MIT Integration Bee 2015

[@dodokgp]

if you close your eyes, all you hear is the dilapidated sound of Morse codes being sent during WWII plus claps of independence

[@leddsz]

dont care nigga

[@Chrnan6710]

2:04

[@oneinabillion654]

Found the first dislike

[@twb_luis915]

Ledzin why did you like then

[@MK-13337]

To all of you who learned integration in high school and think this being easy is the point, I learned to run when I was very young yet I don't go to running competitions

[@MrVibriocholerae]

Matti Kauppinen you probably should though fatty

[@varunupadhyay1576]

Matti Kauppinen wtf u are trying to say

[@restitutororbis964]

Varun Upadhyay He is trying to say that, because you are great at integration doesnt mean that you could go up there and win easily.

[@aishwarytiwari2534]

@@varunupadhyay1576 idiot

[@seekhelp]

I took AP Calculus in school, and that was like a walk in the park. I took it again in Uni again this year and it was really challenging, everything was geared up. But I do agree, I would never be able to do such quick math in this limited time.

[@elricfd]

Feels a lot less intense than the 2006 MIT integration bee :,( wish there was a commentator

[@Idunnowhoiam102]

Yeah man. They gave a detailed explanation

[@blitxaac]

Yea I liked the commentators too

[@agfd5659]

It's going down hill it seems

[@UnknownOH]

And we’re missing the shirtless blokes the 2006 video had

[@noblepanju8474]

Yeah I feel the same

[@tomwu163]

I'm only 4 years old and learned this in Chinese kindergarten, I feel so superior to all these MIT students, now worship me and help me feel special

[@elonmuskguy8534]

Tom Wu. idiot. I learned all this when I was 2.

[@torontovlr]

Idiots I learned this before I was born

[@garyqiu8621]

Idiots. I learned this when my mom was in elementary school before she hit puberty.

[@mairisberzins8677]

Idiots i learned this when my mom was still in my grandmas ovalries

[@perihangummadova5017]

you know what, You are ALL unCLEVER....

[@ahsank.]

Damn we've produced an army of Einsteins in the comment section

[@mombhattacharyasamanta785]

@Just Some Guy without a Beard Not exactly . These are very easy to Asian people especially Indians . We do tougher stuff in highschool too. But thing Is it a competition so speed matters a lot. Everyone knows to drive car but does they win race ? Absolutely not

[@notintheobservableuniverse2594]

Mom Bhattacharya Samanta The surprising thing is this guy is likely an asian that too from our nation (I think so for a reason). 🤔

[@notintheobservableuniverse2594]

Mr. @ﹺ　　　　　ﹺ You are the same guy who just attempts to mock those in comments section who just says about something being easy that you don’t agree with and later call them “dumb” and “ineligible for mit and stuff.“ (and then justify by restating the same thing) 😆 .

[@notintheobservableuniverse2594]

@@mombhattacharyasamanta785 The people like the guy above are dumb enough to understand that there exist people better than him at a certain skill set and everyone is different

[@jaykay2218]

Not in the observable Universe bro chill, he was just kidding.

[@bLuemaNMKO]

everyone here in the comment section has high math skills, I am impressed.

[@matron9936]

[@Manuel-pd9kf]

Lmao i knew how to do these when I was 8 months old

[@notintheobservableuniverse2594]

D'Tāh TeVï I think it is what we know these are the types which we see in our high school examination of CBSE let alone JEE so I think we know it. Maybe we can’t be quick at some of them but most of them can be done at sight and those others can be done similarly with enough practice 🤔

[@notintheobservableuniverse2594]

D'Tāh TeVï the culture of making things difficult has an adverse psychological effect. This culture has made some examinations (like JEE in india etc.) and competitions look much more difficult than they actually are, please don’t do this with this one.

[@notintheobservableuniverse2594]

​Don't be stupid @ﹺ　　　　　ﹺ​ Come on man don't be a moron moreover you are pretty Hippocratic to point out that I am talking big by yourself talking big and judging me on basis of your "naive" analogy (I would like to know how small you think by asking you to state the reason you think I am dumb) on a single comment. You must know what you are saying before you say it kid!

[@nabupandey8146]

The exam is based upon speed rather than difficulty level

[@deependragaur4991]

Exactly

[@colinpsajjabi]

True I think if I had time I could these

[@dsgarden]

I'm 5 months old and I can do this.

