If we play this backwards it can be the differentiation contest

@harryallen5392

Жыл бұрын

was not supposed to laugh this hard, thanks man

@kshiteeshbijjula8000

Жыл бұрын

Nice one

@yashchaturvedi864

Жыл бұрын

wow. this is genius! good one!

@Mymellowsouvlaki

Жыл бұрын

Genius! Lol

@Lakshyarajkalra

Жыл бұрын

Good one hahah!

Best part of this is that nobody at MIT could make a program where the dude just presses a button to both start the timer and show the problem.

@sovietcitrus

Жыл бұрын

the integral on the screen is only for the audience, the competitors have individual cards that they look at

@mitchellsteindler

Жыл бұрын

@@sovietcitrus yeah I learned that at the end...

@mitchellsteindler

Жыл бұрын

@e doesn't make it okay...someone in the audience could have been communicating with a contestant through a wifi connected butt plug. Duh!

@ian-hm6cx

Жыл бұрын

@@mitchellsteindler ahh yes, the hans neimann method

@nathanhammond523

Жыл бұрын

Literally put together a google slides with timer in 5 minutes. There was even a chrome extension already made.

I have a degree in physics, a degree in Mechanical Engineering and I’m older than dirt. But I have to say, the phrase “3, 2, 1 integrate” is one of the funniest things I have ever heard. It makes me laugh every time I think of it.

@TONI__KROOS

Жыл бұрын

how old are you

@iowa_don

Жыл бұрын

@@TONI__KROOS Older than dirt, past 70

@maxgeorge1463

Жыл бұрын

How difficult is it to attain a degrees (minimum a masters) in physics? How has your experience in the field of physics been? I am considering a degree in physics on a path to medical physics.

@rashed831

Жыл бұрын

😂😂😂

@shaleenparikh2750

Жыл бұрын

😅

Imagine the commentary: Its a good trick by Joe who looks to convert like into trigonometric form , while John makes excellent use of complex numbers to simplify the terms , it seems as if Joe has the upper hand here , but john now elegantly applies feynman's trick and gets the answer, what a twist in the tale

@Mr.Divorce

Жыл бұрын

Definitely performing the integration using complex analysis

@april-rf3pq

Жыл бұрын

what a twist!

@ASCENTxyz

Жыл бұрын

I would watch it

@BilalAhmed-wo6fe

10 ай бұрын

😂😂

@edwinjoy9

10 ай бұрын

The commentator would have to be at least as talented as the person who's solving haha

Seeing that guy on the left do the partial fractions by just looking at it for 3 seconds then writing the answer has to be the most impressive thing I've ever seen

@_Longwinded

Жыл бұрын

Watching him winning other tournaments on YT and you’ll be even more surprised. :)

@FishSticker

Жыл бұрын

@@_Longwindedhis name?

@oscarzhu3470

Жыл бұрын

@@FishSticker Luke robataille I think? edit: oh wait sorry that was the guy int he right

@lordkorvo_2089

Жыл бұрын

@@FishSticker maxim li

@Marco-sm9bu

Жыл бұрын

time stamp?

probably the first time I saw an integral being solved in arabic

@vickensemerdjian

Жыл бұрын

It's okay this is the first time I saw an integral being solved at all.

@naders.

Жыл бұрын

U look so unfamiliar!😂

@Indian_Polar_bear

Жыл бұрын

😂😂

@yourfriendlyneighborhoodqu3859

Жыл бұрын

technically they all are because we use arabic numerals

@themesera3527

Жыл бұрын

wait which one

MIT almost seems like a parallel reality. A world where anti-differentiation is a sport and people film it on their phones is a world I desire to be a part of :)

@lunam7249

Жыл бұрын

cal tech is better.....where the 7yo high school graduates go

@happytravelling

Жыл бұрын

@@lunam7249 The mascot of MIT is the Beaver - the Engineer of the animal world!

@lunam7249

Жыл бұрын

@@happytravelling GOOOOOOOO BEAVERS!! !!!!!

@Elausis

11 ай бұрын

¡Ponte a estudiar!

