator.) Yogesh Ramadass: he is a senior director of nanotechnology in Santa Clara California. Sriram Krishnan: He is the VP of Strategy and IP at Istari in Cambridge MA. Matthew Thibault: he is a senior applied scientist at Amazon. Vijay Kumar: I believe that he is a computational biologist at 10x Genomics in Washington DC. (Could be wrong though.) James Albrecht: died. He died in 2007. And that’s all I can find.

[@YangWangPhD]

This needs to be on ESPN. Where's the 2007 season?

[@ahnafsamin4507]

1:18:47 the guy on the right is my situation

[@vamsigollapalli1333]

Lmao

[@karthik-ex4dm]

So true!!!😂😂

[@drrann4189]

Ee

[@naufal6174]

1:19:12 LMAO

[@yunjaejung9720]

Also me.

[@forgetfulfunctor1]

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]

bruh

[@karanchotaliya1714]

3:00 AM Always leads me to weirdest place.

[@in_usek324]

at 3 😂😂😂lmao

[@isaact3794]

2:28 for me lol I'm close

[@anthonydargis4441]

This is world class commentary. The integration was ridiculously impressive, and i probably couldn't do a lot of those integrals, let alone in under 5 minutes, but i could NEVER commentate like that, bravo commentators

[@leomurry8195]

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]

How do u get an A in calc 2 and not know what cosh is lol

[@leomurry8195]

@@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

[@EthanBlaineMeyers]

I'm about to graduate college with an economics degree and I haven't touched an integral since 2015. This is awesome content! Even the first round was fun to watch - much credit to the commentary booth.

[@davidvalle3068]

I felt bad that I couldnt solve these, but then flet better when they couldn't either

[@jeevansamrudh5600]

those were pretty easy , wonder were they mit graduates or not

[@EDROCKSWOO]

@@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]

@@EDROCKSWOO they are nerds anxiety comes with high intelligence

[@bee_irl]

@@mridulbhatt8917 Anxiety comes with high intelligence?

[@nanni5230]

@@bee_irl It's not proven but a lot of "geniuses" tend to have anxiety in some sort of capacity.

[@vihashah5975]

commentator: "someone's gonna get this", Li Yu and Ross: we can do this all day...

[@ziggystardust6566]

3:48 dudes got binoculars lmao

[@Lollypop101xox]

Hes cute

[@beamerz9398]

hes not missing anything 🤣

[@dc2836]

@@beamerz9398 😂

[@christianmcclaine9990]

I never thought I would hear the word "extreme" next to "integral"

[@gabedarrett1301]

Pretty much every integral is 'extreme' to me lmao. That's why I solve my integrals numerically

[@sooryanarayana3929]

Now I'm watching this in 2022, as a high school student from India and I tell you all these problems are of EASY level to us, I was shocked to see them work hard with these questions, but anyway it was highly educational and useful. My Congratulations to everyone who participated. Learnt a lot of substitution techniques and tricks. Thank you.

[@jiamingwang588]

This was in 2006. Back then information wasn't as available as it is now. Not to mention we have calculators to help us on these now.

[@MitchellPorter2025]

It would be fun to see the faculty version of this. Special functions, grassmann variables, path integrals...

[@sauercrowder]

Haha, yeah... I know, right? They would totally do those things you said, as we all know.

[@sethsoarenson7414]

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

[@AAA11546]

44:57 *"Hard to see how that would be zero"* savage commentator

[@ninetales1234]

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]

@@ninetales1234 but sine is always positive lol

[@ninetales1234]

@@deadlypyre act of desperation

[@nathanschmidt7662]

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.

[@saurabhgi]

The commentator is the real mvp/math wiz during the finals.

[@school6268]

yeah, guess mit profs are like that...

[@jaredtweed7826]

The commentator is the camera guy in this video: kzbin.info/www/bejne/b6qafWuhdtqDrtU

[@jerrymemberryoh4816]

@@athena546 was mmm

[@Bigaznboo010]

D I itI’ts YI eah that’s @@athena546 ir I’m okay good good job buddy hope hope you’re ok

[@Bigaznboo010]

Dfddffffffdfffffff

[@zenterno-zt1pl]

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]

Underrated

[@yaboimanehmoe7574]

Lmao

[@DrPeppa-ux4jn]

I'M DEADDDDDD

[@LJohann]

Wtff

[@内田ガネーシュ]

Kiss it and miss it.

[@abhinavcheedella4296]

It’s crazy that when I first saw this, this was some crazy math shit but now i actually understand it all

[@blitxaac]

Ended up spending an hour watching this and revising my integration skills, totally worth it 5/5

[@99bits46]

Can we all take a moment and appreciate the quality of this event. Video and Audio quality, Commentary aswell as Organization of the event.

[@georgesadler7830]

Thank you so much for this lengthy Integration Bee. MIT has incredible students.

[@PavlinMavrodiev]

The commentators really saved the thing. At least someone had to know how to integrate

[@user-yr3uj6go8i]

Man, I remember thinking that I would never understand this when I watched this video many years ago. A few days ago, I successfully crammed everything (including integration) from Calculus 1 material for a day straight for the final and ended up getting an A for the class. Never give up, everyone.

[@JasonJia11]

Thank you for your inspirational words Egg.

[@Maxmuetze]

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)

[@Exachad]

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]

Any tips for getting in?

[@Exachad]

@@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]

You're not in MIT with that stupid ass profile pic

[@robbyburns5822]

@@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]

Bob Jones what’s wrong with his profile pic

[@kyoko703]

ESPN: The Square Root of Ocho.

[@stumbling]

I would prefer the cubed root. No surds please! :P

[@daleftuprightatsoldierfield]

There’s an ESPN 2.82842712?

