Integration के रहस्य the invention which changed the mathematics
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- Опубликовано: 8 фев 2025
- Integration is a way of uniting the part to find a whole. In the integral calculus, we find a function whose differential is given. Thus integration is the inverse of differentiation. Integration is used to define and calculate the area of the region bounded by the graph of functions. The area of the curved shape is approximated by tracing the number of sides of the polygon inscribed in it. This process known as the method of exhaustion was later adopted as integration. We obtain two forms of integrals, indefinite and definite integrals. Differentiation and integration are the fundamental tools in calculus that are used to solve problems in math and physics. The principles of integration were formulated by Leibniz. Let's move further and learn about integration, its properties, and some of its powerful techniques.
Integration is the process of finding the area of the region under the curve. This is done by drawing as many small rectangles covering up the area and summing up their areas. The sum approaches a limit that is equal to the region under the curve of a function. Integration is the process of finding the antiderivative of a function. If a function is integrable and if its integral over the domain is finite, with the limits specified, then it is the definite integration.
If d/dx(F(x) = f(x), then ∫ f(x) dx = F(x) +C. These are indefinite integrals. For example, let f(x) = x3 be a function. The derivative of f(x) is f’(x) = 3x2 and the antiderivative of 3x2 is f(x) = x3
We are given a derivative of a function and are asked to find its primitive, that is, the original function. Such a process is called anti-differentiation or integration. If we are given the derivative of a function, the process of finding the original function is called integration. The derivatives and the integrals are opposite to each other. Consider a function f(x)= sin x. The derivative of f(x) is f'(x) = cos x. We say that the function cos x is the derived function of sin x. Similarly, we say that sin x is the anti-derivative of cos x.
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Integration के रहस्य the invention which changed the mathematics
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Change is the only thing which is constant in this universe 🤯💥💯
Means everything can be explained by differentiation?
No, change isn't constant too.
But one day this whole universe will end then there will be no change and only energy will exist
Numbers is the only thing which is constant
Similarly time bro .............mai marjava mai mrr java......
Integration is addition+ multiplication
Differentiation is difference+ division
💥💯
Area... Rate change ..
@@IsaacNewton8182x ka diff karoge to 2 ayega MATLAB ye x vairbale hai yaha kuch bhi daloge wo 2guna teezi se badega
Integration area under curve batata hai hn yah pura sahi nhi hai par kh sakte hai addition aur multiplication hai limits ka agar hame non uniform distribution ki cheeze di gyi hai to aur ab graph me area kabhi negative nhi ho sakta
Abe @sidrakhan9793 nashe kar liye hain kya??
Difference is stand for substraction
dy/dx y= Derivatives +d/dx integration = chutiyapan
🗿🗿🤣🤣
Really appreciated work man
Pcm se hu and jab Maine puri video dekhi kya knowledge Mila h ❤️🥀🥀 thanks
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Love uuu sir..
Myths ?
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No
I’m TelecomEngineer@50 yrs…..Understood applications then without much in-depth knowledge but appreciate your knowledge, research and presentation skills. Mathematics has changed and made humans ever powerful . Moreover , Mathematics is there present in nature itself. It’s a resource gifted by God to humans, similar to food, water & communication skills. Our lives r surrounded 24x7 by juice (results) of Maths. All love n respect to people who contributed to Mathematics and hence to Physics/Dynamics. Salute.❤
I studied it in graduation but nobody explain me the real meaning and it's application.. i knew it today from you sir. You r great
sir isiliye to apki naukri nhi lagi
ye sab kuch to basic baat hai jo jee advance ki taiyaari me padhai me padhaya jaata hai
Bruhh how did you pass your exams sus
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@@princemishra4257tereko kase pta inki naukri lagi or tere esa attitude esa lagta ha Teri bhi naukri nahi lagni
Mai school mai tha arr mujhe basic mathematics padhna tha chahta tha school se aake ...
