Definite Integral

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  • Опубликовано: 31 дек 2024

Комментарии • 295

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Год назад +26

    Integration - Free Formula Sheet: bit.ly/3XCT6oz
    Final Exams and Video Playlists: www.video-tutor.net/
    Calculus 1 Final Exam Review: ruclips.net/video/WmBzmHru78w/видео.html
    Next Video: ruclips.net/video/d4CdMoucVfs/видео.html

  • @Phyto.
    @Phyto. 6 лет назад +1137

    You have helped me pass calculus, physics, chem and organic chem. I cannot thank you enough!!!

  • @terrancepage9163
    @terrancepage9163 2 года назад +78

    i spent 5 hours in my textbook trying to learn 20% of what i learned in this 10 minute video. Thank you, from the core of my being!

  • @Cinamuna
    @Cinamuna 4 года назад +292

    i really appreciate how you try to incorporate mental math as much as possible. i admit, i have such a bad habit of clinging onto my calculator.

    • @bramancronin8013
      @bramancronin8013 3 года назад +49

      my problem is all the damn teachers when they show this stuff just skip over that and i get confused more by the calculations than the actual meat of the problem

    • @simlpyme8052
      @simlpyme8052 3 года назад +1

      Braman Cronin Sameee

    • @pizzamon4990
      @pizzamon4990 15 дней назад

      with calc 1 i was able to complete it without a calculator because I was tool lazy to find one

  • @Matt-dy7uq
    @Matt-dy7uq 3 года назад +623

    You and Khan academy are the only reason I haven't dropped out of college

  • @jalenandrew2387
    @jalenandrew2387 4 года назад +276

    Teacher: "raise your hand if you've learned this stuff before"
    Maybe 1/3 of the class: raises hand
    Teacher: "Good, good we'll go over it really quick since most of you have already learned it"
    The other 2/3s: 🤦‍♂️

    • @katarina95ful
      @katarina95ful 3 года назад +11

      ı am here for literally the same reason

    • @woozihae
      @woozihae 2 года назад +2

      Literally same but with another class.

  • @o.nmampofu9458
    @o.nmampofu9458 2 месяца назад +3

    i love how you are not using a calculator to solve the fractions, its like revising maths basics while I'm learning integration. i appreciate you man

  • @zoepather5536
    @zoepather5536 Год назад +52

    The amount of engineering modules you’ve helped me pass is crazy😭 I wouldn’t be in my second year without you

    • @DerrickBwali
      @DerrickBwali 6 месяцев назад +2

      Me too 😢. I just wish I saw him face to face and say thank you sir

  • @aleiahmadellaine4914
    @aleiahmadellaine4914 3 года назад +48

    This man has been helping me since I was 11th grade. Sir, I can't thank you enough.

  • @phanthanhchung7273
    @phanthanhchung7273 Год назад +11

    There's a reason why you're among the best online teachers on the RUclips platform, and it's both the quality and amount of topics you can cover.

  • @Benedict_Miriti
    @Benedict_Miriti 4 года назад +79

    I literally attend my lectures in class only to come back back and grasp the content in this channel

    • @tictac3361
      @tictac3361 8 месяцев назад +3

      I watch these videos during my lectures. I just show up for the attendance points lol

    • @HadiAichoune
      @HadiAichoune 25 дней назад

      @@tictac3361 real asf

  • @ayushman19
    @ayushman19 Год назад +5

    I can't understand definite integration through my maths teacher despite him explaining that in our native language and this guy speaks in English I am able to understand this way more better.

  • @etalien-dm9ki
    @etalien-dm9ki 3 года назад +9

    I don't think you understand the amount of kids you have taught with these videos. how many failed exams you prevented. you sir, deserve nothing but the best in life

  • @ElectricRCAircraftGuy
    @ElectricRCAircraftGuy 2 года назад +3

    4:00-4:35: the constant isn't needed in definite integrals because it cancels out. That's what I needed to know! Thank you.

  • @bigedman365
    @bigedman365 4 года назад +16

    Thank you so much man, never understand definite integrals until now (the night before the exam) because my teacher teaches us like we already learned this before so when he gives his lectures it doesn't make any sense to me. Thank you

  • @hawa7784
    @hawa7784 3 года назад +54

    I have a calculus test tomorrow, and your explanations are so thorough and helpful. Thank you so much!!