[@Himarim]

A-M-R-O i'm 1 day old and i can do this easly

[@paulgamer1818]

I'm​ 1 sec old...and I invented this fuckers

[@HadiM-rb7yo]

and i believe you

[@あいうえお-b3i6g]

YO guys I m lim x->∞ 1/x yrs old

[@cricketlover2886]

Happy birthday

[@lumiere4460]

To everyone here saying "This is so easy" "The school in my country taught this in Elementary school", y'all are a bunch of damn trolls, and you can't even get in to MIT.

[@facts_only2526]

But its not even that easy. At least for me.

[@babitagupta5513]

Nightingale Orphi yes it's so easy

[@pavementschaseii96]

so true! hahaha

[@abhisheksinghp276]

questions are really easy but they were solving it within a min..that was really crazy.

[@deependra_bro]

what 's crazy in that. Haven't you prepped for IIT JEE

[@mechwarreir2]

that last problem... a telescoping infinite fraction that converges to just integral of sin(x).... holy shit

[@xBiggs]

Funny enough that infinite product is actually the sinc function

[@B3Band]

Even funnier that they didn't have it memorized ahead of time! I learned that one in high school! (not how to prove or derive it, just that it existed)

[@dbsllama6042]

mechwarreir2 it's called Taylor series btw

[@arturogonzalez6184]

I thought it was sin(x)/x

[@arturogonzalez6184]

No sorry. That is the product. Ones you plug it in you get square root of 2 over 2 + 1

[@reninjose878]

2+2 is 4, -1 thats 3 quick mafts

[@noddye1764]

holy shit dude you went to the himalayas and meditated?

[@rubikscuber1114]

ASSSNEY

[@GammaFZ]

everyday mans on the blocc

[@DanielAjayi]

ayeeee you know whats up 🤣🤣

[@shivammalluri6403]

My birth is due in 20 days and I can do these

[@ViratKohli-jj3wj]

You must be a Year old now

[@noddye1764]

@@ViratKohli-jj3wj i think aliens took him

[@ndb31]

looks like Allen institute is admitting pregnant moms so that their fetus can crack jee

[@noddye1764]

@@ndb31 slowly allen will soon turn into a adoption centre.......ok i will stop.

[@ndb31]

@@noddye1764 i think the next step is to have a jee qualified sperm bank and jee test tube baby center

[@SN26111]

I invented calculus in my previous life

[@kratos660]

Are u newton or leibnitz

[@rit1237]

@@kratos660 haha was about to comment that

[@Randomz-jk4hk]

I don't really care about how the comments are calling all the questions 'SO EAAASSSSY', but I believe we all can agree that 5:32 was a one-liner that these guys struggled on. It might have been a bit scary for them, but, that one was pretty easy.

[@hoixthegreat8359]

Yeah that bit confused me. Guess it's the pressure

[@user-en5vj6vr2u]

100% it was just pressure. Idk if you’ve ever met any MIT students but they’re just as smart as youd expect

[@AlonsoRules]

this needs to become an Olympic sport - a sport for real people forget Decathlon, this is the crème de la crème

[@siddharthnandha5928]

The one with the cotx and sec^2x could’ve been done a lot easier. Just replace cotx with 1/tanx and let u be tanx. du will be sec^2x and as a result you are left with the integrated of du/u which is just ln|u| + c. Which is ln|tanx| + c.

[@gamechanger2976]

JEE aspirant ??? 😁😁

[@rengokukyojuro1384]

Man they sure stretched it out. I did it in my brain.

[@saiharshith2996]

@@rengokukyojuro1384 fr man its damn easy idk why they elaborated more

[@thephysicistcuber175]

the first one of round 2 (around 40:00) is the reason you should know your inverse trig functions 1/2*arcsec(x^2) before watching

[@kiyoponnn]

Yeah, you should have them memorised if you want to compete at this level

[@DOXO881]

16:34 at first, I thought the guy wrote "lil 8" so I was like, is he giving a shoutout to some mathematical rapper I do not know about? 🤣🤣

[@princexyz234]

Bro thats mod of i

[@isaaczermeno935]

I'm here for inspiration in math

[@-hydro]

The number one way to get good at Math is to: PRACTICE!

