Monster Question of Integration...
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- Опубликовано: 5 сен 2023
- Toughest Question of JEE Advanced from Integration
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In this context, "Monster" implies that the question is exceptionally difficult, possibly requiring advanced techniques and a deep understanding of integration concepts. It might involve complex functions, unconventional approaches, or multiple steps that make it particularly formidable for students or mathematicians to solve.
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#JEEAdvanced #jeemain2024 #mathematics #maths #iitjee #exampreparation #competitiveexams #problemsolving #ExamTips #tipsandtricks #testtakingstrategies #jeenexus #arvindkaliasir #unacademy #integration
I have searched the entire yt but only this video has broken the que down into its basics . .... this video is a life saviour
check in the channel raghavendra singh maths. it has been explained their more thoroughly
Already did this ...
Ashish sir student this side💯😎
@@SachinSinghhhh As An PW student I was Searching for this 🎉
@@SachinSinghhhhbro which lec can u specify plz I wanna retry this
@@surferr no bro actually i tired this on my own..
That's why 😂 chill this question is not meant to be attempted 😔
Ek approach ye bhi ho skti h ki hum pehle wala concept use kre jo apne limit of sum ke do concepts explain kre usme se. Pehle wale concept ko use krne ke liye pehle hum dono taraf log lenge, x/n ko niche utarenge, x ko limit ke bahar lejayenge as a constant, fir hum product me r/n ko extract krenge (n^n se divide krna h numerator aur denominator me, (n!/n^n) to sidha r/n ban jayega, fir (x + n/r) /(x²+n²/r²) me hume r/n se upar niche multiply krna h , n!/n^n se jo r/n extract kiya tha usko hume denominator me multiply krna h, fir log ki property se product ko sum me convert krenge. Ye sab krne ke baad sigma ki general term banegi : log (x(r/n) +1)/(x²(r/n)²+1). Ab to bas hume x ko integral ke andar constant ki tarah treat krna hoga aur simply 1/n ko dt aur r/n ko t put krna h. Fir hume integral milega: x ∫ ln(xt+1)/(x²t²+1)dt with limits from 0 to 1. Ab hume xt = u substitute krna h aur x dt = du rkhna h. Finally integral banega : ∫ ln(u+1)/(u²+1)du. Aage to same h. Pin krdo sir ji bhot mehnat lagi h 😢
Edit: aakhri integral me limits from 0 to x hongi of course.
Upvote karde ta hu bro
Bhai comment me naa likh ke agar padh liya hota to aaj iit me cse kr rha hota.
@@axonop6969 good for you kyuki mai kayi mahino me barely ek comment krta hu 🤡
@@ashmitneedssleep bhai aap adv ke liye qualify the kya??
Aur agar ha to kitne aa rahe hai
@@yashsangwan8569 bhai mai 12th me hu maine ye topic limit of a sum me padha tha tab 11th me aur thora integration mujhe physics se aata tha
I m 60 years old, attempted IIT too, still crazy about what you have just explained. Your intensity, great.
@@krishaboy tere baap ki umar ka hau jhaantu
@@krishaboy😂😂😂😂
@@krishaboylearn to respect old people please
@@krishaboynaam Krishna aur kaam bhosadi waala
@@chiragdalwani4422 they respect their parents same
How wonderfully he solved this problem.... even after forgetting those things for years now... I could understand the solution in its entirety....massive respect. God bless u!! ❤❤
Probably,the toughest question ever asked and one of the most interesting question
Definitely not interesting 😢
High order Critical thinking 🤔 question.
@@anvitmagadum7003It's the highest order critical and intellectual thinking
Not that tough
No this question is not tough this question, is just checking how much you have studied in the first lecture of integration
I'm currently a student in one of the NITs, in my 3rd year, but still seeing the question and watching Sir solve it felt surreal, sent me back to my JEE prep days and awakened a lot of memories ❤.
@@sanjayojha9679 Bhai tu bhi aur ek do saal baad regret karega
@@Artist_of_Imaginationkyu
@@Artist_of_Imagination NITS and IITS
Are best Engineering college of India
They give u a great opportunity to learn and master your skills.. they give you a package of lakhs !!!
until last year i used to watch your channel
now i am watching it while sitting at my room in IIT😎
Ooooooooooooooooooo😂
Expectation?