  • @sanakhan-pv8pj
    @sanakhan-pv8pj Год назад +1

    This and khan academy are the only channels that are god-gifted!
    THANK YOU SO MUCH!

  • @jvjjjvvv9157
    @jvjjjvvv9157 3 года назад +5

    These videos are very useful as basic refreshers for people who studied college-level calculus and then many years later simply forgot, like me. I'm doing a statistics and data science program now and I realized I just didn't remember the first thing about integrals (which I need to be comfortable with, for this program), and your videos have helped me a lot in record time, basically one hour. Thank you!

  • @wokoloko1352
    @wokoloko1352 3 года назад +10

    THE BEST CALCULUS TEACHER EVER👌👌
    Sir keep it going...👍👍

  • @dillets1090
    @dillets1090 2 года назад +2

    the planet's biggest life saver. I thank you good sir. You came in clutch.

  • @astron099
    @astron099 11 месяцев назад +1

    I just passed my calc 1 and chem with the help of your videos! Hopefully, three years from now, I could come back here and proudly say I've graduated as a computer engineer❤

  • @varunjishnu
    @varunjishnu Год назад +2

    Tmrw is my test and this video taught me more than what my friends and teacher tried to teach me

  • @hyperdexza
    @hyperdexza 2 года назад +5

    i can't imagine university life without you 🙌 great job sir

  • @sashacooper9326
    @sashacooper9326 2 года назад +5

    Love this video, especially the explanation of cancelling C, which I'd never really felt like I understood until now :)

  • @ethanhoffman4931
    @ethanhoffman4931 Год назад +3

    thank you so much for these videos. im a student going in to the 11th grade. I'm taking calc ab over the summer, and wouldn't be able to do it without you!

  • @RevToGo-tv
    @RevToGo-tv 5 лет назад +16

    i can't thank you enough for the help, your explanations are very clear, clearer than the clearest sky,

  • @alfiaisyahazhari58
    @alfiaisyahazhari58 4 года назад +92

    Sooo tomorrow is my exam for intergration, so hopefully at least i'll get 95 out of 100. Wish me luckk. Btw thanks for the vidio, may Allah protect you

    • @alfiaisyahazhari58
      @alfiaisyahazhari58 4 года назад +65

      Thank you actually i get 95 score as i wish😁

    • @nihatdonmezov8354
      @nihatdonmezov8354 3 года назад +10

      @@alfiaisyahazhari58 Allah helped you

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      @polarbear6479 3 года назад +23

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      @Mhmdmikail 3 года назад +1

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    • @FijiWater1227
      @FijiWater1227 3 года назад

      What did you get?

  • @darshanaduttachoudhury1122
    @darshanaduttachoudhury1122 Год назад

    You are the best teacher I have ever seen.

  • @user-gi8lt3tc8n
    @user-gi8lt3tc8n 4 года назад +2

    You are the reason that i started love with calculus Sir

  • @RawDoggin_78
    @RawDoggin_78 2 года назад

    you are definitely the best youtube teacher ever

  • @mlralinku2552
    @mlralinku2552 3 года назад +1

    i love you man, you help a lot of people

  • @harinirajesh3838
    @harinirajesh3838 3 года назад +3

    This video, saving grades since 2018

  • @Ricci04
    @Ricci04 4 года назад +3

    Thank you, I passed my Differential and Integral. God bless you!

  • @Itsmagalie_
    @Itsmagalie_ 5 лет назад +21

    Thank you so much I didn’t get it in class but you made it easier to understand

  • @adamzwolinski372
    @adamzwolinski372 2 года назад +5

    nice video, but those are very simple examples for basic understanding . I never even had such easy examples in my classes. Would love if you did a video for more complex examples

  • @thobelanichili512
    @thobelanichili512 3 года назад

    best tutor ever existed you are a genius !!!!

  • @wrjazziel
    @wrjazziel 3 года назад +1

    Thank you so much, you are the best on RUclips!