[@sainathdj7768]

Can you help me sir

[@raunak51299]

Isaac Zermeno me too

[@mathematicalhuman6858]

You just need to think of the fact that EVERYTHING in life is related to math so think of it as a key to life ;)

[@powerofwisdom2336]

Wrong place, there is no math in it...

[@spelunkerd]

Gee, I'm hoping somebody can point out my error for the problem starting at 46:05. The answer confirmed at 49:10 is 1, but I keep getting 2/pi. When I substituted u=pi*x/2 at the beginning, the 2/pi adjustment for du conversion carried through to the end without cancelling. My indefinite integral is verified correct, but when I do the subtraction for the definite integral my final term ends up being (-2/pi)*(-1)= 2/pi. Of course cos of any integer multiple of pi/2 will be zero, except when the multiplier is 0.

[@apple_meson]

hey I know this is a late reply, but I think I might know where you went wrong. I'm only just learning integration so I could be wrong,but I think you forgot to consider that the [x] inside the sine function is actually the greatest integer function. it returns the value of the greatest integer less than the value of variable x. so for example [x] will give an output of 0 for every number from [0,1). hence its periodicity is 1. on computing the integral you get integration of sin(0) from 0 to 1 + sinπ/2 from 1 to 2 +.... sin(2014π/2) from 2014 to 2015. when you compute that you get 1. But they should've really specified that [ ] denotes the G.I.F. im 17… so correct me if I'm wrong :) hope this helped :p

[@kamarinelson]

thank you for clarifying what that notation is. I've been trying to figure out but can't exactly google what you don't know in this case, try as I might.

[@apple_meson]

No problem! Glad I could be of help!

[@TytannicGaming]

sorry what

[@spamtrash2331]

Aditya Verma no

[@vlogsbyrow]

3:54 that person's really fast! Also they're a lefty which is cool

[@eggshells652]

Rowida Zaid fast makes higher chance at mistake

[@diaz6874]

4:27 "Yeah, bitches. Look at me and my integration". Lmao.

[@anupranavde9290]

I like how you're gender neutral. :)

[@debasishborah8636]

@@diaz6874 🤣🤣🤣🤣

[@darkcloud13579]

How do you evaluate the integral shown at 1:34:34 ?? I'm able to get to the simplified version of the infinite sums (i.e. tan^2(x)/(x^2+1), but I'm unable to go further? Haaaaalp :'(

[@aarshchotalia5316]

Notice that 1/(1+x^2) is derivative of tanx. So (tan^2(x)/(1+x^2))dx is actually (tan^2(x))d(tanx). So the integral is simply (tan^3(x))/3. Inserting the limits: 1/3-0/3=1/3.

[@polychromaa]

I'm a bit late but there is no way to solve this. The antiderivative doesn't exist, and their answer 1/3 isn't remotely close to the right answer

[@dariosanz17]

en el minuto 5:19 falta poner la constante de integración ya que se habla de una integral indefinida.

[@OnlyJasiel]

En la descripción dice que no es necesario agregar el (+c)

[@jacob2713]

quick maths

[@L4INDIA]

🤣🤣

[@jamesbentonticer4706]

Did not know something like this existed. I wish our campus at UofCalifornia would have this game.

[@elshroomness]

James Benton Ticer start it.

[@afrofantom6631]

dude ssly called integration a game

[@alavi9494]

times up, snap back to reality

[@bradleyhickman774]

Alavi Steam 9p

[@NIKHIL-qk4pd]

Alavi Steam oops there goes gravity

[@hyoungjulim6035]

he chocked he's so mad but he won't give up that easy

[@i.m.4044]

Art Of Technology Nope give up that easy,give up that easy .You better lose yourself ...

[@kellyniu8570]

in the music the moment

[@samueljohn2842]

How is this in my recommended. What would make KZbin think I'm even remotely smart enough to understand this at 2 am let alone at all

[@hamzakhursheed2136]

Same 2 am recommendations case here. Wtf KZbin

[@thecwwshow8036]

At 23:10 why did he write out sqrt instead of any other terminology? I just feel like it just takes a little longer to do that than write the square root symbol. 🤔

[@TG93Handle]

Maybe habit

[@sam123rocks]

i was just gonna say, definitely a comp sci major

[@rban123]

Jon Barron he’s a python boy

[@addy32045]

I was surprised that i was able to attempt almost 40% of all the questions. These questions were in my prescribed textbook

[@zacqd1553]

Well because it's a "Bee",where you're competing against time but not difficulty

[@anshulanand02]

@@zacqd1553 correct

[@kneD-e]

NCERT lmao

[@josephpaige3614]

And this students is how we prove that 1 is greater than 0.

