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

Пікірлер: 370

  • @revelcw
    @revelcw3 ай бұрын

    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

    @roman3077

    3 ай бұрын

    That would genuinely be entertaining

  • @Metros23

    @Metros23

    3 ай бұрын

    They used to that for these events.

  • @thesecondderivative8967

    @thesecondderivative8967

    3 ай бұрын

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

  • @reliocs

    @reliocs

    3 ай бұрын

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

  • @flashyred9125

    @flashyred9125

    3 ай бұрын

    They need to focus dude

  • @arpitraghav6232
    @arpitraghav62323 ай бұрын

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

  • @mrswaggypants14

    @mrswaggypants14

    3 ай бұрын

    copied comment from last years' finals video lol

  • @Curious-on7ei

    @Curious-on7ei

    3 ай бұрын

    dog

  • @wardog697

    @wardog697

    3 ай бұрын

    very funny original joke

  • @vineethvenugopal8613

    @vineethvenugopal8613

    3 ай бұрын

    😂😂

  • @thomaslacroix7405

    @thomaslacroix7405

    3 ай бұрын

    Bruh 😂😂😂😂

  • @nicholashung7871
    @nicholashung78713 ай бұрын

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

  • @forgewhelbon1131

    @forgewhelbon1131

    3 ай бұрын

    Based and multiplechoice pilled

  • @karanchoudhary5320

    @karanchoudhary5320

    2 ай бұрын

    Do it in definite integrals 😂😂😂

  • @mrhashtag9775

    @mrhashtag9775

    15 күн бұрын

    Moye moye 💀​@@karanchoudhary5320

  • @ssayani87
    @ssayani873 ай бұрын

    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

    @harnoorkaur0613

    2 ай бұрын

    is there a link for the one with commentators?

  • @tor.exe_

    @tor.exe_

    12 күн бұрын

    PLEEEASEEEE link the video with commentators!!

  • @blackpenredpen
    @blackpenredpen3 ай бұрын

    38:56 "It is hard, it is hard!" 😄

  • @Maths_3.1415

    @Maths_3.1415

    3 ай бұрын

    56:01 😂

  • @mrbeast3021

    @mrbeast3021

    3 ай бұрын

    I know you

  • @vertechua

    @vertechua

    3 ай бұрын

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

  • @JungKookOfficiaI

    @JungKookOfficiaI

    3 ай бұрын

    omg you are here too

  • @Twi_543

    @Twi_543

    3 ай бұрын

    Bprp

  • @mrswaggypants14
    @mrswaggypants143 ай бұрын

    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

    @shivanshnigam4015

    3 ай бұрын

    Copied 😂

  • @bobabola2206

    @bobabola2206

    3 ай бұрын

    dont bruise ur throat too hard

  • @al-hassan9200

    @al-hassan9200

    3 ай бұрын

    Glazing for these pupils is BEYOND WILD 😢😂

  • @NotKululu

    @NotKululu

    3 ай бұрын

    U trying so hard to get in bruh

  • @mrswaggypants14

    @mrswaggypants14

    3 ай бұрын

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

  • @Physicular
    @Physicular3 ай бұрын

    3 2 1 İntegrate! I love this starting.

  • @GrimmyPigeon
    @GrimmyPigeon3 ай бұрын

    Loving this. Please continue this every year

  • @JamesJoyceJazz
    @JamesJoyceJazz3 ай бұрын

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

  • @JamesJoyceJazz

    @JamesJoyceJazz

    3 ай бұрын

    like the MIT 2006 integration bee

  • @flashyred9125

    @flashyred9125

    3 ай бұрын

    They need to focus abeg

  • @simonhaines7301

    @simonhaines7301

    3 ай бұрын

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

  • @mrswaggypants14

    @mrswaggypants14

    3 ай бұрын

    sLaP

  • @mrswaggypants14
    @mrswaggypants143 ай бұрын

    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

    @rwingssss

    3 ай бұрын

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

  • @mrswaggypants14

    @mrswaggypants14

    3 ай бұрын

    ​@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

    @aa6eheia156

    3 ай бұрын

    Chirag Falor

  • @scienceium5233

    @scienceium5233

    3 ай бұрын

    is pranjal srivastav also in mit intregation bee ?

