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@bholanathpatelbholanathpat5766

2 ай бұрын

How to get you this types of problems sir. Please reply

The most accurate value of π was given by ramanujan as 355/113 , we can easily compare 355/113 < 22/7

@PiyushPant-gy8sd

2 ай бұрын

Ramanujan also derived a formula by which today's supercomputers has calculated the value of π after billions and trillions of decimal places

@ibneabbas_1999

2 ай бұрын

355/113 approximation is neither "most approximate" nor given by the great ramanujan. Further, 355/113

@ayush_5096

2 ай бұрын

@@ibneabbas_1999 Checkout Ramanujan π formula, It's derived from there.355/113 is the simplest accurate value one can remember at school level.

@pushkaladlakha2141

2 ай бұрын

@@PiyushPant-gy8sd Bro just to inform computers use newtons formula to calcualte and to be precise the binomial (1+x)^-n types idk exact but this is the method

@ibneabbas_1999

2 ай бұрын

@@ayush_5096 The ramanujan-π formula is an absolute beast and much beautiful than 355/113. However, the latter approximated ratio was originally developed not by ramanujan ( instead it was developed much years before him) . Further at school level , 355/113 is rarely used ( the simpler 22/7 is much more famous).

Here's the problem with indian education which makes us lack capabilities to research. Research doesn't mean solving questions that are there in a book and checking your solution from the back of the book. That is what indian system has put into minds of most people when it comes to problem solving. Research is to analyse the problem, and come up with a solution that no one else has worked upon. Its stupid to say MIT students could not solve this problem. Ofc they could integrate this. Its just that its not obvious for anyone to come up with this integral on their own. "I know more digits of pi" yes, but the problem was to come up with the integral in the first place. That is something no indian would be able to do (perhaps no professors either at anyplace)... That's the tough part, not solving the integral.

@shivankshrivastav

2 ай бұрын

Absolutely correct, our system has so much hyped the answer rather than the process and solution, that's why we lack in research field.

@AJ-fo3hp

Ай бұрын

You are 100% right, that is reason no innovation in IISc, IIT as compared MIT First of all comparing IIT JEE and MIT is meaning less. MIT intellectual property is countless, such a huge number of intellectual property rights. Well trained in JEE cracking is different from well education as well invocation mind Cracking JEE is well trained circus lion show Everyone is in unhealthy compitation(race) everyone busy, no time for improvement, no time to think.

@voyageintostars

Ай бұрын

@@AJ-fo3hp That's the problem with education in India now in my opinion. The unhealthy ratrace, competition, and online resources that claim to create "JEE crackers" and not "Intellectuals" causes students to miss out on the beauty of the subjects.

@user-ft5mq9no6n

Ай бұрын

sir second step by which rule.

@lokendrasinghchauhan9095

Ай бұрын

An Indian by the name,Madhav the first Indian to express pi as a series more than 700 years back. The man who should be credited to be the father of calculus. So please don't worry about Indian minds😂

Nice explanation of the concept and method involved thank you so much for your time and effort.

Me who remembers first 5 digits of pi 😅 : aao kabhi haveli pe

@RoseGautam-sw6ly

2 ай бұрын

Me who knows first 15 digit 🗿

@vivekchel

2 ай бұрын

@@RoseGautam-sw6ly me with this pdf www.hebrewpi.com/1MillionPi-Digits.pdf

@MokshitArora.

2 ай бұрын

I know upto first 9 digits . Thanks to Google π game in calculator

@Just_A_Simple_guy

2 ай бұрын

Bina digits aur calculate karke batana tha

@An_ony_mous

Ай бұрын

Same. I know 3.1415 but 22/7 is 3.142 so it is greater.

This is no derivation. Because it takes a problem to show it. If a student had to prove that pi

@aayushchhajed2630

2 ай бұрын

You could make any equation, with any limit, you should just be able to prove its positive and its value should be 22/7-π or some multiple of it, you dont need to remember that exact function

@bobbybannerjee5156

2 ай бұрын

@@aayushchhajed2630 True but that is not how you should do a derivation. This strategy is relying on memory and experience, not mathematics.