@bilkishchowdhury8318

10 ай бұрын

The parallel reality is in my cranium

its so interesting to see the difference in the way they work the problems

@shoaibakram5973

8 ай бұрын

nothing like that ..... the problems they presented can be solved by b tech students india with no difficulties

@leandre1523

8 ай бұрын

nope @@shoaibakram5973

@ryanhi6199

8 ай бұрын

@@shoaibakram5973 NAH. I didn't see any indians in that room

@zirtzi

8 ай бұрын

@@shoaibakram5973there might be Indians who can solve them, but to be it in 4 mins is insane.

@indiancyberteam

8 ай бұрын

​@@shoaibakram5973you're wrong about that

Hah! This is too EZ! I can also solve this problem in 4 hours just like they did. I'm glad they sped up the video though.

@IwasabletoDisappearafterlitsen

Жыл бұрын

😂

@samarthshukla9869

Жыл бұрын

You guys can solve this?

@IwasabletoDisappearafterlitsen

Жыл бұрын

@@samarthshukla9869 you even know how to draw that Snake thingy before Numbers and Alphabets?

@samarthshukla9869

Жыл бұрын

@@IwasabletoDisappearafterlitsen heh nice one

@rangerworld8446

Жыл бұрын

@@IwasabletoDisappearafterlitsen Integral lmao not that hard tbh

I never thought I'd be watching an Integration competition but here we are

Although I’m just a high school student, but I’m still trying to understand what are they doing. I found a quit intriguing part: The guy in the left he is using the blackboard as his eraser paper, writing down all the process and calculate. The guy in the right is different, he calculate the operation by mind and he use the blackboard as an extended-memory cache, to write down the process just for not forget and loss them, like a redstone repeater, which I found it was impressive for me.

@mujtabaalam5907

Жыл бұрын

It's the most efficient, writing is slow compared to thinking. That's what you'd expect from a four-time IMO gold medalist

@harsh_will_iit

10 ай бұрын

​@@mujtabaalam5907WTF damnnn, and here i am unable to clear the nationals

@vedanth_2609

6 ай бұрын

if this is coming from what I assume is an IITian which means a JEE Advanced cleared candidate with less than 16k rank atleast, I cannot assume how smart or hardworking you have to be to reach Luke's level!@@harsh_will_iit

This sport should have commentators. If there's one sport that needs them!

@zachsheffert5811

Жыл бұрын

There are commentators for the like 2012 one or something. Also on yt

@jamescollier3

Жыл бұрын

"Does Dan have no clue? Is he bluffing and scrawling?"

@paarasshemrudkar1025

Жыл бұрын

It would be irritating

@Paul-fu2xv

Жыл бұрын

They'd have to have a degree in mathematics to comment 😅

@psikoexe

Жыл бұрын

I think that would distract the participants... math is a game of critical thinking and focus. If its added separately they must make sure it gives various possible solutions and some intellectual input instead of some crazy clown shit. I liked it as it is tho.

This seems like something I would have had a nightmare about during high school and woken up in a cold sweat. It's been over six years and I still have flashbacks to AP calculus.

@simunator

Жыл бұрын

christ, ab and bc are child's play compared to calc 3 and advanced calc.

Luke I’ve been following him from his primary grades and always saying he’s the next big thing in maths One of the finest brain always winning now in college wow Congratulations! Inspiration his YT channel is also worth visiting

@HSA-

Жыл бұрын

@@shashwatdubey5416 will not be revealed since that's part of creating the suspense around him. You will have to search YT and see if it really exists or not

@_Longwinded

Жыл бұрын

@lukerobitaille3404 with ~2k followers

@JoshT13

Жыл бұрын

ayo thats creepy af

@YoutubeDeletedMyLastNick

Жыл бұрын

You made that sound weird unless you know him in person

@deuce2293

Жыл бұрын

@@JoshT13 It's not that creepy because he's literally everywhere. You see him somewhere in basically every video related to olympiad/competitive maths.

