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

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  • Опубліковано 27 чер 2024
  • This is just a few minutes of a complete course.
    Get full lessons & more subjects at: www.MathTutorDVD.com.
    In this lesson the student will learn what an integral is in calculus. First we discuss what an integral is, then we discuss techniques to solve integrals.

КОМЕНТАРІ • 286

  • @wandi2925
    @wandi2925 Рік тому +47

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

  • @ZebecZT
    @ZebecZT 2 роки тому +10

    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

  • @mikeearls126
    @mikeearls126 5 років тому +109

    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 роки тому +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 2 роки тому

      ua-cam.com/video/f3FO_nSpS9Q/v-deo.html

  • @mohammedhafiz8522
    @mohammedhafiz8522 3 роки тому +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 Рік тому +8

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

  • @paulaenjaesambueno5305
    @paulaenjaesambueno5305 3 роки тому +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

  • @rangamurali7667
    @rangamurali7667 11 місяців тому +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!!

  • @isaacnicholaus4361
    @isaacnicholaus4361 2 роки тому +17

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

  • @chillydill4703
    @chillydill4703 2 місяці тому

    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!

  • @colinroach9276
    @colinroach9276 2 роки тому +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 років тому +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

  • @noursawan7898
    @noursawan7898 8 місяців тому +1

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

  • @jacquelinekadzanja7559
    @jacquelinekadzanja7559 Рік тому +1

    The best math teacher in the world

  • @borntobeaqueens8341
    @borntobeaqueens8341 6 років тому +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 2 роки тому

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  • @verdaylkloss4844
    @verdaylkloss4844 3 роки тому +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...

  • @user-tn4mr8co5v
    @user-tn4mr8co5v 2 роки тому +8

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

  • @zaidaminjares8057
    @zaidaminjares8057 3 роки тому +6

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

  • @lkern6238
    @lkern6238 Рік тому +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!

  • @antoinefortin1386
    @antoinefortin1386 5 років тому +20

    One of the best explanation and demonstration ever.

  • @jasonmarx9715
    @jasonmarx9715 Рік тому +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.

  • @Painzerfaust
    @Painzerfaust 4 роки тому +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 2 роки тому

      ua-cam.com/video/f3FO_nSpS9Q/v-deo.html

  • @sammin5764
    @sammin5764 3 місяці тому

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

  • @obinnaejiofor4270
    @obinnaejiofor4270 6 місяців тому +1

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

  • @abebalech6933
    @abebalech6933 3 роки тому +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 роки тому +1

      The difference is that you have a scientist teaching mathematics!

  • @islandboy_grrspngbuildingy2331
    @islandboy_grrspngbuildingy2331 10 місяців тому

    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

  • @andregomes2629
    @andregomes2629 4 роки тому +1

    I'm very happy for teachers like you to exist

  • @sobianazir4177
    @sobianazir4177 Рік тому

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

  • @joelkgomo9245
    @joelkgomo9245 8 місяців тому

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

  • @antoinefortin1386
    @antoinefortin1386 5 років тому +32

    This man needs a grammies for teaching!

    • @kumarupendra
      @kumarupendra 2 роки тому

      ua-cam.com/video/f3FO_nSpS9Q/v-deo.html

  • @mohammadahmedragab837
    @mohammadahmedragab837 3 роки тому +6

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

    • @kumarupendra
      @kumarupendra 2 роки тому

      ua-cam.com/video/f3FO_nSpS9Q/v-deo.html

  • @blindunknown2007
    @blindunknown2007 4 роки тому +3

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

  • @danielpeters2584
    @danielpeters2584 3 роки тому +3

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

  • @ijazmirza4790
    @ijazmirza4790 4 роки тому +1

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

  • @shakahalknday9473
    @shakahalknday9473 6 років тому +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 2 роки тому

      ua-cam.com/video/f3FO_nSpS9Q/v-deo.html

  • @riverland0072
    @riverland0072 6 років тому +4

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

  • @obayrafi2632
    @obayrafi2632 5 років тому +1

    Probably the best lesson ive seen so far

  • @hrperformance
    @hrperformance 3 роки тому +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

  • @algirdass40
    @algirdass40 6 років тому

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

  • @leleiththelwell5478
    @leleiththelwell5478 5 років тому +2

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

  • @sekharandivakaran
    @sekharandivakaran 6 років тому +8

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

    • @blossom-qj2dc
      @blossom-qj2dc 5 років тому

      Sekharan Divakaran show me videos

  • @surajrajesh3318
    @surajrajesh3318 2 роки тому

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

  • @heet69690
    @heet69690 10 місяців тому

    Best explanation of integrals I have ever seen.

  • @Melan2005
    @Melan2005 Рік тому +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 ❤❤❤

  • @samerallan6765
    @samerallan6765 2 роки тому

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

  • @Max-qm5wt
    @Max-qm5wt 3 роки тому

    Easy and clear. The best teacher!

  • @Nightcrawler58
    @Nightcrawler58 7 місяців тому

    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!!!!

  • @george4746
    @george4746 5 років тому

    An underrated gem.

  • @aminomar7890
    @aminomar7890 Рік тому +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 роки тому

    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..

  • @tintin6900
    @tintin6900 4 роки тому +1

    I sincerely appreciate your patience!

  • @alializadh5280
    @alializadh5280 Рік тому

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

  • @europestudygoal5923
    @europestudygoal5923 2 роки тому

    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.