@ThorfinnBus

2 ай бұрын

​@@bobbybannerjee5156why not? We can take simple direct elementary functions such that we get 22/7- pi or pi - 22/7 and check whether the actual definite integral must be positive or not using graphs. This is a perfect derivation. At the end of the day, it makes sense doesn't it?

@bobbybannerjee5156

2 ай бұрын

@@ThorfinnBus How do you expect a student to remember an integral in order to show which is bigger of two given numbers.

@anantjha4270

2 ай бұрын

Actually, if we see what sir actually wished to convey how these two different problems were related and not exactly derive the solution...He just wished to make the students understand how any two branches of mathematics can be related and how beautiful this world of mathematics is...

Directly open 1-x power 4 as whole sq of 1+x2-2x then again open whole sq directly (1+x2 ek term 2x ek term)then spit in fractions done🎉

Approximate value of π was approximated by inscribing a unit circle inside a polygon Circumference of circle≤perimeter of polygon 22/7 is the perimeter of a polygon inscribing the circle π is the actual circumference of the circle Thus π

Bhannat sir You are really the best

Thank you sir 😊❤😊

Fantastic and Beautiful Prove . Hard touching concept❤❤❤❤

@mrnobody.080

2 ай бұрын

Heart Touching ❌️ Hard Touching ✅️

@Vihans612

2 ай бұрын

Hard Touching ☠

Fantastic Imagination

ek no sir mja a gya❤️❤️❤️❤️

Impressive.…job...

Good Question solved👍

Instead of this if we use macclaurin expansion of tan inverse x it will give value of pi as a summation that will better define it instead of an averaged value because pi is someting that can be only defined by a given summation its my opinion anyone can share his/her opnion in the comment box i will be happy to know more opnions on pi

This is quite an interesting question if someone doesn't know quite a bit of the digits of pi (which doesn't have much use remembering) then it'd be quite a challenging question to solve given, you dont know the intergral that you have to solve.

"Here education is like a food kept in a kitchen, not enriching the body of a person with nutrition." - Rabindranath Tagore (about one hundred years ago)

Nice tool for teaching

The square of the a 3 digit number is a 6 digit number.if the two numbers together use all of the digits from 0 to 9 except 3 ..what is the 3 digit numbe sir please give solution of this question

sir please off these glow when word glows we can not see clearly

i had memorised value of π upto 100 decimals so it is easy to compare as 22/7 is 3.142 and π is 3.1415926....

Still IIT students will go in a company founded by MIT students😂😂

@minecraftsmp1907

Ай бұрын

samay badlega😊

@technicalgamers7324

Ай бұрын

Because iitians are great employee and Mitians are greater employers

@New_hope_shorts

Ай бұрын

But Iitians making their unicorn 🤫

@Prince-9871

Ай бұрын

​@@minecraftsmp1907kab bhai IIt 1952 se hai. Ab kab ???

@BreadWithPasta

Ай бұрын

Nhi badlega​@@minecraftsmp1907

In IITs, the education is mainly focussed on application not fundamental research.Though there are research scholars there who don't enter there through IITJEE

Sir, ye prove krna Putnam Exam mein aaya tha( As far as i remember )

Thanks

Nice problem

Good information❤

But MIT students are better than IIT students

@anantjain5528

Ай бұрын

Keep dreaming bro, compare the syllabus once what they study in college 1-2 nd yera that we study in 11-12th, lol😂 baki Mit is good for research and Iit is best for engineering and entrepreneurship, avg iitian is smarter than a avg mitian mere cousin bhaiya hai Mit mai and dusre bhaiya IIT bombay mai mujhe pata hai unn dono mai kitna antar hai, ek mehnat se iit mai gaya ek paise se mit gaya 😅, mujhe dono se milta raheta hu andar se pata hai dono colleges ke barre mai mujhe, but tum kon hu ju compare kar rahe bacche 🤡

Sir i need full math course of math from beginning to advance level.Will u help me

Alternate method for the integration: We can also use binomial expansion on numerator then divide the resulting polynomial (of degree 8) by x²+1 using long division method then integrate easily and we'll get the same result (22/7)-π

@user-ub3tq6jg4f

2 ай бұрын

bro usme odd power bhi aayegi

@FalseNoob777

2 ай бұрын

@@user-ub3tq6jg4f hm toh?