Omfho
Haan toh ? #IndiaIsShit
Oh i see another successful utkarsh
IIT Guwahati supremacy>>>>>>>>>>>♾️🤐😶😱😱
sab iits ke professors milke paper banate hai ek iit ko sirf management karna hota hai
@@shrekekyes Bhai
@@shrekeksahi kaha ❤
Bombay
Bro ye to karne ki ek ezz trick hoti hai usse bhaut eazy hai hame vedantu me batayi thi
Varna normal meathod se to deadly hai🥲
Great video, JEE Nexus! I really appreciate the way you break down complex concepts into bite-sized pieces. Your teaching style is so clear and easy to follow. Keep up the good work! #LearningMadeEasy
jee 2016 was of monstrous level
Physics had 2 mind blasting questions based on corealis force and precession motion
Me watching in my 3rd year. JEE Advanced questions always ask my inner conscience to explore about
how do I get good at integrals bro
@@Physicsguy-qq5dcsolve more of em wtf is this question bro
@@zulfii982 I didn't say that they ain't tough
I wish you were a teacher in my time when I was preparing for JEE. I surely would’ve cracked advance. You have made the question so easy by teaching basics so well that even an average kid can understand this.
Bhaiya which college did you chose for NIT
excellent video, understood the concept completely!!
sources say that jishant nindal was among those 1% students who could solve this question during exam
N=J
@@tanupatel7151 i know. i was being sarcastic
source: trust me bro
ps you were being sarcastic right?
@@standard0075 yes dude😂
Claimed by 247 sources
Really, a beauty! A very explained. Thanks a lot.
Not too shabby,good job brother.
Thank you sir 🙏
Right now in IIT Indore 4th yr....cannot believe we used to do these type of questions during our preparation years...right now it feels next to impossible for me to even approach JEE advanced questions which we used to do easily back in those days
Agar aap indore se hai to matlab iss type ke question to aap chhod hi dete honge
@@Carlosramirez-he4ziWhat do you mean by this Kiddo Maybe he is in CS mechanical If he is bOy then 10000 plus rank If he is obc then 7000 and if gs 3000 And If he want Cs then 700 and any other then under 3000
@@Carlosramirez-he4ziaverage class 11 kid
ha bhai samaj mai aa gaya.
more questions like this plz.
Cant even imagine solving these type of questions in such crunch times during exams !! you literally need to be perfect in everything 🥲
*1% means almost 2000-3000 students were able to solve this question. This is disturbing because India is soo much Overpopulated country that number of toppers in our country is far greater than number of average students in other countries. The competition is so intense, no doubt many students suffer depression because even after working soo hard, they don't make it due to limited opportunities.*
*In India, you have to work extremely hard to achieve a even a normal thing and you don't even get half of what you deserve. All the blame goes to the 1970-2005 generation people who kept having kids despite of their poor financial condition. In 1970, population of India was 60 crores but in just a span of 40-50 years, the population grew to 140 crores. More people with limited resources means more competition. People have done so much for this country, many people even gave their lives for this country, but all this country gave back is poverty, unemployment and extreme competition.*
*A forced implementation of one-child policy is the only key to keep this country sustained, or India is doomed. A civil War is much likely to happen due to lack of resources and almost unlimited people to consume. The so called "Survival of the fittest" is near.*
You're right
Yes bro it is not possible for average student to survive in this competition it's an engineering examination not an olympiad , but due to competition they have to solve such type of questions. They are even not necessary for engineering you just need only innovative mind but we have to solve this it is even impossible for average student to get into IIT .
And not get a chance to learn in reputed institutions
@@user-iv2dh8vi4zwe don't need average student in IITs only geniuses are enough.
Blame your parents why they not aborted you😂😂😂
I tried but I failed to do so now I'm Peacefully living in my village and watching this😂
Try again ez
Thank you so much sir!!! Iss question ne dimag ke sare concepts chamka diye!!!!!😊😊😊
This videos give us a courage to change😅
Any one noticed in which year this question appeared.2016. JEE ADVANCED most difficult paper in History.
