2024 MIT Integration Bee - Finals

The integrals and answers can be found at math.mit.edu/~yyao1/pdf/2024_...
Playlist for the full event: • 2024 MIT Integration Bee
Integration Bee website: bit.ly/mitintbee
0:00 Introduction
2:40 Problem 1
8:30 Problem 2
14:20 Problem 3
21:00 Problem 4
27:00 Problem 5
32:30 Tiebreaker introduction
33:30 Tiebreaker problem 1
39:20 Tiebreaker problem 2
45:00 Tiebreaker problem 3
50:50 Tiebreaker problem 4
56:40 Tiebreaker problem 5
1:02:20 Lightning round

[@arpitraghav6232]

If I watch it in reverse, it will be a differentiation competition 😂

[@mrswaggypants14]

copied comment from last years' finals video lol

[@Curious-on7ei]

dog

[@wardog697]

very funny original joke

[@vineethvenugopal8613]

😂😂

[@thomaslacroix7405]

Bruh 😂😂😂😂

[@revelcw]

I'd love a commentator duo on these competitions. Find a play by play caster to hype it up and get a professor for a color caster to give explanation and analysis on the integration.

[@roman3077]

That would genuinely be entertaining

[@Metros23]

They used to that for these events.

[@thesecondderivative8967]

They used to do that. Wonder why they stopped. 🥲

[@reliocs]

Commentator is a no cause it'll make them hard to focus

[@flashyred9125]

They need to focus dude

[@nicholashung7871]

“I don't integrate the question, l differentiate the options” ~Ме

[@forgewhelbon1131]

Based and multiplechoice pilled

[@karanchoudhary5320]

Do it in definite integrals 😂😂😂

[@mrhashtag9775]

Moye moye 💀​@@karanchoudhary5320

[@020civ_yasirshafiqshah8]

Sometimes differentiation also becomes difficult😂😂

[@ssayani87]

PLEEEASEEEE get commentators back on for these videos! There was an earlier Integration Bee with commentators that I managed to learn a lot of different math from, because of the step-by-step walkthroughs. It was like a sports event, but with integrals!

[@harnoorkaur0613]

is there a link for the one with commentators?

[@tor.exe_]

PLEEEASEEEE link the video with commentators!!

[@omicronl2172]

:0

[@blackpenredpen]

38:56 "It is hard, it is hard!" 😄

[@Maths_3.1415]

56:01 😂

[@mrbeast3021]

I know you

[@vertechua]

Hard...I couldn't even muster the courage to put up my pen for this 😂

[@JungKookOfficiaI]

omg you are here too

[@Twi_543]

Bprp

[@mrswaggypants14]

MIT almost seems like an alternate reality. A world where students gather to compete in integration (as if it were a sport), and where everyone is involved in something extraordinary to push the boundaries of human knowledge. Amazing ✨

[@shivanshnigam4015]

Copied 😂

[@bobabola2206]

dont bruise ur throat too hard

[@al-hassan9200]

Glazing for these pupils is BEYOND WILD 😢😂

[@NotKululu]

U trying so hard to get in bruh

[@mrswaggypants14]

@@bobabola2206 alright bro calm down, its not that serious

[@JamesJoyceJazz]

commentary would make this slap, even if just for finals?

[@JamesJoyceJazz]

like the MIT 2006 integration bee

[@flashyred9125]

They need to focus abeg

[@simonhaines7301]

​@@flashyred9125obviously the commentary is just for the 1.6 million people watching the video

[@mrswaggypants14]

sLaP

[@TrickyD8P]

We're so back

[@Physicular]

3 2 1 İntegrate! I love this starting.

[@RajdeepMishra-sk6bm]

I just gave you the 360th like

[@GrimmyPigeon]

Loving this. Please continue this every year

[@mrswaggypants14]

The red shirt sitting in the 3rd row is the JEE Advanced 2020 AIR 1 and an IOAA 2019 gold medalist; hes also won the bal shakti puraskar, the highest honor achievable as a teen in India. Also, the guy in the light green shirt @ 2:18 is the only 2 time winner of mathcounts; and a 4 time IMO gold medalist; not to mention he also won the MIT integration bee 2023; potentially one of the best mathletes in the world. Luke and Brian also secured the top spot at the 84th Putnam math competition. This room has some truly incredible brains 🌟

[@rwingssss]

wow, you know so much! how do you know these?