  • @mrswaggypants14

    @mrswaggypants14

    3 ай бұрын

    @@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
    @DonOpto3272 ай бұрын

    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!

  • @TrickyD8P
    @TrickyD8P3 ай бұрын

    We're so back

  • @xinpingdonohoe3978
    @xinpingdonohoe39783 ай бұрын

    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

    @a.b3203

    3 ай бұрын

    Did you do it all while being timed though?

  • @xinpingdonohoe3978

    @xinpingdonohoe3978

    3 ай бұрын

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

  • @isobaric

    @isobaric

    2 ай бұрын

    You're wild also bro

  • @inevitable1222

    @inevitable1222

    2 ай бұрын

    bro you got that beast!

  • @xinpingdonohoe3978

    @xinpingdonohoe3978

    2 ай бұрын

    @@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
    @profenk3 ай бұрын

    I saw this live last month it was so cool

  • @MartinAguirre-314
    @MartinAguirre-3142 ай бұрын

    Thank you for the recap, your assumptions were correct

  • @akawmv
    @akawmv2 ай бұрын

    i genuinely love this

  • @SumedhBorkar
    @SumedhBorkar2 ай бұрын

    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!

  • @SimicChameleon
    @SimicChameleon3 ай бұрын

    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.

  • @Zephei
    @Zephei3 ай бұрын

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

  • @Hmath
    @Hmath3 ай бұрын

    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

  • @mrrobot3950
    @mrrobot39503 ай бұрын

    it’s new competition. so interesting and exciting

  • @FriggnH8ters
    @FriggnH8ters3 ай бұрын

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

  • @yna418

    @yna418

    3 ай бұрын

    real

  • @lemonlime-brawlstars3676

    @lemonlime-brawlstars3676

    3 ай бұрын

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

  • @geo9788

    @geo9788

    3 ай бұрын

    lmao same

  • @Potato-so6zr

    @Potato-so6zr

    3 ай бұрын

    Same but I’m currently learning them now

  • @SHUJA-UD-DEEN

    @SHUJA-UD-DEEN

    2 ай бұрын

    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
    @spectooor3 ай бұрын

    Please continue.

  • @user-wp3bh3qe9j
    @user-wp3bh3qe9j3 ай бұрын

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

  • @JohnSmith-cg3cv
    @JohnSmith-cg3cv3 ай бұрын

    Luke Robitaille 😢 Never forget

  • @davidobese744
    @davidobese744Ай бұрын

    Its really interesting to watch

  • @VimalkumarChawda
    @VimalkumarChawda2 ай бұрын

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

  • @andrewnguyen736
    @andrewnguyen7363 ай бұрын

    you guys are great mathematicians!

  • @ihtakstro
    @ihtakstro3 ай бұрын

    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.

  • @aditya1602
    @aditya16023 ай бұрын

    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

    @arandomfish9630

    3 ай бұрын

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

  • @armansrivastava1055

    @armansrivastava1055

    3 ай бұрын

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

  • @user-mn4yg7kl5i

    @user-mn4yg7kl5i

    3 ай бұрын

    there is no energy in the room lol

  • @strikercool911

    @strikercool911

    27 күн бұрын

    @@armansrivastava1055 integrate that by parts

  • @salamm8910
    @salamm89103 ай бұрын

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

  • @holyshit922
    @holyshit9223 ай бұрын

    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

  • @SouravSundarPanda
    @SouravSundarPanda3 ай бұрын

    3,2,1 integrate Me:Yes

  • @RogueRunna

    @RogueRunna

    3 ай бұрын

    😤🤌

  • @HarshVardhan-wf5lu
    @HarshVardhan-wf5lu2 ай бұрын

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

  • @souvikdas
    @souvikdas3 ай бұрын

    YOU NEED A COMMENTATOR FOR THIS.

  • @joaquingomez9226
    @joaquingomez92263 ай бұрын

    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

  • @thesecondderivative8967
    @thesecondderivative89673 ай бұрын

    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

    @xygomorphic44

    3 ай бұрын

    Did you ever get in?