Even neet 2016 phase 1 and phase 2 were quite tough
But JEE 2022 was More Difficult
@@user-bz1wl6iu9b jee 2022 is much easier than jee 2016
@@baibhavmishra1883bro... keep ur neet away from jee advanced🤣😂😂
@@baibhavmishra1883neet 😂🙏
Brain Storming 🤯.
Teaching style is so good.
Bruh I'm telling the truth the people who crack IIT with very high scores,most of them have knowledge of this type of problem from higher studies,or (advanced study),I will recommend the Engineering mathematics book(B.S Grewal),if you do some particular part of the book,then you will understand what type of question the professors make,it seems like they show extreme creativity when crafting a question,but the truth is if you have advanced knowledge,those creativity even doesn't give you a sweat,,you can creack many questions easily,and trust me there are so many shortcuts you will learn from the book,that requires very much calculation from the perspective of a 11-12 standard student.
bro i checked out pdf of B.S Grewal and trust me meri phat gayi
close to 100k , lets gooooo!!
we need more!!
Me watching this vedio being in 10 class
Same
🍿🍿
Just wow!!!!!! Aaj hi hmare yhan definite integration ka second lecture tha and mai dinner ke baad idhr aaya....coz integration kaafi dekh hi chuka tha toh yeh video bhi dekha and kasam se mza aa gya sir
PW ?
@@Ankitsingh11731 Han 🙂
@@ngtayaan lol I though so mera bhi lecture tha
@@ngtayaanpw itna basic padhata hai kabhi Allen aage dekho pw se padhge advance question soch bhi nhi paoge
@@arihantjaiswal7972 koi baat nhi bhai aap le aao AIR 1....aap khush rho...hm apni jgh khush hain :)
I understood everything !!
😮 sir aise aur bhi questions chahiye
Dude our sir solve it in 1 min and we can too.hatts off to one and only Goat Ashish Agarwal sir
अति बुद्धिमत्ता परीक्षण का अवसर।धन्यवाद।
fact is that these questions are greatly inspired by some hard to find old books of college level Maths
Very beautiful sum😊
I am in 12th studying integeration and ise dekh ke toh 😂😂
Pura bol na gand fat gai 😢
Mat dekho bhai ye sab💀
This can be solved easily.
1. Designate x/n as “a”
2. Transform to eliminate n! and n^n
3. Take ln on both side
You will get terms like a*ln(1+a/1+ a^2) + a*ln(1+2a/1+4a^2) …
4. Differentiate and since a is tending towards zero. The term remaining would be ln(1+a/1+ a^2) + ln(1+2a/1+4a^2) …
5. Now we know for each a>1 ln and in turn f’x would be surely negative solving option 3 and 4
6. For a
Vahi koi general form ki jarurat nhi thi...agar x/n ko a mann lete
Nice! 👍🏻
Wo sab to theek he sir lekin aapne itna badhiya samjhaya ki ye to tough hi nahi laga aap sachme great ho sir❤️🔥❤️🔥❤️🔥
Actually question easy Hai but conceptually deep that's why during exam it take lot of courage to get into question like this. I'm also among the one
Who solved this question.
I too
What rank did you got
Aaplog plz bta do kaise kiya tha ye
Mtlb ek shortcut bhi haina x/n ko a put karne ka usse toh nhi kiya tha
Mza aagya sir thnku so much🫶
amazing quesn sir!!!
#iitjee#, please posts sums like these, these are so nice to solve.
i solved this question(by my own) and literally it took me 15 minutes to solve the question completely how were those 1% students who have solved it in 5 minutes(hats off to them)
Generalization op & Sir also❤❤❤
Easy ques tha ye toh, bass exam pressure me solve karna badi baat hai, ghar baithke karna ho tab toh easy hai
Fhir Tough Question konse hote ha I bhai 🤡
Don't overhype the exam mister.....It's not necessary or important or feasible to attempt all questions......why not put these kind of questions in the bin during exam......the topper may not have even attempted this question......some questions are meant to spoil your time and mental peace during the exam....... it's always wiser to leave such questions and even then you can top the exam......... Once you get selected You'll have your entire life to attempt these questions and solve them successfully to get mental happiness about your greater brain capabilities 😂😂😂.....
