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

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  • เผยแพร่เมื่อ 25 ส.ค. 2024

ความคิดเห็น • 290

  • @wandi2925
    @wandi2925 2 ปีที่แล้ว +50

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

  • @mikeearls126
    @mikeearls126 5 ปีที่แล้ว +111

    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
      @hadireg 4 ปีที่แล้ว +4

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

    • @kumarupendra
      @kumarupendra 3 ปีที่แล้ว

      th-cam.com/video/f3FO_nSpS9Q/w-d-xo.html

  • @ZebecZT
    @ZebecZT 2 ปีที่แล้ว +11

    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

  • @paulaenjaesambueno5305
    @paulaenjaesambueno5305 3 ปีที่แล้ว +20

    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
      @joaquin-chw4924 2 หลายเดือนก่อน

      espeicalmente la forma clara que explica

  • @mohammedhafiz8522
    @mohammedhafiz8522 3 ปีที่แล้ว +7

    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.

  • @jayrum7303
    @jayrum7303 ปีที่แล้ว +8

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

  • @isaacnicholaus4361
    @isaacnicholaus4361 2 ปีที่แล้ว +17

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

  • @rangamurali7667
    @rangamurali7667 ปีที่แล้ว +2

    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!!

  • @colinroach9276
    @colinroach9276 2 ปีที่แล้ว +8

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

  • @Terrilynnmyron
    @Terrilynnmyron 6 ปีที่แล้ว +5

    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

  • @borntobeaqueens8341
    @borntobeaqueens8341 6 ปีที่แล้ว +36

    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
      @kumarupendra 3 ปีที่แล้ว

      th-cam.com/video/f3FO_nSpS9Q/w-d-xo.html

  • @user-tn4mr8co5v
    @user-tn4mr8co5v 2 ปีที่แล้ว +8

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

  • @jasonmarx9715
    @jasonmarx9715 ปีที่แล้ว +1

    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.

  • @verdaylkloss4844
    @verdaylkloss4844 3 ปีที่แล้ว +1

    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...

  • @Painzerfaust
    @Painzerfaust 4 ปีที่แล้ว +4

    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
      @kumarupendra 3 ปีที่แล้ว

      th-cam.com/video/f3FO_nSpS9Q/w-d-xo.html

  • @zaidaminjares8057
    @zaidaminjares8057 3 ปีที่แล้ว +6

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

  • @noursawan7898
    @noursawan7898 10 หลายเดือนก่อน +1

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

  • @abebalech6933
    @abebalech6933 3 ปีที่แล้ว +1

    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
      @anaeleraph4278 3 ปีที่แล้ว +1

      The difference is that you have a scientist teaching mathematics!

  • @antoinedevldn
    @antoinedevldn 5 ปีที่แล้ว +20

    One of the best explanation and demonstration ever.

  • @lkern6238
    @lkern6238 ปีที่แล้ว +1

    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!

  • @sammin5764
    @sammin5764 5 หลายเดือนก่อน

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

  • @obinnaejiofor4270
    @obinnaejiofor4270 8 หลายเดือนก่อน +1

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

  • @mohammadahmedragab837
    @mohammadahmedragab837 3 ปีที่แล้ว +6

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

    • @kumarupendra
      @kumarupendra 3 ปีที่แล้ว

      th-cam.com/video/f3FO_nSpS9Q/w-d-xo.html

  • @joelkgomo9245
    @joelkgomo9245 10 หลายเดือนก่อน

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

  • @jacquelinekadzanja7559
    @jacquelinekadzanja7559 2 ปีที่แล้ว +1

    The best math teacher in the world

  • @islandboy_grrspngbuildingy2331
    @islandboy_grrspngbuildingy2331 ปีที่แล้ว

    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

  • @chillydill4703
    @chillydill4703 4 หลายเดือนก่อน

    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!

  • @sobianazir4177
    @sobianazir4177 ปีที่แล้ว

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

  • @shakahalknday9473
    @shakahalknday9473 6 ปีที่แล้ว +12

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

    • @kumarupendra
      @kumarupendra 3 ปีที่แล้ว

      th-cam.com/video/f3FO_nSpS9Q/w-d-xo.html

  • @Melan2005
    @Melan2005 ปีที่แล้ว +1

    ❤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 ❤❤❤

  • @andregomes2629
    @andregomes2629 4 ปีที่แล้ว +1

    I'm very happy for teachers like you to exist

  • @suhaslatkar9007
    @suhaslatkar9007 15 วันที่ผ่านมา

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

  • @sekharandivakaran
    @sekharandivakaran 6 ปีที่แล้ว +8

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

    • @blossom-qj2dc
      @blossom-qj2dc 6 ปีที่แล้ว

      Sekharan Divakaran show me videos

  • @suhaslatkar9007
    @suhaslatkar9007 15 วันที่ผ่านมา

    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.