Arr jab mai ghar aaya arr yt khula to ye video home page par hi tha ....
Really yt ne mera mann ko padh liya
Aisa mere saath ab ki baar k saath do bar hua ha yt mai ..
Most awaited topic for me as a Engineering student ❣️
Cutiyapan subject applied mathematics practicali kuch kam ka nahi hai engineering me 😢
Aaj college me integration hi padra tha statistics mai aur ab metro me aate hue apki video dekhke aur clear hogya integration ka concept ✨
I'm johan
Just wonderful video plz make more like this
You are great sir 💯
Today I feel and understand what's INTEGRATION real meaning is 💥💯
Integration matlab + korna sum korna kisibhi object ka area volume ka dx korke uska + koorna
i scored above 80 by calculating derivation and integration in college degree but today iknew real maning of this 😅
Such a complex subject is explained with simplicity. Such explanation attracts even people who are not interested in learning math. I don't know why most of the teachers and professors are not able to bring such simplified explanations before getting into details.
You said right 👍
Sir.. Agar kisi nae mujhae integration aur differentiation ka practical use btaya hota.... Toh us time mujhae woh boring nai lagta.... Par ab iskae baarae mae pta chal gya hai... Thank you sir.. 😇
Bhaiya you are awesome and give us more knowledge and fascinating towards science. You deserve more sucess on RUclips. Thanks 👍♥️
Another great and important topic. Thanks ☺️
Kudos To Sir Isaac Newton 🙌
People like you must be in every school & colleges as teacher , or yr video must be used in every school & colleges . People just solve maths without knowing the intuition & intuition is key that whole india miss , if india start learning maths in a right way , then in just 5 to 10 years India will reach 50 to 100x interms of science & technology
Thanks bro.
Mujhe kafi madad hui concept ko samjhmne me.
Waoo sir its amazing, really appreciated your style of explanation 👌👌👍😊
Calculus is one of my fav section in mathematics!
This channel is deserve more subscribers ☝️
Your video got recommend to me after years
Yess i have like video, supperr explanation about mathematical trick about integration, differences.... 👍👍👌👌
Aaj integration ka asli matlab pata chala thank you bro, ye sab school college me kyu nhi batate.... Please engineering calculas ke upar video banao
Great job to explain the important topics we have always studied integration but don't know what is it .....but feeling well to know it.....
Your videos always make our understanding stronger towards mathematics
now i understand why i have calcules in my 12th syllabus thanks for this video ❤️❤️❤️
Thanks Bhai aap ne muje bacha liya 😅✨
Explanation is very simple and interesting.
Area under the curve is easy topic for me 🙋
Can you please help me ? 🥺
You background music makes your videos interesting
Keep it up ❤️❤️❤️❤️
bhai apka knowledge toh Kamal ka hai bhai..😁 💯💯 btw thank you bhot knowledge wale videos and topic hote hai apke ❤️
Sir unbelievable knowledge
Sir love and respect from Pakistan, Taxila (Taxashila)
Me too from pak
which class are you in?
@@Mubashar783
I am a student of BS and a teacher also.
Just marvellous....What a way of presenting the calculus in a very simple way ........🥰🥰🥰
I am in bsc 1 year and studing differential and integrals calculus
Kya explanation ki sir ...feel dila di .thanks
Engineering ka Brain ...❤️💥
My favorite RUclips channel =science and myth
Boring topics ko insteresting trike se pdhana literally tmse sikhe bhai koi. Aj live example dekh rha hu is chej ka.
Keep it up bro.
Love u Bhai asa agar mere teacher samjhate to mere +2 math me only pass na hota sure🤒🥺🥺
Sir Apne mera math ke dekhne ki najariya hi badal diye thank you so much sir
Great teacher 👍
You are better than my BSC maths teacher 😅
Bhai me bio ka student rha hu ..but phy se pyar rha h ...isliye aapka vedio dekha ...agr ek bio wala bhi ise samjh le to ...aapka yh gyan sarthak h ...thnks bro
Bahut khub sir isahi aur video har roj bnaye ga
sir, I don't understand many things even as the president of Russia but listening to your videos and your words I understand many things I understand the calculas 👏🙂💖🇷🇺
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Ohhh Bhai 😮😮
Proud to be a Maths Student
Very informative video on integration 👍🏻👍🏻
Now I can score full marks in integration,
Thank you ❤
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Your videos are always beyond the limits.
