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
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
3 ай бұрын
That would genuinely be entertaining
@Metros23
3 ай бұрын
They used to that for these events.
@thesecondderivative8967
3 ай бұрын
They used to do that. Wonder why they stopped. 🥲
@reliocs
3 ай бұрын
Commentator is a no cause it'll make them hard to focus
@flashyred9125
3 ай бұрын
They need to focus dude
If I watch it in reverse, it will be a differentiation competition 😂
@mrswaggypants14
3 ай бұрын
copied comment from last years' finals video lol
@Curious-on7ei
3 ай бұрын
dog
@wardog697
3 ай бұрын
very funny original joke
@vineethvenugopal8613
3 ай бұрын
😂😂
@thomaslacroix7405
3 ай бұрын
Bruh 😂😂😂😂
“I don't integrate the question, l differentiate the options” ~Ме
@forgewhelbon1131
3 ай бұрын
Based and multiplechoice pilled
@karanchoudhary5320
2 ай бұрын
Do it in definite integrals 😂😂😂
@mrhashtag9775
15 күн бұрын
Moye moye 💀@@karanchoudhary5320
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
2 ай бұрын
is there a link for the one with commentators?
@tor.exe_
12 күн бұрын
PLEEEASEEEE link the video with commentators!!
38:56 "It is hard, it is hard!" 😄
@Maths_3.1415
3 ай бұрын
56:01 😂
@mrbeast3021
3 ай бұрын
I know you
@vertechua
3 ай бұрын
Hard...I couldn't even muster the courage to put up my pen for this 😂
@JungKookOfficiaI
3 ай бұрын
omg you are here too
@Twi_543
3 ай бұрын
Bprp
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
3 ай бұрын
Copied 😂
@bobabola2206
3 ай бұрын
dont bruise ur throat too hard
@al-hassan9200
3 ай бұрын
Glazing for these pupils is BEYOND WILD 😢😂
@NotKululu
3 ай бұрын
U trying so hard to get in bruh
@mrswaggypants14
3 ай бұрын
@@bobabola2206 alright bro calm down, its not that serious
3 2 1 İntegrate! I love this starting.
Loving this. Please continue this every year
commentary would make this slap, even if just for finals?
@JamesJoyceJazz
3 ай бұрын
like the MIT 2006 integration bee
@flashyred9125
3 ай бұрын
They need to focus abeg
@simonhaines7301
3 ай бұрын
@@flashyred9125obviously the commentary is just for the 1.6 million people watching the video
@mrswaggypants14
3 ай бұрын
sLaP
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
3 ай бұрын
wow, you know so much! how do you know these?
@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
3 ай бұрын
Chirag Falor
@scienceium5233
3 ай бұрын
is pranjal srivastav also in mit intregation bee ?
@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
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!
We're so back
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
3 ай бұрын
Did you do it all while being timed though?
@xinpingdonohoe3978
3 ай бұрын
@@a.b3203 yes, otherwise I might have (or might not have) got more.
@isobaric
2 ай бұрын
You're wild also bro
@inevitable1222
2 ай бұрын
bro you got that beast!
@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.
I saw this live last month it was so cool
Thank you for the recap, your assumptions were correct
i genuinely love this
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!
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.
Problem 5 is really interesting. I would not have thought that you could disguise a combinatorics problem as an integral in that way.
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
it’s new competition. so interesting and exciting
My toxic trait is thinking that I can beat these students after just learning the calc 2 integration techniques a few days ago 🤣🤣🤣
@yna418
3 ай бұрын
real
@lemonlime-brawlstars3676
3 ай бұрын
learning this is ap rn and thinking I can do them too
@geo9788
3 ай бұрын
lmao same
@Potato-so6zr
3 ай бұрын
Same but I’m currently learning them now
@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
Please continue.
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
Luke Robitaille 😢 Never forget
Its really interesting to watch
second is 1/2. logx/x is 1 so take 2 outside as common. done.
you guys are great mathematicians!
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.
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
3 ай бұрын
Where should the parameter be placed ?? I can't do it
@armansrivastava1055
3 ай бұрын
i got 2lnx/(x^2-1) now what to do
@user-mn4yg7kl5i
3 ай бұрын
there is no energy in the room lol
@strikercool911
27 күн бұрын
@@armansrivastava1055 integrate that by parts
damn luke didnt make it to finals. still see him having a fun time in the audience :)
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
3,2,1 integrate Me:Yes
@RogueRunna
3 ай бұрын
😤🤌
happy to see that chirag falor bhaiya got upto. the 2nd level
YOU NEED A COMMENTATOR FOR THIS.
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
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
3 ай бұрын
Did you ever get in?
@FlairTech
3 ай бұрын
@@xygomorphic44 how old do you think this comment is lmfao
@thesecondderivative8967
3 ай бұрын
@@xygomorphic44 I wouldn't know yet. I just made this comment 2 days ago after all.