@FalseNoob777

2 ай бұрын

@@user-ub3tq6jg4f usko bhi x² se toh divide kar hi sakte hena eg. x⁷÷x²=x⁵

Maturity is when you realize this sort of questions don't mean a thing..

Every thing is linked with everything in mathematics, that's why we called it jwells of all subjects.

When it comes to research work, there are universities in India that rank better than IITs

How the student had thought ki is function ka integration karke prove hoga ?

@user-tc6cw5rs7p

2 ай бұрын

Because usne tarun sir ka lecture dekha tha 😅.

@ThorfinnBus

2 ай бұрын

Bro we don't need to take this function particularly. We can use easy functions ourselves to get this same value and compare right? That's all. Like for eg, we can just take the second last step of this video's integration

There is no compition between MIT and IIT, MIT is 100 times better than IITs, IIT teach you how to become good employee or ceo MIT teach you how to become good founder and entrepreneur

@erenbeggarverypoor

Ай бұрын

Incorrect There are actually more startup in IIt then MIT. But IIT got resevation so it lack in many unit ,and iit don't have that much good of teachers or research centre. But you shouldn't compare student of IIt to MITS in many Instance IIt students won major Olympiad,many startup are run by them ,and most of them are CEO. And year almost every unicorn in Indian are iitian own.

@erenbeggarverypoor

Ай бұрын

Ex 56 unicorn (self owned company with billion dollar revenue) are of MIT vs 91 unicorn are of IItians And there are many big companies of iitian are there . Don't listen to unemployed youtuber who didn't get admission in IIT so they are badmouthing IItians.

@Prince-9871

Ай бұрын

​​​@@erenbeggarverypooraverage IT labour defending iit ,🤧

@erenbeggarverypoor

Ай бұрын

@@Prince-9871 just an average labour That didn't pass cbse trying to save his imaginary dreams.🤡

@erenbeggarverypoor

Ай бұрын

@@Prince-9871 I can see how much comment did you do to protect your downgrading steam.🤡

sir there is this integration which i have asked many people but no one is being able to solve this , it is not available online and even integration calculator shows error solving this. please please take this question , it has been more than 6 months but no one has given me its solution...... i have the answer but not the solution- the answer to the question is - Pi question- integration from -infinity to +infinity 1/(x^2-2xcotx+cosec^2 x) please sir solve this

Sir hats off to you kya jehar questions laye ho aur uska jehar solution ☠️💀 🔥❤

gurudev achha feel nhi hota jab teu bolta hai to please o sound hta dijiyega next video se

Option 3

How many iitian got nobel.amount,land infra, electric,food, library & per student spend on each student

@Prince-9871

Ай бұрын

They are it labour broo. 🤷 Just overrated fellows.🤦

@DemonGaming-oh6np

29 күн бұрын

How many Nobel you got

@DemonGaming-oh6np

29 күн бұрын

​@@Prince-9871your English is more overrated 🤷

Sir I have a ❤❤ Question I see a video of🎉🎉 mind your decisions 🎉🎉channel Where they said 3rd root of (-1) and (-1)^(1/3) Are different things Please iske upar video banaayiye 😢😢😢

@manishagupta587

2 ай бұрын

roots of unity x^3-1 ko factorize krlo into x-1)(x^2+x+1) and then solve the quadrqatic part to get the three cube roots of 1

@PrajwalV1729

2 ай бұрын

@@manishagupta587 Yaa I just slipped thank you And by the way Answer is 1,w,w²

wowwwwww😍

Maza aa gaya.

the reason why i remember pi 's value as 3.1415

I like it.…

Sir jee advanced 2021 ke paper 2 ka maths que. 5 bta dijiye

Good job but the integration method can only be understood by senior secondary students.

While MIT kept on giving to humanity IIT though tough hasnt much.

