Bhaiya 4 second me ho Gaya . Easy tha . Bas Yahan work energy theorem lagani thi aur last me Aldol condensation ho raha tha bas fir to basic chemical kinetics se bhi ho jaayega . Easy tha
f(f(x)) = x means that y=x ke about symmetrical hoga, f(0) = 1 also implies f(1) = 0, to ham ek straight line banaenge to vo satisfy karega, y = 1-x line ayegi, ise daal do direct ans 1/2017 ayega
Took 30 second to solve by taking function as a linear ax+b and then by functional values got a=-1 and b=1 and did integeration. Itna lamba karne ki jarurat nahi.
i did it in just 1 minute because, as it was given f(f(x)) = x, it means f(x) = f^-1(x) which means the graph of the function is symmetric about the line y=x, hence i could easily say f(x) = 1-x, and the integration became (2x-1)^2016 which was easy enough :)
How can you change the name of u to x and then be sure that by only changing the name x-f(x) and u-f(u) are same and take out them common please enlighten me
Because we changed the limits of the integral too, x=f(u) maan ke humne limits bhi change ki hai, now it has become a new integral aur apna past bhul chuka hai, voh kuch aur ban chuka hai, it has become a different function. Usko ab tum kuch bhi bol sakte ho, kuch bhi rakho, t,u,x dosent matter as long as you change the limits.
for everyone saying "easy asf" taking f(x) =1-x , they are blatantly wrong, there lies infinitely many functions which will satisfy the given condition one sunch function can be 1-x/1+x if am not wrong , the more general solution to the question can be deducing f(x) = f^-1(x) which is what he did in the video , which is a beautiful solution . unless you're in a exam like JEE or any other mcq type do not assume functions if you cannot prove it.
brdr we didnt say there r other solns , we jus found one that satisfies the given condition and thats all we need , it doesnt matter if there r other functions cause they all will satisfy it
@@RocketsNRoverssun, math boards mai 100 numbers laana kuch badi baat nhi hai samjha aur vo banda video bna rha hai isiliye usne proper solution diya hai tu agar apne "1-x" wale method ko solution bolkr video agar post krega na toh comments mai kuch nhi bas gaali milegi aur apne aapko false satisfaction dena band kr accept that u were not able to solve the problem because assuming 1-x is not a solution in fact ye baat har bande ke man mai aayi hogi ki vo f(x)=1-x rakhde but only u were stupid enough to post it in comments as a solution
@@Ayush-mg6xwBro his assumption is true but he cannot directly say that. f(f(x))=x f(x)=f-1(x) So graph will be symmetric about y=x line, so f(x)=1-x,2-x,.. But f(0)=1,f(1)=0 so f(x)=1-x
ek second ek second , ye saab kya kar rhe ho bhai , ye 5 min kese lag gye issme .... f(f(x)=x bola matlab baas ek chiz hai f(x)=c-x and f(0)=1 diya matlab f(x)=1-x , khatam na fir toh . integral after limit conversion is simply integral of t^2016 from 0 to 1 which is 1/2017 1)copy uthani nahi padhni chaiye warna tumhara IIT nahi ho sakta 2) 20 second se zyada laga toh tumhara IIT nahi hoga
hmm aur jis exam se ye question liya hai vo subjective hai aur agar tu us exam ko deta to pakka fail hota because vo maths lovers ke liye hai ye bakloli isi ke paper mai likhta 0 nhi bhai ko -ve marks milte
Thoda neend mai tha kal 🥲
Sone ka tarika thoda kezual hai
Kl Friday tha bhaiya ka🍷🍷
Neend me tha ya saste nashe me tha
@@varunkakaraddi5965
Bhaiya mazak sahi hai lekin aise rude hokar mat bolo
Because of him we get exposure to good questions show some respect please
@@antashjha365yes very correct said you
I am full support this
Bhaiya 4 second me ho Gaya . Easy tha . Bas Yahan work energy theorem lagani thi aur last me Aldol condensation ho raha tha bas fir to basic chemical kinetics se bhi ho jaayega . Easy tha
hein?
