01 - What Is an Integral in Calculus? Learn Calculus Integration and how to Solve Integrals.

[@wandi2925]

I learned calcus without grasping it's importance and real life application. This man has just closed that gap in one lesson.

[@mikeearls126]

man, I have been fruitlessly looking for a video that explains why we want to know the area under a curve. I think if i had a teacher like you i could have done well in math in my school years....thanks a lot

[@hadireg]

Yeah maths love are very sensitive to the teachers' high skills indeed. and highly skilled teachers are really few for tha planet :)

[@kumarupendra]

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[@ZebecZT]

Finally my "why do we need all of this? Where do you need to use this? How is this useful" questions have been answered perfectly! I remember getting shouted at for asking questions like this. If only my teachers could have explained concepts like this. "There is no bad student, only bad teachers" - mr miyagi

[@mohammedhafiz8522]

I don't think that there is a better teacher than yourself in the world. You literally can teach rocket science to anybody. God bless you.

[@MathAndScience]

Thanks!

[@paulaenjaesambueno5305]

If only all teachers or schools were as good as you in explaining and has the same level of passion and empathy, then a lot more students would've taken courses with math and science. Sana all Let's not skip the ads on videos like this

[@joaquin-chw4924]

espeicalmente la forma clara que explica

[@jayrum7303]

Unbelievable the clarity he brought to the integral. So thankful!

[@ziondesignKreationz305]

That's really amazing

[@rangamurali7667]

No more confusion confounded, those in search of a clue, a path to understanding, YOU HAVE COME TO THE RIGHT PLACE. The teacher here Breaks down the concept of calculus beautifully incrementally or infinitesimally or by DeltaX , great lecture!!

[@isaacnicholaus4361]

This is absolutely amazing. You made me fall in love with math all over again, thanks for the great content.

[@Terrilynnmyron]

I listened to your lecture on integrals last night dumb-struck that I understood everything you covered. I say this because, I only went through Algebra 2 in school. You explained this subject so clearly I couldn't do anything but understand it. You have an extrordinary talent. I will be following you with out any doubt. Kudos

[@colinroach9276]

You are an excellent teacher. I wish I had you as my teacher and I would I loved math in the early days.

[@Painzerfaust]

Thank you so much for posting these educational videos, you make complex topics related to math and science so easy to understand a lot of the other youtube instructors are rather boring or you are just staring at a board with a bunch of numbers and diagrams, but having someone walk you through it, almost as if you were face to face, makes it much easier to understand and I am better able to stay engaged with an actual person standing there explaining things. I hope to use the full courses soon one day from your website and really buckle down and learn what I need to as I plan on pursuing electrical engineering. Thanks again!

[@kumarupendra]

kzbin.info/www/bejne/nGSpgJKkiNWGb7M

[@user-tn4mr8co5v]

From zero to professional in just half an hour. Thanks sir.

[@joaquin-chw4924]

lol

[@islandboy_grrspngbuildingy2331]

Thank you for breaking it down.. when you leave school for 10 years and come back to refresh it helps a lot. Keep up the great work cheers

[@verdaylkloss4844]

You are a wonderful soul... I am a Magistrate and civil judge, but I love watching your videos... I always wanted to become an engineer, but I couldn't understand calculus... Now, I realise that it's not my head, it must be my math teacher... I could understand whatever you are explaining... When I get bored I use to watch your videos... Perhaps one day, when I have a kid myself and he too doesn't have a good math teacher, I could teach him... Perhaps, I want to tackle higher mathematics to understand higher mathematics... But thank you, kind sir, from the bottom of my heart...

[@lkern6238]

If I had you as my high school teacher, I would have loved math. You resparked my interest in learning math again. You are an excellent teacher. Thank you!

[@borntobeaqueens8341]

You're an amazing teacher, thank you so much for giving me the opportunity to access free quality education that is not available in my country.

[@kumarupendra]

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[@abebalech6933]

You are so amazing. I am someone who left school for over than 40 years and I can understand you very well . What so amazing about you is that you don’t just explain the mechanical process of math , but you always give applicable examples about how this process is working in real life .

[@anaeleraph4278]

The difference is that you have a scientist teaching mathematics!

[@noursawan7898]

The best teacher ever... Like you explained this amazingly.

[@AyazAnjum-r6m]

I loved math but never opted for it because I always liked to know the methodological construction of the formulas that no one could explain with such an ease & clarity. God bless you!

[@zaidaminjares8057]

I am in awe by how well this was explained. Thank you so much!!!

[@jasonmarx9715]

yoh, I don't know what to say sir but what I think is that there is no one who could make me understand other than you. thanks a lot. watching from Namibia.

[@jasonmarx9715]

🥰

[@sobianazir4177]

Nobody can explain mathematics better than this gentleman. Gift of God for those who really want to learn mathematics !

[@chillydill4703]

If math was taught this way, which is a perfect example of how to explain complex topics, I'm pretty sure more people would have pursued science. What a great lecture, I really enjoyed this!

[@antoinedevldn]

One of the best explanation and demonstration ever.