  • @FlairTech

    @FlairTech

    3 ай бұрын

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

  • @thesecondderivative8967

    @thesecondderivative8967

    3 ай бұрын

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

  • @a.b3203

    @a.b3203

    3 ай бұрын

    @@thesecondderivative8967good luck.

  • @jak_19

    @jak_19

    15 күн бұрын

    Did you get in?

  • @zachplaysallday-zpad5731
    @zachplaysallday-zpad57313 ай бұрын

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

  • @blank12312

    @blank12312

    3 ай бұрын

    I literally said out loud NO

  • @geneyoung11111
    @geneyoung111113 ай бұрын

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

  • @Haxislive766
    @Haxislive766Ай бұрын

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

  • @johndavidabe624
    @johndavidabe6243 ай бұрын

    one day I'll be there competing in this

  • @thesuperstomper4776
    @thesuperstomper47763 ай бұрын

    These are great

  • @JujutsuMath
    @JujutsuMath3 ай бұрын

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

  • @JujutsuMath

    @JujutsuMath

    3 ай бұрын

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

  • @michaeltherandomperson9652

    @michaeltherandomperson9652

    3 ай бұрын

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

  • @ahsonkusare2352

    @ahsonkusare2352

    3 ай бұрын

    @@JujutsuMathyes please

  • @KDYinYouTube

    @KDYinYouTube

    3 ай бұрын

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

  • @JujutsuMath

    @JujutsuMath

    3 ай бұрын

    lets go bro thats sick@@KDYinKZread

  • @blam1228
    @blam12283 ай бұрын

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

  • @brandont4355
    @brandont43553 ай бұрын

    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

  • @dontwannabefound
    @dontwannabefound3 ай бұрын

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

  • @robleytrades
    @robleytrades3 ай бұрын

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

  • @Potato-so6zr

    @Potato-so6zr

    3 ай бұрын

    Need to take Calc BC

  • @easyfundbles2608
    @easyfundbles26083 ай бұрын

    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😂😂😂

  • @debadityasaha1684
    @debadityasaha16843 ай бұрын

    No square root by parts , ?

  • @ssatyam1
    @ssatyam12 ай бұрын

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

  • @Science-bp5pg
    @Science-bp5pgАй бұрын

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

  • @9os638
    @9os6383 ай бұрын

    Here before this blows up

  • @wanderingpalace
    @wanderingpalace24 күн бұрын

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

  • @taoufikelafya3081
    @taoufikelafya30812 ай бұрын

    I would like to see how to solve the first one

  • @jakubstawarczyk
    @jakubstawarczyk3 ай бұрын

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

  • @j2i2t2u2
    @j2i2t2u23 ай бұрын

    Twitch stream with commentators next year pls!

  • @Arthur-hg7ny
    @Arthur-hg7ny3 ай бұрын

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

  • @mohammadabdulla8601
    @mohammadabdulla86013 ай бұрын

    Engineering is the Ellison of science

  • @maxz8807
    @maxz88073 ай бұрын

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

  • @AlonsoRules
    @AlonsoRules3 ай бұрын

    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.

  • @judeann
    @judeann3 ай бұрын

    GO BRIAN!!

  • @JessicaJenkins-pw9ox
    @JessicaJenkins-pw9ox2 ай бұрын

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

  • @BPGHchess
    @BPGHchess3 ай бұрын

    +C

  • @clickoppotamus
    @clickoppotamus3 ай бұрын

    simultaneously sad and glad all my college math skills are gone

  • @sumasaha7542
    @sumasaha754214 күн бұрын

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

  • @HenryBriskin
    @HenryBriskin3 ай бұрын

    Harder calculus problems than l used to solve

  • @frickingcore1o_
    @frickingcore1o_20 күн бұрын

    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

  • @kaonesegwai8437
    @kaonesegwai8437Ай бұрын

    This is where I belong❤

  • @hugoaraujo3
    @hugoaraujo318 күн бұрын

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

  • @zhixin1101
    @zhixin110112 күн бұрын

    What is the name of the timing software?

  • @Rithida.Math2024
    @Rithida.Math20242 ай бұрын

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

  • @Harbingersknight21

    @Harbingersknight21

    2 ай бұрын

    Take x²+1=t

  • @Rithida.Math2024

    @Rithida.Math2024

    2 ай бұрын

    Do my exercises, please.