Pagal hogya hai ye😅@@thebruhtruth8973
Ayein
@@shanthimurthy7986 baigan
😭
f(f(x)) = x means that y=x ke about symmetrical hoga, f(0) = 1 also implies f(1) = 0, to ham ek straight line banaenge to vo satisfy karega, y = 1-x line ayegi, ise daal do direct ans 1/2017 ayega
Hacker 🤣🤣
Took 30 second to solve by taking function as a linear ax+b and then by functional values got a=-1 and b=1 and did integeration. Itna lamba karne ki jarurat nahi.
Simple tha bas LMVT lagana tha
F'(x)=[F(1)-F(0)]/(1-0)
=(0-1)/1
=(-1)
F'(x)=-1 ab ise solve karo to F(x)=1-x
Aage ho jaega
Wrong use of LMVT, read the statement of LMVT carefully
i did it in just 1 minute because, as it was given f(f(x)) = x, it means f(x) = f^-1(x) which means the graph of the function is symmetric about the line y=x, hence i could easily say f(x) = 1-x, and the integration became (2x-1)^2016 which was easy enough :)
Ha matlab je question agar MCQ hota toh chale, lekin mostly ese questions prove karne koh hote te for general f(x) not _just_ x-1
🙋♂How did you conclude f(x) = 1 - x
mene bhi yehi use kiya
pta nahi kyu itna lamba method krna hai inko
@@canyoupoop Haan par vese bhi itna mushkil nahi tha.
@@canyoupoop bro channel jee ka hai
guess f(x)=1-x kills the problem
THIS TYPE OF QUESTIONS ARE CALLED BROKEN THEORY QUESTIONS. ONLY FOR RESEARCH MINDSET CANDIDATES.😊
Ye kuch nya tha guru🙋🏻♂️
How can you change the name of u to x and then be sure that by only changing the name x-f(x) and u-f(u) are same and take out them common please enlighten me
Because we changed the limits of the integral too, x=f(u) maan ke humne limits bhi change ki hai, now it has become a new integral aur apna past bhul chuka hai, voh kuch aur ban chuka hai, it has become a different function. Usko ab tum kuch bhi bol sakte ho, kuch bhi rakho, t,u,x dosent matter as long as you change the limits.
dummy variable XD
Class notes ka question hai ye toh
Haven't studied Integration yet but i'mma still watch it cuz why not!?
Ho gya tha jo method apna use kiya vahi kiya... f(f(x)) =x se hint mil gya
Sir Set of 60 mein 11th ke chapters nahi padhate kya. Kyun ki meine aapke website pe dekha hain ki only 12th chapters. Please reply to my query.
Ab sahi hai👍
this isnt lamba at all infact i find this the shortest and most acceptable ans...no guessing...no questionable approach...pure math
Asan question dene lag gaye ap
1min laga 1st step me function ko bijective banane ki taraf socha or inverse ke lie think kiya to y=1-x bna
You give too much spoilers while presenting the Qn 😮💨.
I don't have any intent of being rude or anything like that.