There was also a problem from a famous international olympiad(Putnam),the answer was π-22/7

Sir second step smj nahi aay

Abhi to function chal rha h sirji😂

There is no any fixed value of π its approximate or nearest value is 3.14

Question 2 min ka hai lekin chataai bichha kar 11 min laga diya

3.14

@kartikvishwakarma5919

2 ай бұрын

Correct 3.14

*Here's a Harder question 😶 (1) π = 355/113 (2) π > 355/113 (3) π Prove It 🤨

@destroyerkakkarot

2 ай бұрын

Option 3

@titashaque1062

2 ай бұрын

Option 2

@ThorfinnBus

2 ай бұрын

Make an integral such that 355/113- pi comes that's all

@BabluDey-vt7fb

2 ай бұрын

@@ThorfinnBus maybe there are some other methods (EASIER)

@pulkit935

Ай бұрын

​@@ThorfinnBusthe audacity to say that's all

Wait kya ye obvious nhi hain kyunki hame pata Hain ki 22/7 = 3.142 aur π = 3.141

@RoseGautam-sw6ly

2 ай бұрын

Questions me bola gya tha ki calculus se solve Karo derive krke. Ye jo hame value pata hai vo bhi to kahi na kahi se derive karke hi aayi hogi

@_soyel786

2 ай бұрын

Wese tum itne sure kese ho ki π ki value 3.141 hi hota hai?

@PS02FF24

2 ай бұрын

Bhai calculator mai bhi check kr skte ho π = 3.1415 But 22/7= 3.1428

Use wallis theorem

But here..... pi is the formation redian..... in this integral........

I want to skip intigral calculus will it be good for NDA aspirants of arts background....

@erenbeggarverypoor

Ай бұрын

Naah Just learn basic formula That would be enough

Love you sir from pakistan

03:58 x-1 is not equal to 1-x. Wut u doing?? Please someone explain to me..

I memorised pi = 3.1415926535897932384626433832795.. when I was in grade 7. That time the calculator in Windows 95/98 had these many digits after decimal 😅

in science its never failure

Sir like paid batch please make offline batch also

MIT is far better in all sorts of education facilities. It has no reservation schemes like IITs do where 50% seats are taken.

Haa maine iska video dekaa hai

Math ke hero mera question hai

How can someone comeup with the integral part?? Anyone can fo this integration.you fid this because You already knew it .

Iit continue making hard problems while mit students solve most of the word problems.

Parr humme ulta jaana hai. Humein function pataa hi nahi hai.

द बेसिक डेफिनेशन से भी ज्यादा पी रेडियम इस इक्वल टू 180 डिग्री

Third one is correct 😊

Sir Pin my comment: It's known as Dallzel's integral it is the work of him appreciated

himanshi world channel ne kal face revel krdiya

Sir according to me its not a valid solution, its a kind of coincidence. How can the solution be developed if one doesn't have an idea of the integral?

I could just do calculator

Jee mains 6 April shift 2

@idkdikdidkd

2 ай бұрын

mains mai aaya tha kya ?

Option 1 and 3

2

π = 3.14159..... 22/7 = 3.142857.... Simply by comparing we can say π

Pata nahi kyoun, Par maine 11th mei hi maths chod ke physical education liya tha kyounki maths mere samajh se bahar thi. Par aaj mai ye maths ki videos kyoun dekh ra hun ? Jabki meri samajh mei kuch nahi aa raha. Utha le re bhagwaan ab to utha le.

Hello sir

pi to three decimal places is 3.141, 22/7 is 3.142; clearly pi is smaller than 22/7.

@Shogun507

2 ай бұрын

But to answer that, one needs to be aware of the actual value of pi and 22/7. Tbh, who even remembers the actual value of pi? We take it as 3.142 after rounding while the actual value as you said is 3.141.

What absolute Garbage. The true analysis is not about solving this integral,which is mundane and anyone with a practice will be able to do that. The true logic is how to come up with the problem in the first place. How did you expect anyone to remember that "integral question"? Where is the analysis part? In an analytical question you're supposed to start with assumptions of known fact,theorems and factual analysis. How did anyone would remember that mumbo jumbo?

@redeyexxx1841

Ай бұрын

Exactly. How did that integral come out from absolutely nowhere?? He's like asking people to remember that as some standard result. Like wtf would anyone remember that?

@abhiramreddy1598

Ай бұрын

I was thinking same. I clicked on this video thinking how is he going find the equation to solve that? But here he just came up with an integral without any explanation 😂..