[@mrswaggypants14]

​@ronaldwings5521 it's just that I was really interested in these type of things throughout my last 4 years of high school, so thoroughly researched math competitions and watched various interviews, and over time, knowledge build up

[@aa6eheia156]

Chirag Falor

[@scienceium5233]

is pranjal srivastav also in mit intregation bee ?

[@mrswaggypants14]

@@scienceium5233 nope not in this one, but i really do hope he shows up for at least one of these, obviously hes a very accomplished math olympian but i wonder where his calculus game is at

[@DonOpto327]

I only went up to pre calc in school.(which i failed by the way lol). so this is way over my head, but im just a fan of people doing difficult stuff. and this is awesome! Thanks for recording and sharing!

[@xinpingdonohoe3978]

The step up in difficulty is amazing. The first round I got most. The quarterfinals I got less than half. The semifinals I got just two. This round, apart from the lightning trio, I literally just got tiebreaker #3. These guys are wild.

[@a.b3203]

Did you do it all while being timed though?

[@xinpingdonohoe3978]

@@a.b3203 yes, otherwise I might have (or might not have) got more.

[@isobaric]

You're wild also bro

[@inevitable1222]

bro you got that beast!

[@xinpingdonohoe3978]

@@inevitable1222 here's the trick for tiebreaker 3. When you add the coefficients, you get 0, so 1 is a root, meaning x-1 is a factor. After algebraic long division, that works twice, so (x-1)² is a factor, and (x-1)² √(quadratic) is much more doable, with trig subs and so on.

[@profenk]

I saw this live last month it was so cool

[@Hmath]

this year problems were harder, no surprise first 4 haven't been solved. I did third one with 2 different ways but it seems unreal to get to answer in 5 min

[@emj-music]

i genuinely love this

[@MartinAguirre-314]

Thank you for the recap, your assumptions were correct

[@Zephei]

Problem 5 is really interesting. I would not have thought that you could disguise a combinatorics problem as an integral in that way.

[@SimicChameleon]

Wow Calc 2 as a hobby and math contest. Calc 2 in first impression beat me back in 2020 spring but I am excited to learn it as a hobby until ready to take the class.

[@SumedhBorkar]

Loved every bit of this! I’m actually out sick and have taken the week off from work, but man this is so so good! 😌 Can’t wait for next year I guess!

[@FriggnH8ters]

My toxic trait is thinking that I can beat these students after just learning the calc 2 integration techniques a few days ago 🤣🤣🤣

[@yna418]

real

[@lemonlime-brawlstars3676]

learning this is ap rn and thinking I can do them too

[@geo9788]

lmao same

[@Potato-so6zr]

Same but I’m currently learning them now

[@SHUJA-UD-DEEN]

I think Chirag will easily beat them but I was wrong😢😢 Cause these problems are way easier than the JEE perspective and Chirag Falor had AIR 1 in JEE

[@spectooor]

Please continue.

[@user-wp3bh3qe9j]

Would be 10/10 if it had a commentator. Hype it up to all KZbinrs like me that knows shit about math but just want to watch some crazy shit before going to bed

[@mrrobot3950]

it’s new competition. so interesting and exciting

[@JohnSmith-cg3cv]

Luke Robitaille 😢 Never forget

[@ihtakstro]

I like how i see this viedeos without knowing the basicals of integration, i'm just existing, and trying to figurate how did i would to do this without the time limit.

[@davidobese744]

Its really interesting to watch

[@aditya1602]

The ln(2e^x-1) /(e^x -1) could be done by feynmans trick......nice to see such a fun competition, I wish it was open to outsiders as well haha, they look too fun to solve!!!! Love the energy of the room

[@arandomfish9630]

Where should the parameter be placed ?? I can't do it

[@armansrivastava1055]

i got 2lnx/(x^2-1) now what to do

[@user-mn4yg7kl5i]

there is no energy in the room lol

[@strikercool911]

@@armansrivastava1055 integrate that by parts

[@HarshVardhan-wf5lu]

happy to see that chirag falor bhaiya got upto. the 2nd level

[@andrewnguyen736]

you guys are great mathematicians!