Sir thank you very much i tried this question multiple times but unable to solve but after seeing your solution,,, me like aur mehenat ki jarurat hai ......
Beauty of JEE
Samaj aagaya bhai I m from nepal and I m not preparing for IIT too still I got it it proves how well you explain I like your lectures so I watch it bahut hi mast question tha❤
🧢 ……
@@justchill3aint no way he not studying for jee and seeing dis video
@@dikshensutaria3224 me too bro😆
@@dikshensutaria3224 I am in 10th and watching his videos.
I'm in class 10 , deciding for jee, ye dekhkke kuch samaj nhi aaya, 😢😢
This has to be the peak of calculus if anything. Probably the greatest thing I’ve ever seen.
Sorry if you think this is the peak of calculas please then don't go and study vector calculas and then mathematics physics
Use limit formula for infinite case donot use integration then its so simple to figure out logf(x) = x^2/2-x^3/3
@blackpenredpen you should have a look at this video. The language might be a problem to you, but the question is of great concept and understanding. I would like to see your take on this.
If we have fx as a very slowly increasing/decreasing function, we should be able aggregate an approximate value for integral fxdx, by sumation of such areas of n rectangles, where bigger the n, more accurate the approximation...
I am 31, but still amazed that i tried JEE, it looks so difficult but when now I see it looks like a poem, just need passion to solve
Amazing explanation dear. I am a Sixty year fan of yours. Thankyou for this mind opening solution 😊😊😊
Over Hype kar diya iss question ko
I think this question is a must solvable question
Unique solution ❤❤❤
We can use stirlings approximation it will make it a bit easier
Ashish Agarwal sir is a gem... He explained this qn in class❤❤
ik bro ... but mujhe yeh question class mai bhii samajh nahi aya
@@sankalpmakol517 try again bro... It's one of those questions jo tumhare notes me hona chaiye...
bhayankar question. aman bansal macha diya
Got the concept 😊
I don't think so it's monster it like if u know basics toh hojata .... main reason for less correct and attempt percent is that students thought hard hai lets leave it ... other wise this simplification should not take more than 6-7 mina
Looking at it now after settling down in life, I think this level of problem solving skills should instead be used for an entrance exam for a job in ISRO or a real world problem solving competition of some kind rather than for an entrance in an engineering college of a country not known for any engineering marvel in recent history!
EVERY QUESTION LOOKS EASY ONCE WE SEE ANSWER SOLVING VIDEOS😂😂
OP question sir! Maza aa gaya. Ab aur mehnat karni padegi ❤❤
You can never.
@@saiajaygarine6382 What I can never?
@@awmdanger9677kaha rehta ho or konse claasss me ho???
@@RPSINGH-or2ik 12th
chup tatte@@saiajaygarine6382
The crux of this question is the concept of lim x->inf. And manipulation with knowledge of logarithms!!!!
Such a beautiful question!!! 🤩
🔥
Kindly suggest the best playlist for function , graphing and sketching
Literal goosebumps ☠️
I'm in class 10 but the Thumbnail and the title of the video got me here unbelievable efforts by the teacher and students who attempts these kind of que.
Hats off 🙌
10 th me ho wow ...
Bhai 10th ka board jese hi khtm ho jee ya neet ki exam ke lie ready hona .. mtlb life bhot enjoy kr li apne bhot maze kar liye Bhai
Abi board me Aram se paper likho .. uske bad start krna ap 😊😊
@@englishphobia5853 ♥️👍
Sir maine. π waali term to nikal di thi but , mujhe pata nahi thaa ki ln(f(x)) bhi bana sakte hain , think sir for a good approach
Sir, bohot khub. Lekin, examiners bachho ko kya Newton, Ramanujan yah Einstein samajhte hai??
this question wa one of a kind
Jawab to samajh aa gaya itna clear samjhaya hi hai lekin is tarah ka sawal banatey kaisey hai
.....
Unko pehley se pata hai options kya rakhna hai aur 4 me se kaun do options sahi hongey aur baki ke galat
Yeh sahi aur galat options honey ke liye f(x) ke liye kaisa algebraic expression hoga jisko ki Lt ke form me rakhey .....
Examinee ko itni samajh hogi ke simply expression me x ki value dalkur to sahi galat options nahi pata kur saktey......