@Kimhyori_

Ай бұрын

Yeah the first question he gave was like the easiest thing to solve if somebody knew the digits of Pi? I hate that Indians try to complicate every shit? In a analysis one would just compare the digits of Pi with the decimal value of 22 / 7! Its shit really, faulty useless logic.

This is not a good apprpach for that problem though

yet mit is more successfull than iit

@user-zp6vs5rv2y

Ай бұрын

No😂

@TheDecodedMatter

Ай бұрын

​@@user-zp6vs5rv2yNo ? Are you drunk ? All IITs combined are nowhere near MIT or Harvard or Stanford.

@Kimhyori_

Ай бұрын

​@@TheDecodedMatterTrue that! It's really sad to see millions of students competing and putting their mental health in risk for a University that barely comes in the top 50 list of engineering colleges and is not even there in the 100 top universities! Sometimes I think it is better if students in India who have a real passion for research should just focus on having a balanced life In High School from 9th to 12th along with a few extra curricular and something that shows their passion and apply for scholarship and just study abroad in reputed universities. It's a shame that India does not put emphasis on research as much as it puts in engineering.

@user-zp6vs5rv2y

27 күн бұрын

By iit or mit I mean students...the facilities you get in mit is much better than iit but students should a bit lower corresponding to the facilities they get

@user-zp6vs5rv2y

27 күн бұрын

Anyway we should focus on the problem not comparison

Air 1 join mit

Sir it was basic question I solve logically

@BabluDey-vt7fb

2 ай бұрын

How?

@gw_pavitra2331

2 ай бұрын

@@BabluDey-vt7fbjust by comapring

@BabluDey-vt7fb

Ай бұрын

U mean by checking values ???​@@gw_pavitra2331

What's pi ?

I dont know why I am feeling proud

Aap kaun si mit mei ho?

Sir :Integration kat kat ho raha hai. Student be like:yeee ma yehvkya baaat karta hai yaaar😂😂

So high ego

Kool iit wins

Less than right

Anyone love chess??

@parvindernogi6264

Ай бұрын

Yes, waiting for Gukesh vs Hikaru

@venom6221

Ай бұрын

What's your elo?

@Darkfish16-dj7gm

Ай бұрын

@@venom6221 Fide 1716 standard

Pie is 3.141 and 22/7 is 3.142 so pie is less

@sreevathsan246

2 ай бұрын

Pi

@pavansaiharshith2364

2 ай бұрын

@@sreevathsan246 ok bro chill

@sankalp104

2 ай бұрын

Calculator se calculate krke koi bhi krle😂

@pavansaiharshith2364

2 ай бұрын

@@sankalp104 Its not calculated Mr It's basically Common sense 🤪 in our 7th standard teacher gave value of π upto 3 decimals So it's a piece of common sense 😃

@sankalp104

2 ай бұрын

@@pavansaiharshith2364 bro it seems ur in seventh standard till now-

Unknown KZread teacher comparing mit🥶 and iit🤡

@erenbeggarverypoor

Ай бұрын

A,b,c,d sunna jara 🤡

@erenbeggarverypoor

Ай бұрын

Teri sakal hi failure vali hai😂😂😂💀

@erenbeggarverypoor

Ай бұрын

It's just fact Iit have more good startup earns more then MIT.

@erenbeggarverypoor

Ай бұрын

All the best for giving 50 lakh money in fees to MIT as a fees🤡

@abhirana9215

Ай бұрын

​​@@erenbeggarverypoorBhai kha MIT or kha iit... comparison hi ni h... Noble prize ek b ni mila iitians ko ...or mit ne 100+ noble prize winners de diye hain ...kis hwa mein ho aap? MIT research krna sikhati h jo mankind k liye useful hai. Jo ki obviously startup krne se to bhut bdia kam h... Akele startup se comparison ni kr skte bhai aap... quality of education b dekhlo vha ki

Aata to aapko bhi nhi hoga 1st time me aap bhi khi se chpka liye hoge to apne aap ko KZread pr aake genius sabit krne ki logo ko aadat pad gy hai itne bade genius ho to aap bhi mit se paas out hote kisi chapri college se to nhi 😂😂