  • @Harbingersknight21

    @Harbingersknight21

    2 ай бұрын

    @@Rithida.Math2024 use substitution

  • @brijeshsrivastava6682
    @brijeshsrivastava66823 ай бұрын

    And even this year one of the top universities of the world cant develop a program to change the page and start the timer simultaneously! 🤦‍♂

  • @angelnicolev.iniego4253
    @angelnicolev.iniego42532 ай бұрын

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

  • @flavaTF2
    @flavaTF22 ай бұрын

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

  • @aagamanpokhrel4113
    @aagamanpokhrel41133 ай бұрын

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

  • @Notsosarcastic_02

    @Notsosarcastic_02

    3 ай бұрын

    Those are the teachers i guess

  • @omaki82036
    @omaki820363 ай бұрын

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

  • @prodwb
    @prodwb2 ай бұрын

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

  • @albertini552
    @albertini5523 ай бұрын

    The one who Wins, gets the cheerleader

  • @puzzlegamer7625
    @puzzlegamer76253 ай бұрын

    Watching directly final

  • @vanoelizbarashvili6655
    @vanoelizbarashvili66553 ай бұрын

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

  • @mayukhkotal6661
    @mayukhkotal6661Ай бұрын

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

  • @_yourfavmexican
    @_yourfavmexican3 ай бұрын

    Bring commentators back!!

  • @CaptainFantastic222
    @CaptainFantastic2223 ай бұрын

    Currently experiencing college PTSD flashbacks from Calc 2

  • @kummer45
    @kummer453 ай бұрын

    The wars that we should be fighting…

  • @nodistraction5857
    @nodistraction5857Ай бұрын

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

  • @crazo6424
    @crazo64243 ай бұрын

    Hey Evan Tanko !

  • @droxxzy
    @droxxzy3 ай бұрын

    any one noticed AIR 1 Chirag Falor was in Semi Finals

  • @tirtheshjadhav1898

    @tirtheshjadhav1898

    3 ай бұрын

    Can ya provide me the link

  • @carnagefreefire

    @carnagefreefire

    2 ай бұрын

    Yeah i know, he should be because he has solved these questions before

  • @AdrianCHOY
    @AdrianCHOY2 ай бұрын

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

  • @sandorszabo2470
    @sandorszabo24702 ай бұрын

    Not five minutes, 04:57 only.

  • @jadeblades
    @jadeblades3 ай бұрын

    how do people even go about learning to be able to integrate things on this level?

  • @Potato-so6zr

    @Potato-so6zr

    3 ай бұрын

    I think they talk to their professors and ask them questions about this stuff. They can also be math majors and they learn this in their classes.

  • @jadeblades

    @jadeblades

    3 ай бұрын

    @@Potato-so6zr thanks for the response! im gonna be a freshman in college this year and they do an integration bee so i wanted to start preparing

  • @MonkeyDLuffy-dx6ow

    @MonkeyDLuffy-dx6ow

    2 ай бұрын

    They are IMO gold medalists for starters

  • @criticgamerz6382
    @criticgamerz638215 күн бұрын

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

  • @user-xj4ub2xf4n
    @user-xj4ub2xf4n3 ай бұрын

    非常好比赛!使我心潮澎湃😮😮

  • @LightYagami-ei1ko
    @LightYagami-ei1ko29 күн бұрын

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

  • @aniruddhajoshi1666
    @aniruddhajoshi1666Ай бұрын

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

  • @ambarsinha9590
    @ambarsinha959017 күн бұрын

    Chirag Falor JEE ADV AIR 1

  • @ananyagupta4599
    @ananyagupta45993 ай бұрын

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

  • @tirtheshjadhav1898

    @tirtheshjadhav1898

    3 ай бұрын

    Yeah

  • @JungKookOfficiaI
    @JungKookOfficiaI3 ай бұрын

    crazy

  • @ghuk3
    @ghuk32 ай бұрын

    yes i can do ALL of this in my sleep with both of my eyes open and years of study and my death

  • @jeromepgeorge
    @jeromepgeorge2 ай бұрын

    If you play the video in reverse it becomes Differentiation bee

  • @matty7846
    @matty7846Ай бұрын

    The equations are pretty easy