Is Lt ke form valey algebraic xpression ko definite integral ke form me simplify kurna hoga ....
Simplified xpression me value put kurne pur sahi aur galat options obvious ho jayengey
Video dekhkur samajhna aur khud se exam conditions me sahi solve kurna dimag se bahur ki bat hai
Sawal bananey vale se zyada kathin kam lugta hai is paheli ko khud se samajh kur exam pressure me solve kurna
I guess To solve such questions successfully during exam i think th student should hav th ability 2 get into th mind of th question setter
Hats off to that students Jinhone tukka Mara hoga aur answer correct❤❤😂😂😂
This is a question of sequence of real numbers actually, mixed with integration.
I aolve this question in 20 min without seeing the solution after solving i checked the solution and ans is correct
I am in class 11 and just come to see how tough questions can come in advanced
Maja ayega aa wala question karke
samajh gya
sir
phle dekha tah viddeo nhhi solve hua ab dekha DI krne ke baad samaj aa gya'
This question took me complete 1 hour but i solved it completely
Wow bro, keep going. All the best
Then you would a very smart student
@@10....928 not really i would say but just because limit as a sum is my favorite topic of entire integration
Mind destroyed 😮
nishant jindal prob 1 of those who did it in exam
Chances Kam hai lagta hai
Me as a NEET aspirant ☠️
Bhai is video me hua kyaa??
Ham log kyu yaha hain
Limits and derivatives class 11 plz bhai ❤
Rankers are not those who solve these questions rankers are those who dont even waste single second in these questions and move onto next
.
.
.
.
Obviously 1-100 rankers are exceptions
1-100 are genius man!
@@susmitbhar9462 Hardwork bhi karte hai bro....
@@SoumalyaPatra07 Ha wo toh sab karte hai , hardwork toh IIT Jane ke liye basic necessitiy hai
@@susmitbhar9462toh kyun nhi aa jati top 100 rank yha 9th se padh raha hoon 10hr consistent tum log toh 11th 12th me consistent nhi hoge deserve hum krte hain na ki tum btw I'm jee 2027 aspirant
@@User-kyijj Kya bol rahe ho bhai , suppose top 100 me log class 6th se prep kar rahe honge
Samaj kuxh nai aaya but maza aaya 😅
Me being in class 10 (2024-25. Batch ) not understanding a single thing and all the things he said is going above from my head ,
I have plans to take PCM after boards but seeing this....Calculus is tough....💔
Guys.. Repeat at least 5 times at 0:38
Maa kasam ❤❤❤😮
Ashish Aggarwal sir be like kya hai questions me😂
Yes bro
Ashish sir level is much more harder than jee Adv
Emotion Walah 🤡🤡
Apna module ko to kabhi dekhlo 😂😂💀
@@realitycheckers8898 4200 ka batch se aur sayari Wale teacher se padh kar jee crack kiya hu
@@realitycheckers8898 bro kab tak module par rote rahoge pw ke teachers ki barbari koi nahi kar sakta mind it
Not that difficult to be honest, assuming you know product limits can be converted into sum limits and then to an integral
Acculy me exam ke time es type very hard questions chodna hota hai . Nahi to yahi tum ko khayega.
Pahala galat hua to negetive, sahi hua to time loss bahat yada. Jo easy easy ( easy matlab halwa mat samjhna , easy matlab jo karne layak questions ho time ke sath 40-50% ) karne see achha rank aa jata hai . 40-50% karnw layak questions bhi kaha milte hai washe 😢 .
Watching this video again at 12:22 f(t) is ln(t+1) ok
For finding th botom and top limits of integration interval
Th xpression of ((rx/n)+ 1)) at r=1 and n tends to infinity
is 1 and not 0
That is th botom Lt is 1 instead of 0
and
Similarly th xpression ((rx/n)+1) at r=n and n tends to infinity is
x+1 and not x
That is th top limit is x+1 and not x
Somebody let me know if i am wrong because iam missing something
Ur very much wrong.....first know the basics before criticizing others
So what is the right option then?
I Like derivtives and integral more tha PnC Derivative and integral look easy
Being a neet aspirant I felt like ki.. ye kya ho rha hai bhai, Bhai mujhe cockroach bana do 😂