[@obinnaejiofor4270]

Sir we love you. Thanks for explaining science in a way that is easier to comprehend

[@shakahalknday9473]

you are trying to touch our minds in every point , really super-amazing efforts..thanks from deep of my heart my teacher..

[@kumarupendra]

kzbin.info/www/bejne/nGSpgJKkiNWGb7M

[@alializadh5280]

by far the best math teacher, the best method of teaching. thank you

[@sammin5764]

The best of all, online and offline, because he puts his soul into explaining

[@mohammadahmedragab837]

❤️💙💜💜 you are brilliant amazing math teacher, and I love the way you connect topics with each other.

[@kumarupendra]

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[@andregomes2629]

I'm very happy for teachers like you to exist

[@suhaslatkar9007]

Sir,You are really great in explaining the use of finding the area under the curve to get the value of the force when the object was pushed with various amounts of force increasing and decreasing in the magnitude.Many thanks and congratulations. dr.s.r.latkar.India.

[@Nightcrawler58]

Sir the professor! You are such a gifted and awesome and one of a kind teacher. You definitely have a unique way of teaching. You are superb and O love you Sir. May God bless you!!!!

[@sekharandivakaran]

The best lesson on integral.High school kids must watch this.

[@blossom-qj2dc]

Sekharan Divakaran show me videos

[@Melan2005]

❤thank you very much for sharing video. I wish i had a teacher like you when i was younger my life would have been a lot much better. It clarified all the things i had learned in an instant ❤❤❤

[@hrperformance]

Yep this explanation was as good as everyone says in the comments. Fantastic video. Thanks so much for putting the effort in to make this video. Really really appreciate it

[@jacquelinekadzanja7559]

The best math teacher in the world

[@surajrajesh3318]

Loved the explanation completely. Just couldn't find any teacher like you.

[@suhaslatkar9007]

Your reasoning ultimately helps in getting the value of the total work done.Thanks. dr.s.r.latkar.

[@johnstrawb3521]

6:50 - this is where a moving image is so helpful. If you had an example where the angle theta slowly, visibly approaches 0 degrees as the cosine conversely increases along with f increasing, it would be clear even to 5th graders. // 14:24 - state the next 35-40 seconds at the beginning, too, please. It's always constructive to be able to state with this kind of clarity, where it is you're taking us. It also provides a framework within which the student is able to place everything that follows.

[@joelkgomo9245]

I love the introduction with example. Really make maths to be exiting and eliminate cramming and passing

[@algirdass40]

In 36 min an explanation was much better than at university in twoo months. Thanks.

[@danielpeters2584]

Fantastic presentation! I'm understanding it and motivated to learn more! Thank you!

[@europestudygoal5923]

I think, currently in this planet, I am the most frustrated Electrical Engineering Masters student Who really don't know how he came up to masters level of engineering. Every time, when I lose my inspiration, I saw his tutorial, ( word is not enough for expressing his teaching quality), I got my energy back again for learning and getting back to the track.

[@riverland0072]

wow, who is this guy!...you are just good. Thanks. will definitely pay for this kind of knowledge anytime

[@ijazmirza4790]

There cannot be a better presentation than given here. Thank you

[@jaideepankola]

Far and away the greatest teacher I've ever seen. Man..you're a blinding genius. You're blessed with this uncanny ability to make those seemingly impossible concepts look ridiculously easy. Take a bow🙏🙏👏👏

[@ndikhomangisa4502]

I'm thrilled by you I'm going to carry on with electric engineering thanks I wasn't get a good teacher like you.. That's why I quit maths and physics class..

[@mikeearls126]

Dude - you take the time to actually explain what this stuff means..incredible. You explain it in a way that is very understandable..

[@blindunknown2007]

I'm totally speechless. thank you very much for this video of yours.

[@aminomar7890]

I think it’s a good idea to transform your videos into text books, then translate them into other languages, the way you teach is really good (so easy to grasp means you worked hard) the first stages in education system is very important, they need teachers like you.

[@MathAndScience]

Thank you so much!

[@toptwinsfamily]

Almost 3 years of college study and after 30 years of life span, I am just able to understand, now Integration in Calculus that skill of teaching and transmision skill so powerful, mind blowing thank you Sir and my Salute that I feel realised.

[@kumarupendra]

kzbin.info/www/bejne/r5C7qIShmM2qqKc

[@heet69690]

Best explanation of integrals I have ever seen.

[@lyka5659]

wow this is the best video that explains the essence of integration in details. Thank you very much!!!

[@obayrafi2632]

Probably the best lesson ive seen so far

[@squadman3376]

After many videos, it's very clear that Physicists explain calculus way better that Math teachers. Because they use real life examples we can relate to. Thanks. !!

[@MathAndScience]

You are very welcome!

[@anaeleraph4278]

Squadman33 , you may be right but is it every physicists that can teach as clear as this. This guy is special!