  • @danielpeters2584
    @danielpeters2584 3 ปีที่แล้ว +3

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

  • @Nightcrawler58
    @Nightcrawler58 9 หลายเดือนก่อน

    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!!!!

  • @riverland0072
    @riverland0072 6 ปีที่แล้ว +4

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

  • @aminomar7890
    @aminomar7890 ปีที่แล้ว +2

    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.

  • @ndikhomangisa4502
    @ndikhomangisa4502 2 ปีที่แล้ว

    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..

  • @ijazmirza4790
    @ijazmirza4790 4 ปีที่แล้ว +1

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

  • @antoinedevldn
    @antoinedevldn 5 ปีที่แล้ว +32

    This man needs a grammies for teaching!

    • @kumarupendra
      @kumarupendra 3 ปีที่แล้ว

      th-cam.com/video/f3FO_nSpS9Q/w-d-xo.html

  • @blindunknown2007
    @blindunknown2007 4 ปีที่แล้ว +3

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

  • @europestudygoal5923
    @europestudygoal5923 2 ปีที่แล้ว

    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.

  • @alializadh5280
    @alializadh5280 ปีที่แล้ว

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

  • @heet69690
    @heet69690 11 หลายเดือนก่อน

    Best explanation of integrals I have ever seen.

  • @MalamIbnMalam
    @MalamIbnMalam 4 ปีที่แล้ว +1

    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
      @kumarupendra 3 ปีที่แล้ว

      th-cam.com/video/f3FO_nSpS9Q/w-d-xo.html

  • @algirdass40
    @algirdass40 6 ปีที่แล้ว

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

  • @hrperformance
    @hrperformance 3 ปีที่แล้ว +2

    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

  • @surajrajesh3318
    @surajrajesh3318 2 ปีที่แล้ว

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

  • @toptwinsfamily
    @toptwinsfamily 3 ปีที่แล้ว

    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
      @kumarupendra 3 ปีที่แล้ว

      th-cam.com/video/y_XwQkchwrE/w-d-xo.html

  • @tintin6900
    @tintin6900 4 ปีที่แล้ว +1

    I sincerely appreciate your patience!

  • @obayrafi2632
    @obayrafi2632 5 ปีที่แล้ว +1

    Probably the best lesson ive seen so far

  • @keithjohnson3622
    @keithjohnson3622 2 ปีที่แล้ว

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

  • @rpsahi7277
    @rpsahi7277 3 หลายเดือนก่อน

    Beautiful teaching making things look so easy.

  • @nayrbsworld3048
    @nayrbsworld3048 3 ปีที่แล้ว

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

  • @mikeearls126
    @mikeearls126 6 ปีที่แล้ว +2

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

  • @JesusSavesRepent
    @JesusSavesRepent 9 หลายเดือนก่อน

    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 🤦‍♂️

  • @jabbathehutt489
    @jabbathehutt489 2 ปีที่แล้ว

    this guy is a fantastic teacher

  • @ArhamKhan05
    @ArhamKhan05 ปีที่แล้ว

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

  • @bless_you_361
    @bless_you_361 2 ปีที่แล้ว +1

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

  • @leleiththelwell5478
    @leleiththelwell5478 5 ปีที่แล้ว +2

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

  • @CoolName312
    @CoolName312 ปีที่แล้ว

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

  • @ndikhomangisa4502
    @ndikhomangisa4502 2 ปีที่แล้ว

    Good teacher indeed.. Thank you

  • @samerallan6765
    @samerallan6765 2 ปีที่แล้ว

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

  • @rawanskaf4488
    @rawanskaf4488 2 ปีที่แล้ว

    one of the best explanation ever

  • @sivikelwempendulo3700
    @sivikelwempendulo3700 4 ปีที่แล้ว +1

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

    • @kumarupendra
      @kumarupendra 3 ปีที่แล้ว

      th-cam.com/video/y_XwQkchwrE/w-d-xo.html

  • @torpedoe1936
    @torpedoe1936 ปีที่แล้ว

    This is pure gold !!! Thanks

  • @travelaroundtheworld2531
    @travelaroundtheworld2531 2 ปีที่แล้ว

    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...