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Bro Please explained the Mathematics chapters sets square roots probility data handling words problem algebric secrets short methods and matrices in interesting way for the teenagers btw your videos are really interesting and full of information😊
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@@FaizanAhmad-xi9iz bro this chapters doesn't need any explanations. These are as easy as hell
Though these chapters are very easy but there are various high level probability questions that you will struggle to solve.
@@anamikadaschoudhury9479bro said probability is easy,u will shit ur pants when u se ethe real probability theory lmao
You make me to love with DIFRENTIATION AND INTEGRATION 😢😢
THANKS BHAI
EXPLAINED CLEARLY
Most high quality content on your own field
🧠🧠🧠🧠🧠💡
bohot badiya explain kiya bahi
greate contribution 👍 now a days thou are increasing your information density and also very much effort
This is real Science channel on RUclips
Superb helped a lot to understand the concept of calculus 🙏
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Thumbnails of this channel are at another level.
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And you need to explain more higher-complecated mathematical problems...
msc physics at iit mandi
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Ye video ko engineering college me compulsary Krna chahiye.. 👏
Exactly bhaiiiiii😃
Great explanation 🎉
Really nice sharing of concept👍
Very lucid, kudos to you.
Science and myths ♥️♥️
👍
Relation and function
Love math and quantum physics 😊😊
Liked your videos just because of your thumbnail design ❤
Thanks for explanation 👍 🙂
It is only introduction of integration.Sir,We need a detailed video on application of calculus in Quantum Physics.
I love mathematics in fact, Maths stays in my soul......
Really interesting🕵️... Plz make such kind of videos related to boring 😵topics . So that students can maximize their potential 😃. And feel science in a better version ☺️.... Great job 👍🏻......
Which boring topic ?
Boring not for me 😄 but I've seen a lot of these days , thinking of many students is MATHS is boring😩. that's why I gave this idea 😃.
sahi kaha.
Amazing video...... Please make video on partial differentiation......
Our Modern World is lying on shoulders of the great historical Scientists like Sir Isaac Newton ... Imagine their Strength ❤❤😢
Buht khub
Yr kitana aacha video h thumbnail aur aacha banwo bhut view aayege gem 💎 hai ye video
Background sound gives me goosebumps 😮😅
Now I am learning application of integration (area bounded regional) in my coaching
Zabardast explanation sir ❤❤ from Pakistan
Sir pls make a video on linear elzebra
Because it's in our college sullybus and we don't know nothing about it's use and history and we also don't know the real consept of linear elzebra so pls make a video
Thumbnail tagda banaya bhai😂
AI
@@Mubashar783 bhai tool ka name bata do
@@Vichitra_Facts ek meri bhi madad kr do boht zaroort he tumhra hi faida hoga
Aaj hi hamara differentiation class topic start hua
Bhai best video
Very good explanation brother 👏... keep on working 💪
Usefull video for student
Jitna error aa raha hai utna hi space hai- matlab ager jitna rectangular part bahar hai utna he andar ki side space hai.
Sir pls make video on use of ramanujan infinite series in physics 🙏
You are great sir🙏
Next Topic on partial derivative.....please
I am preparing for jee and he explains inte. and diffe. in an interesting way which made my concept crystal clear.
What is difference between uniform and constant.?.
Bro, please make a video upon how to solve Questions of Integration specially for Class-12 maths very quickly. I'm and I'm sure many of like me would be facing the same problem as Board is approaching.
Thumbnail was badass!!
your knowledge comes in my dreams