  • @yibeyibe389
    @yibeyibe389 4 роки тому +1

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

  • @bless_you_361
    @bless_you_361 2 роки тому +1

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

  • @Bea_remembrance
    @Bea_remembrance 7 років тому +4

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

    • @agrotizer476
      @agrotizer476 2 роки тому

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

  • @MalamIbnMalam
    @MalamIbnMalam 4 роки тому +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 2 роки тому

      ua-cam.com/video/f3FO_nSpS9Q/v-deo.html

  • @Talisgold
    @Talisgold 5 років тому

    A great way of explanation . Thanks

  • @torpedoe1936
    @torpedoe1936 10 місяців тому

    This is pure gold !!! Thanks

  • @princesslesliebaudillo3941
    @princesslesliebaudillo3941 5 років тому

    Thanks for this! Very helpful

  • @learocks124
    @learocks124 6 років тому

    Wow thank you so much. This video was excellent. Very helpful

  • @mattjames7272
    @mattjames7272 2 роки тому

    Your videos are so good. Thank you!

  • @mikeearls126
    @mikeearls126 6 років тому +2

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

  • @noeltraviimakail5629
    @noeltraviimakail5629 Рік тому

    Real talk about integrals.💪👍👍👍

  • @toptwinsfamily
    @toptwinsfamily 3 роки тому

    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 2 роки тому

      ua-cam.com/video/y_XwQkchwrE/v-deo.html

  • @nayrbsworld3048
    @nayrbsworld3048 2 роки тому

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

  • @ndikhomangisa4502
    @ndikhomangisa4502 2 роки тому

    Good teacher indeed.. Thank you

  • @mikeearls126
    @mikeearls126 5 років тому

    wow this was awesome...actual applications of this stuff !!!!!

  • @danielmorency8798
    @danielmorency8798 Рік тому

    The best teacher ever

  • @jabbathehutt489
    @jabbathehutt489 2 роки тому

    this guy is a fantastic teacher

  • @bhyaas7650
    @bhyaas7650 Місяць тому

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

  • @JesusSavesRepent
    @JesusSavesRepent 7 місяців тому

    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 🤦‍♂️

  • @mryup6100
    @mryup6100 4 роки тому

    Definitely one of if not the best explanation on integrals!

    • @MathAndScience
      @MathAndScience  4 роки тому

      So happy you liked it!
      Jason, MathAndScience.com

  • @craig7878
    @craig7878 Рік тому

    Best explanation I have ever seen!

  • @VishalDesai711
    @VishalDesai711 4 роки тому +1

    Have no words to describe this... awesome

  • @rpsahi7277
    @rpsahi7277 Місяць тому

    Beautiful teaching making things look so easy.

  • @sivikelwempendulo3700
    @sivikelwempendulo3700 4 роки тому +1

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

    • @kumarupendra
      @kumarupendra 2 роки тому

      ua-cam.com/video/y_XwQkchwrE/v-deo.html

  • @casst346
    @casst346 Рік тому

    perfect teaching and explanation. Great job..

  • @mosesmaura8768
    @mosesmaura8768 2 роки тому

    You are always the finest...

  • @rawanskaf4488
    @rawanskaf4488 2 роки тому

    one of the best explanation ever

  • @Nussrat02
    @Nussrat02 11 місяців тому

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

  • @user-og1rq4fb7c
    @user-og1rq4fb7c 4 роки тому +1

    Comprehensive explanation. Looove it.

    • @kumarupendra
      @kumarupendra 2 роки тому

      ua-cam.com/video/y_XwQkchwrE/v-deo.html

  • @jacobthomas274
    @jacobthomas274 7 років тому

    Very good explanation.

  • @ArhamKhan05
    @ArhamKhan05 11 місяців тому

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

  • @user-fp7tk8gg7c
    @user-fp7tk8gg7c 7 місяців тому

    This is so relieving❤. Thank u so much

  • @laktykbugbad
    @laktykbugbad 2 роки тому

    Many thanks for this video

  • @vinyltherapy9410
    @vinyltherapy9410 3 роки тому

    You are a fabulous teacher, thank you so much!

    • @kumarupendra
      @kumarupendra 2 роки тому

      ua-cam.com/video/y_XwQkchwrE/v-deo.html

  • @scanurasiri1
    @scanurasiri1 4 роки тому

    great teacher...indeed

  • @panaishemurefu6424
    @panaishemurefu6424 Рік тому

    Great video boss, we need people like you.

  • @keithjohnson3622
    @keithjohnson3622 2 роки тому

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

  • @dijonstreak
    @dijonstreak 2 роки тому

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

  • @MasumMia-hb1uc
    @MasumMia-hb1uc 3 роки тому

    very very wonderful lecture.thank you so much sir

  • @youcefk7843
    @youcefk7843 6 років тому +1

    Great and Thanks

  • @ElenaDelgado_EarlyShow_EHS2024

    You are an amazing teacher❤

  • @lwaz787
    @lwaz787 3 місяці тому

    fascinating overview of integrals ever

  • @silentintegrals9104
    @silentintegrals9104 3 роки тому

    Great Video! Solving integrals is allways fun!

  • @glennrasmussen56
    @glennrasmussen56 8 місяців тому

    Thanks, finally a good explanation

  • @dellaburns7307
    @dellaburns7307 3 роки тому

    AWESOME best expiation ever heard

  • @99bobcain
    @99bobcain 2 роки тому

    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

  • @johnstrawb3521
    @johnstrawb3521 2 роки тому

    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 роки тому

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