[@spamtrash2331]

My name is Kaushal Parikh

[@BigPokemonFan987]

I would automatically fail since I've never written on a chalkboard before

[@taylorlangley900]

I’be been dead for five years and I can do this

[@XxUnraveledGamerxX]

Meanwhile I'm still having trouble with my timetables

[@arhivapesamabosanskograta2867]

XxUnraveledGamerxX are you special

[@XxUnraveledGamerxX]

Daniel Lincoln Yes very.

[@btdpro752]

Times table isn't about doing it's about memorizing. You mentally do 13*7 you memorize by repeatedly doing them.

[@kiyoponnn]

@@btdpro752 Actually I mentally dk them since I've only memoried up to 12

[@paulwei2762]

how did i get here?

[@janv.8538]

You mean its gone complex?

[@andreastryggvijensen7336]

46:00 *male judge whistles* That's pretty much what i got. But James had it simplified! *applauds him as the only one* "wait what?"

[@JoseSanchez-zd5du]

You would think MIT, with all its funding, could afford to have some better recording and editing of a video.

[@flash012234]

This isn't an MIT sponsored video, because it seems to me that it is another fellow graduate/professor just recording sections of the competition.

[@stormixgaming8389]

2006 one was done so well on YT

[@Philgob]

What I've learned from this is: fuck looking good, just scribble your way to the answer and as long as you got it you're good.

[@Troglodyte2021]

We need commentators as in another video 'MIT 2006 Integration Bee ' to make this video a bit more entertaining and watchable.

[@parksungmin49]

14:37 Isn't it ln4-25/24?? Where does the log4 come from??? Somebody help...

[@algorithm5769]

박성민 they made it so that log basically represents ln so you are correct it’s just that they want it in the log format

[@0726-o9b]

in Western countries ln is also normally written as log

[@요맨-f6z]

It would be nice if this kind of contest were held in my university.

[@philipphoehn3883]

you should try to organize one!

[@Nithesh2002]

At 1:39:03 they give the answer 1/3, but numerical integration gives around 0.156503.. which is a bit sketchy...

[@ta-yangwang5647]

The answer is incorrect. The simplified form of the function would be tan^2(x)/(1+x^2). I guess they want to make the following substitution: x = arctan(t), then dx = 1/(1+t^2) dt [*but not 1/(1+x^2), where one may obtain the wrong answer 1/3]

[@Nithesh2002]

@@ta-yangwang5647 Nice; I didn't manage to figure out how the 1/3 showed up there. I wonder if the actual integral tan^2(x)/(1+x^2) can be evaluated to give a closed form expression consistent with the numerical approximation (maybe through Feynman's technique or some fancy double integration).

[@2006cs10173]

The answer for the problem at 1:34:34 (which nobody got) is given as 1/3 at 1:39:04. This is simply incorrect. A numerical evaluation yields 0.1565032457.... I have not found an elementary analytic way to get this answer.

[@dhruvmakwana4595]

Try the sum of an infinite gp n00b

[@jyotiradityasatpathy3546]

Todoroki Shoto finding the sum of an infinite GP is actually much easier than finding one of a finite one

[@aarshchotalia5316]

Analytically the answer does turn out to be 1/3. The steps are following. 1. Numerator: GP with common ratio -x^2 (absolute value of which is less than 1 for all x in [0,pi/4] ). Hence the numerator becomes 1/(1+x^2) 2.Denominator: GP with common ratio cos^2x, hence infinite sum in denominator is cos^2x/(1-cos^2x)=cot^2x=1/tan^2x. 3.Therefore the integrand becomes tan^2x/(1+x^2). 4. Notice that 1/(1+x^2) is derivative of tanx. So (tan^2x/(1+x^2))dx is actually (tanx)^2d(tanx). 5. So the integral is simply (tan^3x)/3. Inserting the limits: 1/3-0/3=1/3. Also, sir, i'd like to know how exactly did you perform the numerical evaluation?

[@alekisighl7599]

@@aarshchotalia5316 derivative of tan(X) is sec^2(x).... Please think before speaking.