I did it like this
We let y= f(x) .....eq1
Y=x-f(x)
f(x) =x-f(x)
f(x)= 2x
So integral of this expression will be 1/2017
yeh wala sawal kiya hua hai, pata nahi tha ki yeh ISI ka tha 💀
1st try mein hogya tha, sir ne hw diya tha humare
Kuch toh baat thi mujhme pura vedio dekh liya 11th ka hoke bhii
Beech mei karna chorr diya tha wapis start Kiya aur pehle se bhi maza aa rha hai
Pratham pengoria in yt : 🗿
Pratham pengoria in tg : 🐧+🤡
Bhaiya isme limit 0 se 1 hai kahi ye gamma function to nahi
Ab shi sawal dala😂😂
Bhaiya background please black hi rakho na, raat ko video khol li aur ankhe bahar aa gayi
ELEGANT
PURE CLASS
from intelligent guessing f(x)=1-x
then onwards It's ezz
Bas Intelligent guessing sekh kar jee dene ja raha hu
Hope for the best
bro f-1(x) ban ja rha hai from given conditions so f(x)=1-x apne ap ho ja rha hai
solved in 7 -10 mins and ans is 1/2017
for everyone saying "easy asf" taking f(x) =1-x , they are blatantly wrong, there lies infinitely many functions which will satisfy the given condition
one sunch function can be 1-x/1+x if am not wrong ,
the more general solution to the question can be deducing f(x) = f^-1(x)
which is what he did in the video , which is a beautiful solution .
unless you're in a exam like JEE or any other mcq type
do not assume functions if you cannot prove it.
brdr we didnt say there r other solns , we jus found one that satisfies the given condition and thats all we need , it doesnt matter if there r other functions cause they all will satisfy it
common bro be smart like an IITian dont be a mathematician here
@@RocketsNRovers haha!!! use that approach in any subjective exam , and you'll get straight zero even if you get to the right answer.
@@AnanyKumarRai subjective exam toh IIT ne 2005 me baand kar diya brdr .. aap kaha reh rhe ho
@@RocketsNRoverssun, math boards mai 100 numbers laana kuch badi baat nhi hai samjha aur vo banda video bna rha hai isiliye usne proper solution diya hai tu agar apne "1-x" wale method ko solution bolkr video agar post krega na toh comments mai kuch nhi bas gaali milegi aur apne aapko false satisfaction dena band kr accept that u were not able to solve the problem because assuming 1-x is not a solution in fact ye baat har bande ke man mai aayi hogi ki vo f(x)=1-x rakhde but only u were stupid enough to post it in comments as a solution
lmaoo f(x) = 1-x easy af
Abe derive krna hota hai observation obviously thik hai but asli math lover proper solve krta hai without assumptions ye physics nahi hai
@@Ayush-mg6xwBro his assumption is true but he cannot directly say that.
f(f(x))=x
f(x)=f-1(x)
So graph will be symmetric about y=x line, so f(x)=1-x,2-x,..
But f(0)=1,f(1)=0 so f(x)=1-x
SAME
@@Mathlover_1729this is wrong
@@VBM375 why bro?
Gopani Harsh ka sawaal dekha bhaiya?
Done done, waise nashe ache the subah tk tha
Chalo ab aya thik wala video
ek second ek second , ye saab kya kar rhe ho bhai , ye 5 min kese lag gye issme .... f(f(x)=x bola matlab baas ek chiz hai f(x)=c-x and f(0)=1 diya matlab f(x)=1-x , khatam na fir toh . integral after limit conversion is simply integral of t^2016 from 0 to 1 which is 1/2017
1)copy uthani nahi padhni chaiye warna tumhara IIT nahi ho sakta
2) 20 second se zyada laga toh tumhara IIT nahi hoga
hmm aur jis exam se ye question liya hai vo subjective hai aur agar tu us exam ko deta to pakka fail hota because vo maths lovers ke liye hai ye bakloli isi ke paper mai likhta 0 nhi bhai ko -ve marks milte
bro kisi problem ko respect bhi dete hai isse essa substituition bhi kiya ja sakta hai ye sikh not the fact ke 5 min lag gai to explain
Did orally..
From given info f(x) can be easily found to be 1-x.
Further, integration is simple..
😂 air 1 orally😂🫡
F(x) is not necessarily 1-x . It can be 1-x
any punjabi who pronounced substituion FUDU tp himself?
Ab bhi sahi sawaal daala hai bhaiya?
Ya fir jo baad mein daalna tha woh abhi daal diya?? 😂😂😂
Hogya!!! 2 min laga😊
1st
First