I actually tried solving some of these and was able to solve a few (but none from the finals though, and none in the stipulated time period). Glad I've still got a bit of integration in me! :)

@maxvangulik1988

Жыл бұрын

I thought i had #5 but the geometric sum thing might be from 0 to infinity so maybe a 1 was subtracted?

@maxvangulik1988

Жыл бұрын

Wait that would give 4/3 how tf

@maxvangulik1988

Жыл бұрын

I would like the fact-checkers to show their work.

@w.i.l.dyoutube4166

Жыл бұрын

@@maxvangulik1988 The reason its not 4/3 is because each term has the floor function

@maxvangulik1988

Жыл бұрын

@@w.i.l.dyoutube4166 at the time i didn’t realize that floor of (2^n)x where x is between 0 and 1 isn’t just 0

Well so far I'm drawing with them after the second integral.

@u.v.s.5583

Жыл бұрын

I could hold up with both of them until the last one, where Luke slightly beat me, but losing 0:1 after 5 rounds is fine in such super elite level.

@rameneater5620

Жыл бұрын

@@u.v.s.5583 be sooooooo fr

I’m so happy the integration bee is still going on. Playing along is very relaxing

Insane. I suck in math. watching these guys solving a super hard integral in less than 4min (even if they got a wrong answer) is ridiculous.

@randomacc77777

7 ай бұрын

@@Snakesake2099lol. I did many Jee advanced problems but they’re never even CLOSE to MIT entrance exams or even these so called ‘avg high school’ questions.

@frostackerman

6 ай бұрын

@@randomacc77777bruv the bees stung Chelsea. Good job there

@whereswaldo1376

6 ай бұрын

@@Snakesake2099 Sure bro... Keep trying to be patriotic about your 3rd world country bud

@randomacc77777

4 ай бұрын

@@Snakesake2099 u aren’t fooling anyone. I’m Indian and I used to live in india before and I’ve been through the system. You’re blatantly lying lmao

@PRATEETSANTRA

Ай бұрын

Yeah got into iit Bombay now in second year I can easily do this

Omg luuuuke was in the math olympics competition too. He is a grown college kid now. So proud

@pegenwaukegan4792

Жыл бұрын

Blessed be God’s Holy Name forever!

@preetamchatterjee1723

Жыл бұрын

4 times gold medalist!

These guys are truly integrated lords!!!. Gives new meaning to the phrase "Show your working".

26:20 luke has the answer correct *agressive handshake*

@jin_cotl

3 ай бұрын

They were nervous 😂

Integral Calculus is a Power House of Methods and Techniques.

@r.f2173

Жыл бұрын

like your mom

I have an A in calculus 2 with my final a week from today and this completely humbled me

managed to solve some of these but none in the time limit they had, these people are incredible

Congrats Luke, both very smart people.

@jimmelton

Жыл бұрын

@John They have to have some sort of great intelligence to get this far into the integration bee, don't see why there was any need for this comment lmao.

@chikenwingsteve

Жыл бұрын

@John Understanding that these guys are judged to be smart enough to compete during an intergration bee is indeed very short sighted, but yet you were too blind to see that...

@mkay7359

Жыл бұрын

@John luke is a 4 time gold medalist in international math olympiad...

@laKennyr

Жыл бұрын

@John don't think u have any idea how hard it is to even be an audience in that place

@attran720f

Жыл бұрын

​@@laKennyr Everything is hard for those who not understand it

I watched Luke win another competition last night(an old one, while he was in middle school or so) and I saw this again tonight. Pretty impressive

Gives new meaning to the phrase "Show your working"🙂

@railx2005

Жыл бұрын

Them: shows work in arabic

26:23 top tier sportsmanlike handshake

26:25 that handshake was personal 😂

Damn 4 minutes is what i spend writing down the problem lmao, congrats Luke :)

@epicm999

Жыл бұрын

2-D??? What're you doing here???

@ArifSolvesIt

Жыл бұрын

to me too. I don't know how they do it. I could solve the first one in 20 minutes :-) :-) kzread.info/dash/bejne/qYN2yMGGorS8ftI.html

Love the enthusiasm in the handshake at the end!