[@Horizon24129]

these two guys were beast

[@souvikdas]

YOU NEED A COMMENTATOR FOR THIS.

[@kudzem]

Great video, thanks. Would be great if you also showed how to do the integrals that they couldn't do

[@zachplaysallday-zpad5731]

13:42 seeing him miss by just 2 on the denominator caused me physical pain

[@blank12312]

I literally said out loud NO

[@VimalkumarChawda]

second is 1/2. logx/x is 1 so take 2 outside as common. done.

[@salamm8910]

damn luke didnt make it to finals. still see him having a fun time in the audience :)

[@thesecondderivative8967]

I've been watching these bees for three years now (was a little late on this lol). Applied for MIT this academic year. Hope I get in. This type of culture is something I would be forever happy to engross myself in for the rest of my days. 😅

[@xygomorphic44]

Did you ever get in?

[@FlairTech]

@@xygomorphic44 how old do you think this comment is lmfao

[@thesecondderivative8967]

@@xygomorphic44 I wouldn't know yet. I just made this comment 2 days ago after all.

[@a.b3203]

@@thesecondderivative8967good luck.

[@jak_19]

Did you get in?

[@holyshit922]

First problem can be done by parts but we need to produce derivative of inside of denominator as factor of numerator Tiebreakers Problem 3 Factorize expression inside square root

[@fjpl0077]

these men are so amazing!!!

[@joaquingomez9226]

Man I love how people has the opportunity to be in these universities, I'm from Argentina and could never dream of something like that, be proud of having the opportunity to at least participate to study there, I'm proud of my opportunity to study, too. But it's just so amazing to be able to study there. Well, anyways I'm happy that there's internet to access free resources

[@thesuperstomper4776]

These are great

[@SouravSundarPanda]

3,2,1 integrate Me:Yes

[@RogueRunna]

😤🤌

[@wanderingpalace]

3,2,1,integrate is the most funniest line i have ever heard

[@Haxislive766]

Omg I am done with problem 1 😤😤 1. Denominator sin(x+53°) 2.x+53°=t By parts integrate

[@JujutsuMath]

proud of myself i solved the last integration question in 5 secs

[@JujutsuMath]

@Muita-Informacao i can make a vid on my yt explaining how to solve integrals easily if you want ?

[@michaeltherandomperson9652]

I am glad I did it in 20 seconds lol. Barely remember the trigonometry formulas.

[@ahsonkusare2352]

@@JujutsuMathyes please

[@KDYinYouTube]

I am better than you, I solved the last question when they showed the first question.

[@JujutsuMath]

lets go bro thats sick@@KDYinKZbin

[@brandont4355]

Nooo, on the second problem, the guy put e at the bottom of the integral instead of 1 after he did u substitution and rewrote it. That’s a simple mistake

[@johndavidabe624]

one day I'll be there competing in this

[@ssatyam1]

Really bro !!!! Did u guys just click for going to next page in pdf !!!! @MIT

[@blam1228]

50:32 "do you guys want a break?" Both competitors: 🤷‍♂

[@9os638]

Here before this blows up

[@easyfundbles2608]

I love it ❤ the cocept is too much hilarious as a student of calculus who has it is own struggles with it, but they did it 5 min for integration what a competition ia it to participate😂😂😂

[@geneyoung11111]

participants don’t allow to use Algebraic Regularization on 1/x^n term? 😢

[@judeann]

GO BRIAN!!

[@frickingcore1o_]

i am stunned to see that jee advanced topper chirag falor was defeated by brian liu ..... as we can clearly see on the leader board

[@jakubstawarczyk]

"You are off by a constant factor" after 2nd .. made me laugh so hard 😂😂😂😂😂

[@zhixin1101]

What is the name of the timing software?

[@mayukhkotal6661]

bro chirag falor(iitjee rank1 2020) was on semi final #1 with Brian Liu ....