[@FederationStarShip]

What does it mean when they put numbers like (2:29) next to their working?

[@osvaldomena1172]

I think, that is the time with they finished their problem

[@GaryLuKOTH]

For the problem at 1:26:58, I got a different answer. Did I do anything wrongly? For sin(x)/(1+sin(x)), I multiplied both the numerator and denominator by 1-sin(x) and got (sin(x)-sin^2(x))/(1-sin^2(x)). Then, I did some simplifying: (sin(x)-sin^2(x))/(1-sin^2(x))=(sin(x)-sin^2(x))/(cos^2(x))=sin(x)/cos^2(x)-sin^2(x)/cos^2(x)=tan(x)sec(x)-tan^2(x)=tan(x)sec(x)-sec^2(x)+1 If you integrate tan(x)sec(x)-sec^2(x)+1, you get sec(x)-tan(x)+x+C. Is there anything wrong with this solution?

[@23geo5]

+Gary Lu Your answer matches what the Carl and Kai got. I believe that sec(x)-tan(x)+x was accepted and Ben was eliminated.

[@brannantisdale815]

+Gary Lu KOTH Am I the only one who hasn't been to any high school classes and not understand anything you said? It doesn't mean I won't learn it in the near future, I just don't get it now.

[@GaryLuKOTH]

+Cade Tisdale It's Calculus. If you have not been to any high school class, then yes, it could be a challenge for you to understand.

[@Nisarag23]

+Gary Lu KOTH yup I got the same thing as you

[@sherlockholmeslives.1605]

+Nisarag Bhatt I am NOT clever at all! My I.Q. is 104 ( Average ). I have learning difficulties. All My Poems Are Shit!!! My favourite writer is William McGonagall as I understand him.

[@creepahdude23]

I'm pretty sure that some of these answers are wrong. If the judges had done the problems before the tournament as quickly as the students did in this video, then it makes perfect sense why they would make so many careless mistakes.

[@zachmoore4528]

I just watched something like this, but for high school students. For a problem similar to some of the first ones, by the time I told my friend that “ln” meant natural log, one of the finalists already found the answer. This shit is nutty, props to anyone who can do these in any amount of time.

[@sugoiperson5899]

If you watched this video backwards it would be a differentiation contest

[@ta-yangwang5647]

49:13 Frullani integral [f(0) - f(∞)] log(b/a) = -π/2 log 2

[@blazep5881]

What's those numbers they write, like '1:60' or '1:10', next to their solutions?

[@eXCeL2523]

Pranav B time left

[@agfd5659]

1:60 time left? Interesting

[@eliweber2542]

Currently taking a break from studying for Calc II midterms, and KZbin hits me with this BS in my recommended page

[@Jousef9]

The girl at 8:27 is so good, she has been very consistent through this thing

[@holymotherduck3636]

She's not good she literally just wrote that 7^2 = 49x^2 ... lmao

[@GaryLuKOTH]

They were thinking too hard on the question at 5:33 (The integral of cot(x)sec^2(x)), because it is really easy.

[@GaryLuKOTH]

+Diego It is not as hard as it looks. cot(x)sec^2(x)=(1/tan(x))(sec^2(x)) Notice that sec^2(x) is the derivative of tan(x). So, the correct answer is ln(tan(x)) + C

[@lucasgabrielmartinsdeolive3715]

+Gary Lu KOTH it's insanelly easy, i got it in like 8 seconds, the steps are: first, transform it in sec²x/tgx and then... u = tg x => du = sec²x dx that substitution give me integral of 1/u which is ln(u) and then, unmake the subst. you get ln(tg x).

[@alexmarsh8464]

I mean, its simpler than that. cot(x)sec^2(x)=(1/tan(x))*sec^2(x). From this it should be incredibly obvious you have the derivative of a function who's inner function was tan(x) would be 1/tan(x) because you have the derivative of tan(x) in the expression. That main function is ln(x). Because d/dt(ln(x(t)=[(d/dx)ln(x)]*[(d/dt)x(t)], it should be incredibly obvious the intergral is ln(abs(tan(x)) because the derivative would be d/dx(ln(tan(x))=(1/tan(x))*(d/dx)tan(x)=(1/tan(x))*sec^2(x)=cot(x)*sec^2(x)

[@kamarinelson]

I worked way to hard lol. made sin & cos then integrated like half of csc(2x) FML. I'd still probably do the same thing but normally I see how to do it quickly.