It's really cathartic having finished undergrad and knowing I'll never have to actually solve calc problems like these again

You two have my respect. 🎉

Begs commentary / analysis during / after the competition. Remarks from the competitors would be great, also.

@r.f2173

Жыл бұрын

they're both obviously pretty neurotic, I think the last thing they want is a one-on-one interview lol

@genovayork2468

2 ай бұрын

​@@r.f2173 They aren't "obviously neurotic" lmao, from where do you get these?

“Oh the whole thing is squared?” Is absolutely so real.

Wow!!!! Great job Luke!!! and a valiant effort for Maxim as well!!!! Bravo guys!!!!👏👏👌👍👍

It is very interesting to see their excitement. Good job guys and Congrats Luke!

Damn, Tom scott here grinding those integrals is not what I expected here

26:24 best handshake of all time lmao

dang luke still out here winning math competitions

MIT integration bee 2023. Nice how it rhymes.

@NavChetna0

Жыл бұрын

i got it ahh!

@HariChera

3 ай бұрын

It will continue rhyming every ten years now

The left guy was drawing very beautiful fences.

It’s so interesting to see their contrasting methods and handwriting

The answer of Q.4 should be 5 * 10^18 * ln(1001/999) ,which is equal to the answer written in decimal. Luke get almost right answer but he got ln(1003/1001) which is the only part wrong in the answer. The arbiter said there is no 5, but there is. We can't solve log on the board with time limit.

The handshake after the last problem 😄

Good to see Luke winning the bee, following since the mathcounts days

These guys are truly integrated lords!!!

been waiting for this!

Luke's integration methods are intriguing, he integrates in weird approaches compared to conventional ones like the guy in blue shirt did

@capbanana3851

7 ай бұрын

Luke tends to find the patterns, shortcuts, symmetries etc in a problem whereas Maxim uses more standard methods and sort of brute forces it

mit is such a cool place! Kinda wish I applied there but I probably wouldn’t have gotten in 😭

Beautiful competition

16:55 oops

10:18 OH THE WHOLE THING IS SQUARED lmfao😂😂😂😂😂😂

The last one was rather difficult until you realise that it's a infinite series with base 3/2 and x just goes out

That's a nice way of training young minds

most of the time if you want to solve definite integral use king property because that always gets you somewhere

Tom Scott doing Integrals is something I didn't expect.

Somehow my YT algorithm brought me here. Im not good at maths but it was awesome to watch!

First problem need to factor out a cos(x) Third problem you need to use the concept of odd/even function

Luke Robataille was an impressive 2 time winner for Mathcounts some years ago

I'm surprised by the fact no one in the video or even in the comment section realised that, in 21:16 , they both got the answers correct! coz if you simplify their answers, you'll get the same answer as that given by the MIT. It's a shame to judge the answers as wrong just because they were not written exactly same or it should not be 'a multiple of 5'. Integral answers often exist in many forms. They both should have gotten a point for that.

@jiannanjiang8608

6 ай бұрын

There is a nontrivial floor operation at the end.

Me who is still trying to centre a

Tenho 15 anos e sei resolver integrais, derivadas e limites. Brasil acima de tudo.

very exciting

The subtle "Fuuuu-" at 17:05 😂 my guy had one job

Honestly, problems are doable and is not super hard. However it's important you finish in time before other person and dont make blunder under time pressure

Being MIT grand integrator of 2023 is a massive flex I'd say

10:19 that laugh after a guy said "whole thing is squared" 😂😂man the vibe of this class..

Not only did Luke win this, he was also a multiple time winner of MATHCOUNTS internationals and many more competitions. He truly is very capable of many things.

@nebula3415

8 ай бұрын

MATHCOUNTS is probably one of the least impressive of his allocates his a 4 time imo gold medal winner

@Phymacss

7 ай бұрын

@@nebula3415he’s a genius

@-.SkyArt.-

6 ай бұрын

@@nebula3415 woah really?

Mfs talkin bout how they kept up with these students, but you already know the moment they walk up to that chalkboard they gonna be 10x slower than anyone in there

Very nice.