  • @casst346
    @casst346 ปีที่แล้ว

    perfect teaching and explanation. Great job..

  • @Bea_remembrance
    @Bea_remembrance 7 ปีที่แล้ว +4

    Great video. Your maths videos are the best on TH-cam.

    • @agrotizer476
      @agrotizer476 2 ปีที่แล้ว

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

  • @yibeyibe389
    @yibeyibe389 4 ปีที่แล้ว +1

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

  • @craig7878
    @craig7878 ปีที่แล้ว

    Best explanation I have ever seen!

  • @squadman3376
    @squadman3376 3 ปีที่แล้ว

    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
      @MathAndScience  3 ปีที่แล้ว

      You are very welcome!

    • @anaeleraph4278
      @anaeleraph4278 3 ปีที่แล้ว

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

  • @Max-qm5wt
    @Max-qm5wt 3 ปีที่แล้ว

    Easy and clear. The best teacher!

  • @lwaz787
    @lwaz787 5 หลายเดือนก่อน

    fascinating overview of integrals ever

  • @jaideepankola
    @jaideepankola 4 ปีที่แล้ว +1

    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🙏🙏👏👏

  • @99bobcain
    @99bobcain 2 ปีที่แล้ว

    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

  • @noeltraviimakail5629
    @noeltraviimakail5629 ปีที่แล้ว

    Real talk about integrals.💪👍👍👍

  • @danielmorency8798
    @danielmorency8798 ปีที่แล้ว

    The best teacher ever

  • @bellardosilacan3432
    @bellardosilacan3432 ปีที่แล้ว +1

    Perfect illutration sir thanks

  • @bihterziyagil8481
    @bihterziyagil8481 3 ปีที่แล้ว

    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.

  • @jeevanandham2528
    @jeevanandham2528 7 หลายเดือนก่อน

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

  • @george4746
    @george4746 5 ปีที่แล้ว

    An underrated gem.

  • @johnstrawb3521
    @johnstrawb3521 2 ปีที่แล้ว

    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.

  • @Carlos-qz7ul
    @Carlos-qz7ul 2 ปีที่แล้ว

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

  • @jibranhussain6067
    @jibranhussain6067 3 ปีที่แล้ว

    sir your way of teaching is great

  • @averagehooligan620
    @averagehooligan620 ปีที่แล้ว

    You saved many lives

  • @rehanachughtai9104
    @rehanachughtai9104 ปีที่แล้ว

    His is a great instructor.

  • @bhyaas7650
    @bhyaas7650 3 หลายเดือนก่อน

    Thank you very much.....just loved it

  • @user-fp7tk8gg7c
    @user-fp7tk8gg7c 9 หลายเดือนก่อน

    This is so relieving❤. Thank u so much

  • @glennrasmussen56
    @glennrasmussen56 10 หลายเดือนก่อน

    Thanks, finally a good explanation

  • @filmic1
    @filmic1 6 ปีที่แล้ว +3

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

  • @ElenaDelgado_EarlyShow_EHS2024
    @ElenaDelgado_EarlyShow_EHS2024 ปีที่แล้ว

    You are an amazing teacher❤

  • @dougthegreat1808
    @dougthegreat1808 2 ปีที่แล้ว

    EXCELLENT DISCOURSE!!!!!!!!!!!!!!!!!!!!!!!!

  • @mattjames7272
    @mattjames7272 2 ปีที่แล้ว

    Your videos are so good. Thank you!

  • @mosesmaura8768
    @mosesmaura8768 2 ปีที่แล้ว

    You are always the finest...

  • @reyazmantoo1586
    @reyazmantoo1586 หลายเดือนก่อน

    Finally got it,thanks sir

  • @dijonstreak
    @dijonstreak 2 ปีที่แล้ว

    awesome...i FINALLY got it. !! THANLS YO YOU !!! grrrreat job demo..clear step x step. SO thankful. !!

  • @joaquin-chw4924
    @joaquin-chw4924 2 หลายเดือนก่อน

    Fantastico .gracias teacher

  • @tomjoad6993
    @tomjoad6993 4 ปีที่แล้ว +1

    Up until now I always thought about the d or delta as meaning change. When you said it meant width, it all finally clicked.

    • @AshleyMels
      @AshleyMels 4 ปีที่แล้ว

      I honestly thought the same thing until I watched this video.