[@shayanshaikh534]

Ya it basically is sec²x/tanx Which basically is of the form dx/x and will give ln(tanx) + c

[@nght6446]

The winner explained so well.

[@naturaamans5662]

Similar to these questions I solved five months ago during my board preparation but I wondered these questions even solve in MIT

[@blacknation_98]

can't believe 2015 was 9 yrs ago

[@Irv350]

7:45 Did this dude seriously just expand out that integral in like no time flat all in his head? I'm impressed Alexander.

[@zubinarya5564]

i solved the integral in my head it was easy

[@Irv350]

Kool Storie

[@zubinarya5564]

entrance tests to my college(IIT) are one of the toughest exams in the world we are expected to solve with high speed and accuracy

[@t2nerb721]

+uuryuu Not very impressive tbh... Some of these students have been integrating by parts in their head. THAT'S impressive.

[@suuujuuus]

+t2 nerb lol nop, i guess the indian guy with his IIT has more impressive skills than just integration by parts without writing it down ^^

[@pricey000]

I dont even know what is happening and im ALL IN FOR IT

[@SakanaKuKuRu]

what's happening in question 1? the board is incomprehensible

[@Blank-wv3uf]

"Yeah bitches, look at me and my integration" whoever recorded this is a legend

[@godronexe]

There's so many foreigners in this comments section who judge MIT solely based off of this integration bee and it's honestly so sad.

[@shayneplays6609]

Is annoying lmao

[@mohammadalkousa2856]

Really MIT integration bee very interesting competition. For MIT integration bee recently it was published a book with solutions to problems of Qualifying Tests from 2010 to 2023

[@Ash-rx5wl]

I can't believe that such brilliant students couldn't solve that cotx sec^2x integral instantly . I did that mentally in 3 seconds , and I know very well that my mathematical prowess isn't anywhere near an MIT student

[@Zonnymaka]

42:36 that answer is clearly wrong. the integral can be easily solved by substituting x^4+1=y^2 the resulting integral is (1/2)*INT of (1/(y^2+1), hence (1/2)*arctan(y). Hence the correct integral is (1/2)*arctan(x^4+1)+C

[@mysteriousshubh]

Getting into mit may not be that difficult but the kind of money they ask for to get admitted is something why not everybody's studying there

[@surgeonanuruddha8148]

Dear young people .Please know that fast math is not necessarily good math. Do not try to be a calculating machine. Math is everything except calculation. Calculus is not about differentiation and integration. Learn to grasp the abstract concepts and that will help you creating new ideas. What we lack is new ideas. Gone are the days of Euler,Gauss,Newton,Lagrange,Weierstrass and Ramanujan. By the way I'm a surgeon who loves math.May be I am wrong. But I think this is prostitution of math.

[@AFMathandEngineering]

Great idea, super entertaining! Thanks for the video.

[@spinloki]

1/(cot+tan)*dx=sin(x)cos(x)/(sin^2(x)+cos^2(x))=sin(x)cos(x)*dx sub u for sin(x), and you get the integral from 0 to 1 u*du, which evaluates to 1/2

[@YH-et6ym]

4:07 my man was conducting an orchestra over there

[@rosadovelascojosuedavid1894]

HASHAHHA

[@epicm999]

He was casting a spell to make that answer correct.

[@lalitverma5818]

At 30:11 answer is incorrect the right answer is 1/2((1+tan^2x)-log(1+tan^2x))

[@david-yt4oo]

7:33 shouldn't this be "ln (|tan(x)|) + c" ?

[@m35926]

Yes but it's a moot point.

[@kamalsaleh6497]

Another way the last problem could've been solved is to realize that the product is 0 at x=0 and the product of cosines will make a wave.

[@harshkantbhatnagar360]

These questions are really easy but the time limit is a bit of a concern.... Not lying Im from India they teach these in high school itself...