Feeling confident ... Thanks for the fun...

Its normal in India to see jee aspirants do these kind of questions in 2mins

@Kovidh-kn8cs

6 күн бұрын

Fyi getting to the finals is not easy. Jee advance topper chiraag falor was disqualified and you expect normal jee aspirants to win.

Why were such questions asked during my Higher secondary school... .My love for maths Faded away, I tried to run away from it but boom bounces back again With economics even though it's just simple calculus

In TENET this would be a differentiation contest

I got the 3rd problem... but the rest of them were super hard. The last one was particularly tricky... I think we have to use the continuity of the function. Hoping someone can help me with the last solution.

@yni3240

7 ай бұрын

The answer is 3

@idrisShiningTimes

4 ай бұрын

I tried to do it via Reimann integration but it's just hard for me But I tried with Lesbesgue integration and it can be done easily with that

I'm not MIT good yet but I'm getting there... hopefully! :)

@DIDIpsyche1

Жыл бұрын

@John haha well alright. if you say so.. I'm just going to enjoy the sun at the beach.

@RegisteredLate123

Жыл бұрын

​@@DIDIpsyche1 w mindset you gonna get there brother

@DIDIpsyche1

Жыл бұрын

@xxdxddddffwfegfg haha I actually am doing ok with the open university mathematics. mit is was just a hype in high school. of course, I am very realistic as open university mathematics and physics bsc is good enough for me.

@DIDIpsyche1

Жыл бұрын

@@RegisteredLate123 lol let me first finish my undergraduate. I meant not to get into MIT but being MIT level of smarts which comes with doing well enough in maths like in my current undergraduate mathematics and physics bsc degree at the open university uk.

@DIDIpsyche1

Жыл бұрын

@John I think I'm over Ivy League in terms of for prestige reasons. I'm better used to the content of the course available at that particular university and I'm happy with open university course description. so I'm good with uni at the moment just thinking about ability variation between various universities. so I am disabled and recovering from a genetic disease and I think that I can some day have exceptional ability so that's what I'm aiming for. right now I have above average performance at second year mathematics and physics bsc.

Funny thing is quizmaster can not intergrate 2 tasks of saying "integrate" and "clicking for next slide" in same time

Incredible men

3,2,1... Integrate The best phrase I have ever heard❤

Fun fact, ~20% of the commentators are just random indians trying to flex

@rpsinghgaur5903

3 ай бұрын

Flexing for a reason

@Flexyshores

3 ай бұрын

I don't know why, they don't try to feel mathematics. They just spam in comment section and consider themselves very intelligent and brilliant.

@Maths_3.1415

17 күн бұрын

​@@Flexyshores Exactly

@Snehin-qr2bl

2 күн бұрын

​@Maths_3.14because you americans aint solving calculus in highschool15

excellent video

Красавчик мужик, тему делаешь

The man , the myth , the legend Luke is back with a banger on youtube

I actually managed to do problem 4 but my answer was not in the form they had it in in the powerpoint thing - i checked it on the calculator lol

@ArifSolvesIt

Жыл бұрын

you can also see the solution to problem 1 here: kzread.info/dash/bejne/qYN2yMGGorS8ftI.html

they are awesome

these questions are a routine part of IIT JEE Advanced Students.

Honestly this doesn't seem too tough to me, I mean I was tied with both of them up until that last question.

@MarcusHCrawford

9 ай бұрын

Lol.

@paulregener7016

8 ай бұрын

Sound like you should join or do something that matches your skill!

@khattakjarir3399

7 ай бұрын

😂

@genovayork2468

2 ай бұрын

​@@khattakjarir3399 They're not at all tough lmao, you just sck at math. I'm in high school and two are easy.

@khattakjarir3399

2 ай бұрын

@@genovayork2468 ?? the original comment was a joke who even are you 😂😂

helped me revise my integration chap for jee adv thanks mit.😄

@aspirantjee2023s

Жыл бұрын

Bro kitne percentile aye first attempt me?