[@MalamIbnMalam]

I also wish I had a teacher like this gentleman 10 years ago. Now that I'm going back to re-prepare myself mathematically for an MS in Comp Sci (Data Sci specialization)

[@kumarupendra]

kzbin.info/www/bejne/nGSpgJKkiNWGb7M

[@nayrbsworld3048]

i hope all prof in the world could teach like you do Sir. salute from Phillipines

[@99bobcain]

I was right with you till you set i=1, because in my world (software) indexes start with zero.. but I followed you through the lesson.. you're a good teacher.. thanks

[@ctsirkass]

@20:15 well, actually Δ is used for differences (eg.Δx = x2 - x1), for reaaaly small Δ we use d :)

[@mikeearls126]

i would love to know more about how these are used..in what ways in engineering and other areas....where we want to know the relationship between some x input and some output y and the area under a curve.

[@eccentricaste3232]

It can be used to predict the spread of diseases and Population growth. It can be used to predict something like financial growth Once you learn about the application. You wouldn't want to study anything else. Lol

[@maxlee3536]

I cannot say how much I appreciate this clarity and ability to explain from a teacher. Bless you.

[@sivikelwempendulo3700]

U are the best teacher ever,,, U just made me understand this whole thing👌👍

[@kumarupendra]

kzbin.info/www/bejne/r5C7qIShmM2qqKc

[@ArhamKhan05]

Sir you have done a great job by explaining it in a very beautiful way hats off to you thank you so much ❤

[@CoolName312]

I don't think anyone can draw the integral sigh as perfect as you do sir!

[@tintin6900]

I sincerely appreciate your patience!

[@Carlos-qz7ul]

Teaching maths and physics in one whole go. Incredible! ❤ I would call this teacher as Emeritus

[@MathAndScience]

Wow thank you so much!

[@keithjohnson3622]

You are one of the greatest, i come to know thanks again america you are a great country

[@bless_you_361]

This is incredibly useful! I can now understand the reality that integrals represent :)

[@bihterziyagil8481]

We haven’t learnt this in school yet.But if we don’t learn like this I’ll be very disappointed.You explained good for beginners like me in integral.I actually wanted to learn for qm because I couldn’t watch videos without understanding integral.

[@Bea_remembrance]

Great video. Your maths videos are the best on KZbin.

[@agrotizer476]

Truly awesome video. This is where the rubber meets the pavement.

[@JesusSavesRepent]

You sir are an angel amongst us… we appreciate all the effort you put into your videos. I feel I am ready to take a stab at Statics again - I failed Statics, because I couldn’t do centroids 🤦‍♂️

[@george4746]

An underrated gem.

[@travelaroundtheworld2531]

I am watching his videos in 2022 which is making my phd classwork easy. I am still in learning process due to these vidoes...Thanks...

[@samerallan6765]

THANKS A LOT!! The most intuitive way to explain the topic!

[@mlainlp]

Easy and clear. The best teacher!

[@playgirl7305]

What about if we had used perfekt circles instead of rectangles, would caculas still be the same?

[@danielmorency8798]

The best teacher ever

[@craig7878]

Best explanation I have ever seen!

[@wentaoguan]

helping freshmen in uni 8 years later. respect

[@rpsahi7277]

Beautiful teaching making things look so easy.

[@physicsforallanniefreeda8909]

Could you solve the area under the curve problem?

[@noeltraviimakail5629]

Real talk about integrals.💪👍👍👍

[@jabbathehutt489]

this guy is a fantastic teacher

[@rawanskaf4488]

one of the best explanation ever

[@leleiththelwell5478]

I am so thank ful...this was explained very straightforward ❤

[@panaishemurefu6424]

Great video boss, we need people like you.

[@MathAndScience]

I appreciate that

[@jeevanandham2528]

Excellent video.. Thanks for sharing your valuable knowledge.. Thank you sir..🎉🎉🎉

[@antoinedevldn]

This man needs a grammies for teaching!

[@kumarupendra]

kzbin.info/www/bejne/nGSpgJKkiNWGb7M

[@mryup6100]

Definitely one of if not the best explanation on integrals!

[@MathAndScience]

So happy you liked it! Jason, MathAndScience.com

[@casst346]

perfect teaching and explanation. Great job..

[@yibeyibe389]

What a teacher!! Wow!! thank you so much sir !!!!

[@cain1830]

Question: when you push on a wall, there is no movement, does that mean no work has been done? F times distance = work?

[@simpleman283]

correct. no movement = no work. Force was used, but the result is "net 0 force", because the wall itself has force & countered your push.

[@playgirl7305]

Would 'caculas' had developed differently if we had used triangles instead of rectangle boxes? I mean any triangle could tip on the top of the curve, the empty spaces triangles would tip down to the bottom X axis.

[@DonnieChoi]

What a great calculus lesson. Very clarifying.

[@filmic1]

Great teacher. Best explanation I've heard. Thanks.

[@adelabuidris6292]

this is the kind of basic knowledge you need before learning anything

[@VishalDesai711]

Have no words to describe this... awesome

[@agent_mc]

You actually did.

[@aayushisingh3897]

I'm a biology student but still i can understand this in a very clear way only becoz of the precise explanation in this video! Thank You!🤞

[@MathAndScience]

You're very welcome!

[@ndikhomangisa4502]

Good teacher indeed.. Thank you

[@wthomas5697]

This makes sense but how is the actual number arrived at? Does a computer have to add up all those little boxes? How did Newton do it?