@a.b3203
3 ай бұрын
@@thesecondderivative8967good luck.
@jak_19
15 күн бұрын
Did you get in?
13:42 seeing him miss by just 2 on the denominator caused me physical pain
@blank12312
3 ай бұрын
I literally said out loud NO
participants don’t allow to use Algebraic Regularization on 1/x^n term? 😢
Omg I am done with problem 1 😤😤 1. Denominator sin(x+53°) 2.x+53°=t By parts integrate
one day I'll be there competing in this
These are great
proud of myself i solved the last integration question in 5 secs
@JujutsuMath
3 ай бұрын
@Muita-Informacao i can make a vid on my yt explaining how to solve integrals easily if you want ?
@michaeltherandomperson9652
3 ай бұрын
I am glad I did it in 20 seconds lol. Barely remember the trigonometry formulas.
@ahsonkusare2352
3 ай бұрын
@@JujutsuMathyes please
@KDYinYouTube
3 ай бұрын
I am better than you, I solved the last question when they showed the first question.
@JujutsuMath
3 ай бұрын
lets go bro thats sick@@KDYinKZread
50:32 "do you guys want a break?" Both competitors: 🤷♂
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
I fucking love this- Asian host dude is awesome- yes get some commentators who are experts to provide play by play -
Can I join this tournament if I've only taken AP calculus AB?
@Potato-so6zr
3 ай бұрын
Need to take Calc BC
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😂😂😂
No square root by parts , ?
Really bro !!!! Did u guys just click for going to next page in pdf !!!! @MIT
it would be better if the timer was shown all the time, while they're solving, it adds to the suspense of the video
Here before this blows up
3,2,1,integrate is the most funniest line i have ever heard
I would like to see how to solve the first one
"You are off by a constant factor" after 2nd .. made me laugh so hard 😂😂😂😂😂
Twitch stream with commentators next year pls!
Anyone else fast forward though the work to see if their answers are correct 😂
Engineering is the Ellison of science
Well done Brian, I rooted for the wrong person with the letter b i guess 😂😂
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.
GO BRIAN!!
1:07:36 Bro is shaking, hope he is alright.
+C
simultaneously sad and glad all my college math skills are gone
I had solved the integral of try-breaker problem no 1. But it took about 40 minutes to solve the math. 😂
Harder calculus problems than l used to solve
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
This is where I belong❤
The close answer in problem 4... If only -1/3 were positive!
What is the name of the timing software?
Compute the Integral x^2024/(x^2+1)^2023 dx
@Harbingersknight21
2 ай бұрын
Take x²+1=t
@Rithida.Math2024
2 ай бұрын
Do my exercises, please.
@Harbingersknight21
2 ай бұрын
@@Rithida.Math2024 use substitution
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! 🤦♂
2:19 I thought the guy in black without the bucket hat is the other competitor
Need a gaming announcer over this it’d be the most entertaining competition 😂
xD the real winners are probably the one's who set those questions
@Notsosarcastic_02
3 ай бұрын
Those are the teachers i guess
*53:49* Bro's remembering the days of y = mx + b ☠☠😭😭
"The test's gonna be easy, its your first mock :)" the test:
The one who Wins, gets the cheerleader
Watching directly final
29:29 no way bros minioni gonia tavi ALLATI AR XAR
bro chirag falor(iitjee rank1 2020) was on semi final #1 with Brian Liu ....
Bring commentators back!!
Currently experiencing college PTSD flashbacks from Calc 2
The wars that we should be fighting…
Tell me after graduating from college they get salaries for solving questions instead of doing coding in IT companies
Hey Evan Tanko !
any one noticed AIR 1 Chirag Falor was in Semi Finals
@tirtheshjadhav1898
3 ай бұрын
Can ya provide me the link
@carnagefreefire
2 ай бұрын
Yeah i know, he should be because he has solved these questions before
Haha … integration bee … • can u use it in equation? • I would like to phone a friend
Not five minutes, 04:57 only.
how do people even go about learning to be able to integrate things on this level?
@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
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
2 ай бұрын
They are IMO gold medalists for starters
Which one is Brian ( that purple hat one ) ??😅
非常好比赛!使我心潮澎湃😮😮
Almost feels like the world where I wanna be but will never make it like an really far fetched reality
Rank Number 3 Chirag Falor - JEE ADVANCE AIR 1 2020❤❤❤🇮🇳🇮🇳🇮🇳
Chirag Falor JEE ADV AIR 1
Wanted to see chirag 😢 but these people are so insanely talented holy shit
@tirtheshjadhav1898
3 ай бұрын
Yeah
crazy
yes i can do ALL of this in my sleep with both of my eyes open and years of study and my death
If you play the video in reverse it becomes Differentiation bee
The equations are pretty easy