@m.s.dawood6985

Жыл бұрын

@@aspirantjee2023s i got 98..

@omshiva5264

Жыл бұрын

@@aspirantjee2023s 90 nitw me hu yaha se partial drop lera so bas cutoff clear kara for advanced.

@aspirantjee2023s

Жыл бұрын

@@omshiva5264 all the best bro

@aspirantjee2023s

Жыл бұрын

@@m.s.dawood6985 nice, I got 97.7

its hard to believe its given in school exams in turkey and also on the most biggest exam for entering university the time also is 2 minutes for every question

These are some really hard problems. Almost impossible to manage by brute force without knowing some sneaky tricks.

Problem 1 I=int ((tan x)^1/3/(sinx+cosx)^2)dx from 0 to pi/2 I= int ((tan x)^1/3/(cosx(sinx/cosx+1)^2)dx= int ((tanx)^(1/3)dx/(cosx)^2(tanx+1)^2) u=tanx I=int(((u)1/3)/(u+1)^2)du from 0 to infinity u=t^3 du=3t^2dt I=int(t*3t^2/(t^3+1)^2)dt from 0 to infinity, integrate by parts I=-t/(t^3+1)+int dt/(t^3+1) from 0 to infinity, -t/(t^3+1)=0 if t=0 and t=infinity int dt/(t^3+1)=( 1/3)*int dt/(t+1)-(1/3)*int (t-2)/(t^2-t+1)dt=1/3*log(t+1)-(1/6)*log (t^2-t+1)+(1/2)*int dt/(t^2-t+1), 1/3*log (t+1)-(1/6)*log (t^2-t+1)=log ((t^2+2t+1)/(t^2-t+1)^(1/6)=0 if t=0 and t=infinity I=(1/2)*int dt/(t^2-t+1)dt=(1/2)*int dt/((t-1/2)^2+(√3/2)=(1/2)* (2/√3*arctan(2t/√3-1/√3) from 0 to infinity I=1/√3 (pi/2+pi/6) =4/6√3=2√3pi/9

@mehrannazari8288

Жыл бұрын

😎 awesome

@benjamimica1842

Жыл бұрын

most impresive thing is you did the work of writing it in a youtube comment tbh

@timnelson8656

Жыл бұрын

42?

@r.f2173

Жыл бұрын

such a honky no one cares HAHAHAHAHHAHHHAHAHAHA

@cinnamonshake45

Жыл бұрын

no one cares? i see only you here 🤔🤔

When I entered the first question to Symbolab it says "No Steps: Steps are currently not supported for this problem"

@NewWesternFront

11 ай бұрын

yeah ive had that issue if the problem is complex enough

great!!

10:20 'Oh, the whole thing was squared'

I want solution for the first question

love to see the geek convention

Bring back the commentary.. he was awesome.. pay them if required

I was desintegrated while watching these geniuses.

The very first integral looks simple but is so HARD! Simplifying it into a different form (for the denominator) is easy, but trying to integrate it with typical integration techniques is seemingly impossible so that evaluation became a guess... I heard of Luke Robitaille from being an insane mathlete (MATHCOUNTS & IMO); thus, if he couldn't fully solve - who could? Jk

@hbowman108

Жыл бұрын

I got that one pretty quickly but I doubt I would have finished in four minutes. It follows pretty simply from doing the substitution u^3=tan x. It looked like he was overthinking it.

@honestabe_9207

Жыл бұрын

@@hbowman108 yeah I was just joking, but I didn't see how clever the reduction would become: ∫ [0, (π/2] ((3u^3)/(1+u^3)^2)du

@MiguelHD04

Жыл бұрын

@@hbowman108 Yep the integral actually reduces to integral from 0 to inf of (3u^3/((u+1)^2)(u^2-u+1))du and then you just do parcial fractions. However, we all must admit that shit is not finished in less than 4 minutes lol

@hbowman108

Жыл бұрын

@@MiguelHD04 I reduced to 3/(1+x³) - 3/(1+x³)² and the second one obviously has a contour integral of zero. Then you just have the pole at exp(pi i/3).