[@Science-bp5pg]

it would be better if the timer was shown all the time, while they're solving, it adds to the suspense of the video

[@omaki82036]

*53:49* Bro's remembering the days of y = mx + b ☠☠😭😭

[@kaonesegwai8437]

This is where I belong❤

[@clickoppotamus]

simultaneously sad and glad all my college math skills are gone

[@flavaTF2]

Need a gaming announcer over this it’d be the most entertaining competition 😂

[@robleytrades]

Can I join this tournament if I've only taken AP calculus AB?

[@Potato-so6zr]

Need to take Calc BC

[@taoufikelafya3081]

I would like to see how to solve the first one

[@dontwannabefound]

I fucking love this- Asian host dude is awesome- yes get some commentators who are experts to provide play by play -

[@JessicaJenkins-pw9ox]

1:07:36 Bro is shaking, hope he is alright.

[@mohammadabdulla8601]

Engineering is the Ellison of science

[@j2i2t2u2]

Twitch stream with commentators next year pls!

[@puzzlegamer7625]

Watching directly final

[@maxz8807]

Well done Brian, I rooted for the wrong person with the letter b i guess 😂😂

[@debadityasaha1684]

No square root by parts , ?

[@animeboinod3002]

50:29 do you guys want a break? No.. we're asians

[@Nepali_guy_Study_yt_account]

Lol 💀

[@CaptainFantastic222]

Currently experiencing college PTSD flashbacks from Calc 2

[@albertini552]

The one who Wins, gets the cheerleader

[@AdrianCHOY]

Haha … integration bee … • can u use it in equation? • I would like to phone a friend

[@aniruddhajoshi1666]

Rank Number 3 Chirag Falor - JEE ADVANCE AIR 1 2020❤❤❤🇮🇳🇮🇳🇮🇳

[@user-li8jo1vl4t]

20:34 it must be "less than pi"?

[@hugoaraujo3]

The close answer in problem 4... If only -1/3 were positive!

[@kummer45]

The wars that we should be fighting…

[@BPGHchess]

+C

[@ambarsinha9590]

Chirag Falor JEE ADV AIR 1

[@criticgamerz6382]

Which one is Brian ( that purple hat one ) ??😅

[@prodwb]

"The test's gonna be easy, its your first mock :)" the test:

[@AlonsoRules]

You guys really need to make a serious pitch to the IOC to make this an Olympic Sport. This is blood sport. This is up there with brutal events like the decathlon, cross country skiing, single skull, 50km walk, 400m hurdles and marathon.

[@HenryBriskin]

Harder calculus problems than l used to solve

[@Arthur-hg7ny]

Anyone else fast forward though the work to see if their answers are correct 😂

[@tibetannoodles]

how to solve the final problem 5?

[@LightYagami-ei1ko]

Almost feels like the world where I wanna be but will never make it like an really far fetched reality

[@crazo6424]

Hey Evan Tanko !

[@sumasaha7542]

I had solved the integral of try-breaker problem no 1. But it took about 40 minutes to solve the math. 😂

[@angelnicolev.iniego4253]

2:19 I thought the guy in black without the bucket hat is the other competitor

[@Rithida.Math2024]

Compute the Integral x^2024/(x^2+1)^2023 dx

[@Harbingersknight21]

Take x²+1=t

[@Rithida.Math2024]

Do my exercises, please.

[@Harbingersknight21]

@@Rithida.Math2024 use substitution

[@aagamanpokhrel4113]

xD the real winners are probably the one's who set those questions

[@Notsosarcastic_02]

Those are the teachers i guess

[@nodistraction5857]

Tell me after graduating from college they get salaries for solving questions instead of doing coding in IT companies

[@_yourfavmexican]

Bring commentators back!!

[@sandorszabo2470]

Not five minutes, 04:57 only.

[@vanoelizbarashvili6655]

29:29 no way bros minioni gonia tavi ALLATI AR XAR

[@JungKookOfficiaI]

crazy

[@ananyagupta4599]

Wanted to see chirag 😢 but these people are so insanely talented holy shit

[@tirtheshjadhav1898]

Yeah

[@ShikaruXit]

2nd was easy as a jee aspirant