[@davidescobar7726]

Your country is a fucking bullshit

[@kiyoponnn]

Lol then explain why India is such a shithole

[@randomdude9135]

@@davidescobar7726 White people are jealous

[@randomdude9135]

@@kiyoponnn you whites colonised our country and looted us. Now wait and watch, what'll happen to your Europe. Islamic republic of Europe 😂

[@joaquingrande371]

In the US you can do these types of problems in high school as well, this is a speed contest. The exams in India are much harder tho

[@zezoahmed2413]

these are not hard problems but the problem is the stress and timing so people can not see how easy it is because they are stressed

[@martinjohnson3396]

No one : Literally no one But Indians : I Learned it when I was 8 years Old

[@deepaksrinivas1916]

Any idea what method he's using at 14:25? Thanks.

[@mmohssin319]

He tried to do the polynomial division by using Ruffini's Rule

[@positivegradient]

I'd love to compete in such an event. I'd have a lot of fun.

[@pruthavpatel9606]

why does the 2006 one look harder

[@beverlyfarrow6495]

What the hell is going on here?

[@harrisluo5818]

m a t h

[@restitutororbis964]

Beverly Farrow calculus 2, this to me isnt hard but not easy, calculus ain't easy.

[@connivingkhajiit]

@@restitutororbis964 r/iamverysmart

[@omiddorrani9283]

how is this calc 2? this is calc ab max LOL

[@restitutororbis964]

@@omiddorrani9283 calc 2 max potential lol

[@lalitverma5818]

At 19:36, ans is lncorrect.. The answer is (3/2)ln(x^2+1)+5arctan(x)

[@Noname-by7hh]

terence tao do it like a puzzle

[@moatazelmasry]

bring back the commentators from the 2006 contest

[@thephysicistcuber175]

the integral at 49:13 is actually a cool one :)

[@turnerburger]

4:26 "yeah bitches... look at me and my integration"

[@DOXO881]

02:02 my reaction if I have to solve these

[@deji_ace]

Same! People in comments saying it's easy like wtf I just wanna pass this course.

[@abhinavpandey8456]

At 7:24 problem, just take tan x = t; integrate 1/t => ln t => ln | tan x |.

[@rizkyagungshahputra215]

wolframalpha?

[@tomt4569]

I'm just here for the sound of chalk striking chalkboard.................

[@rahilsanghavi9347]

The guy who won is actually pretty good at integration

[@tanish9381]

no shit

[@Clipaholick]

@@tanish9381 hes being sarcastic buddy

[@altboi7154]

7:41 sorry it was not, the formula was incorrect, it is log|cosecx-cotx|.

[@xtheslipknotmaggotx]

for the first one I simple multiply cosx*senx for both numerator and denominator so you simply integrate senx*cosx

[@GoldenTV3]

I'm Zenberwk from Planet Relaih, we know this as we're born, you petty humans don't even know how to consume stars yet.

[@brocklesnerd1283]

Ahah! these pathetic humans will see on our next invasion on this pathetic rock they call earth, there's a famous saying on my planet XU-91 : "⋏⟟☌☌⏃⌇ ⏚⟒ ☊⍀⏃⋉⊬"

[@MrRad93]

I wouldn't be able to enter, not because I have not learned integration, but because I can't stand the feeling of chalk.

[@AAAAAA-n9f]

4:22 what spell was he trying to cast? lol

[@pabloe5941]

trying to reach out to the gods

[@franciskang]

guy at 25:09 had it. maybe if he’d substituted the limits of integration to get -ln2 to ln 2 he’d have seen he had an odd function, integral equaling zero

[@ComputerGold152]

How is problem 4 log|tan(x)|??? Would it not be ln|tan(x)| ???

[@vlix123]

Jack Polk In pure math, log is the same as ln. We use log to mean the most common logarithm in the field we are workin at. That’s why physicists say that log is log base 10 and computer scientists say that log is log base 2. Mathematicians say that log is log base e.

[@u.v.s.5583]

In soviet union it was 4 ln |tg x|. Tan is notation for bloody capitalist swines!

[@xyphenius9942]

Can you show us all the integrals like damn? And also some commentators would be awesome!!!

[@iamdavyrilliant]

WHERE IS THE +C LOL

[@David-kj7el]

Just feel little uncomfortable when fractional part and greatest integer functions arrive in the game

[@dr.scifreak]

It's so fun when you don't understand anything as a biology student. XD

[@deependragaur4991]

☺😁😁

[@u.v.s.5583]

Integration is like chess. Computers are SO much better than us at this.

[@u.v.s.5583]

The point is that calculating difficult integrals is only of value if it leads to other interesting mathematics.