[@Ifoundthelight1]

These are the people your math problem tells you not to worry about.

[@venkatakarthikbandaru8326]

Great Commentary.

[@aaronleperspicace1704]

@@edwardguterres8964 dentist knows integration?

[@kablooey60]

This makes me want to improve at mathematics.

[@Crustyislooking]

Hydroxoid xqcL

[@Gamezilla00]

The commentary really made this thing what it is. Surprisingly I watched through it all and quite enjoyed it lol

[@TheRyry97]

this is sooooo great! i was surprised that guy had trouble with integrating tan^2(x), since you can just equate to sec^2(x)-1 and remember that the derivative of tan(x) is sec^2(x). then again, probably not so easy in front of the crowd!!

[@madhavsankaranarayanan4588]

Yeah it is bitch

[@mathematics5573]

they are probably just not that good at maths.

[@revl6151]

@@mathematics5573 this isn't real math lmao. Real math is logical like philosophy Being good at fast integration has no correlation on you're ability to do math

[@mathematics5573]

@@revl6151 Rubbish,

[@revl6151]

@@mathematics5573 Then you haven't taken higher level math courses. Topology, abstract algebra, complex analysis, etc This is real math, you're ability to do fast integration, simple calculus has no impact on you're ability to do real math. Often the people who were slower at calc do better at higher level math

[@Jack-cm5ch]

lmao this is so nerdy. i kinda like it

[@madhavsankaranarayanan4588]

No u

[@undeadnorske]

@ki kus Doing integrals for fun is pretty nerdy and weird. they never said it was a bad thing.

[@undeadnorske]

@ki kus I think your finding a problem with the word nerdy and weird. Weird is just meaning its not normal and no shit people who go to MIT are not normal and nerdy is referring to someone who does complex things for fun or likes very complex things for fun so I think your problem is that you think there being used as a derogatory terms.Other then that I don't know what fucking tangent you are on.

[@prince5922]

@ki kus nerd doesn't mean you're smart. It means you are socially inept and weird, because you only do one thing in your life.

[@itzyoung]

math competitions are fascinating and exciting! (proof: 1:30:32)

[@unreligeouspope7902]

I have a geopolitics paper due next week, this research is quite helpful!

[@ChrisLee-ec9fo]

At first, I felt like these guys were geniuses because the problems seemed hard at first glance. So I picked up up a pen and started working on these problems, college memories from 10 years ago started to kick in and I can solve most of them except some that need particular tricks which I forgot. I got a similar pleasant feeling, a little sweaty and excited, as I just had a good workout. I really hope we had this contest back in college.

[@sumnerevans]

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]

stupid joke

[@AdityaKumar-ij5ok]

Sumner Evans 😂😂

[@zanti4132]

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]

I'm that normal person

[@pdorism]

@@zanti4132 nerds were sexy in 2006 when everyone was watching tbbt

[@ab3040]

Commentator has to be some kind of a PHD student Really knows his stuff while still being more entertaining than a professor

[@EliteRowmaster]

59:53 is me talking to a cute girl at a party

[@xxbondsxx]

So true

[@adriansalustri5558]

...sure...

[@danielsevell5732]

So here's the rubber match

[@fuckman297]

one a piece thus far

[@marcknight-3prfl-c901]

that's funny.....is that the girls facial response

[@kreglfromworld]

"high definition" is an understatement considering this was 2006

[@ezuki6774]

"this is Sport Cast at MIT." 5:18 im wheezing

[@Epilogue_04]

So KZbin recommends me this after not being able to solve an integral by partial fractions feels bad man

[@asthmen]

I love it! The best part is absolutely the commentary; the more recent one I find quie unwatchable precisely for that reason. By the way, Li Yu was so close at 14:20! If he hadn't forgotten that dx = 6u^5 du, he would have got that one. Incidentally, the trick to 1:08:00 is a substitution, t = x + sqrt(x^2 + 1). Oh, and for the integral at 2:50:00, I do believe that the easiest thing to to is to multiply top and bottom by (sqrt(x^2+1)-x) to give you the integral of sqrt(x^2+1)-x. Then you can probably use a substitution of the form x=tant to solve for the square root.

[@Rishi3404]

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!

[@user-ec5kh1iy8n]

2:31:31 So you're telling me mathematicians also have crazy fans who paint themselves and cheer for them in the crowd?

[@alikhidzam3749]

Holy😂

[@lonelypotato]

bro that is the level of support 🔥

[@michael199316]

I want a "where are they now" of this competition!

[@benltownsend9014]

@UCJ2DFPYDjLvkcSvoMhN_YlQ I bet 1000 bucks they are 10 times more successful than you will ever be you absolute loser

[@Repstar00]

@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]

@Macy sondheim someone just posted you i just came to witness this historical event

[@lollel1490]

@Macy sondheim ngl you sound like a simp bro

[@khair7549]

Lol he got ratioed

[@flygonfiasco9751]

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

[@Whatshappening2024]

how do these guys not have heart attacks.

[@melissarainchild]

they're used to this...nerds BECOME over time...you dont wake up as a nerd :) I love this video... :)

[@SkillUpMobileGaming]

+Hushe Absolute bullshit. Even a non-Ivy college student would disagree with that. That kind of mindset you have is encouraging you to give up and quit trying. You're ridiculous.

[@itstaz1351]

@@hushe3302 Honsetly, it is discouraging to others, but being in only pre-ap geometry, and seeing others understand these new concepts within seconds and be able to apply it with the understanding that takes usually days to get made me realize this. hard work cant beat the talent people have in these classes, exactly why tests are not the same types of problems than what you learn, they different problems that you can only solve if you have a great understanding of the subject.

[@Trrippy_Shades]

Sh

[@Trrippy_Shades]

@@melissarainchild shhh