  • @Diaryofaninja
    @Diaryofaninja 5 лет назад +9

    For the problem presented at 6:15 this is wrong. You can only evaluate the integral like that if the function is continuous from a to b which it isn’t, there’s a V.A at x=0. You have to separate it.

    • @serbanhoban1517
      @serbanhoban1517 4 года назад +4

      Exactly, and if you separate it you will find that the integral diverges

    • @_buany8701
      @_buany8701 3 года назад +2

      This because I just watched a video where he said you couldn’t do this so now I’m confused

    • @andredubbs4854
      @andredubbs4854 3 года назад +3

      @@_buany8701 just watch the graph of the function on a desmos. try to find the area from -3 to 4, you'll see a vertical asymptote at x = 0. Which means your definite integral is infinite, you have an infinite area kinda, its a big ass space lmao.

  • @mirsahin6276
    @mirsahin6276 2 года назад +1

    You are such a great teacher. 🙏🙏🙏🙏 from India

  • @kostas0352
    @kostas0352 Год назад

    You're not the hero we deserved, but the hero we needed

  • @espyslays4653
    @espyslays4653 4 года назад +16

    For the problem at 7:30, wouldnt you have to take the lim as a approaches 0 from the left, and the lim as b approaches 0 from the right, since the denominator of the oroginal function is x?

    • @JKMath
      @JKMath 2 года назад +4

      He definitely should have taken into consideration that the function is not defined at x=0. This normally would not be a problem if the bounds did not include 0. For example, if the bounds were 1 and 4 rather than -3 and 4, then his approach to solving that integral would be correct since 0 is not included between those bounds, just 1, 2, 3, and 4 would be. However, since the bounds are -3 and 4, the value of 0 is included between them, and so you would be correct in saying that a different method of solving would be necessary. So for anyone taking a calc 1 course, don't worry about coming across this type of problem until you take a calculus 2 course, or cover the concept of improper integrals. Hope this helps!

  • @Korvilon
    @Korvilon 2 года назад +1

    Im mad that my college professor didn't explain this topic, this well. Everything just clicked in my head on this topic now. Thank you.

    • @somerandomkid7278
      @somerandomkid7278 Месяц назад

      COLLEGE??? we're taught this in 11th grade lol

    • @Korvilon
      @Korvilon Месяц назад

      @@somerandomkid7278 Didn't learn it until College. Never even made it to Trig back in High school. Now Im a 3.8GPA senior in an Electrical Engineering Degree. We all get to where we need to eventually. Just took me a bit longer.

    • @somerandomkid7278
      @somerandomkid7278 Месяц назад

      @Korvilon yoo nice good job fr

    • @somerandomkid7278
      @somerandomkid7278 Месяц назад

      @@Korvilon i didn't mean it in a bad way whatsoever btw i was j surprised we are taught this early XD

  • @koka_majstor
    @koka_majstor 3 года назад

    An 11 min video taught me more than 2 years in in high school and a year in college

  • @jabbathehut1871
    @jabbathehut1871 Год назад +1

    1:30: the fundamental theorem of calculus, part 2.

  • @Backflipmarine
    @Backflipmarine 5 лет назад +2

    These videos constantly help me out! so thanks a million :)
    Only advice is that I need to adjust volumes every time to listen, please amplify the audio a little, even on max speaker volume its kinda quiet.

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    @ezekielgaletshabe9094 5 лет назад +2

    u r so good ....wish they can be lectures like you in BOTSWANA

  • @Archiejjones
    @Archiejjones 5 месяцев назад +2

    My final exam is in half an hour and you may have just saved me

  • @alijalal7687
    @alijalal7687 2 года назад +1

    how can we thank this guy enough?

  • @ambika1379
    @ambika1379 Год назад

    i read my textbook and all of my notes and i still didn't get the concept. less than 5 minutes of watching this and i got it. thank you

  • @Zolt.fx17
    @Zolt.fx17 2 года назад

    Omg i got Physics exam Tommorow and you help me alot with this video, i can't thank you enough 💯

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    @advilproductions6561 2 месяца назад

    The king has saved me once again. Feel like I should be giving him some of my tuition atp

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    @melanatedmessages6509 3 года назад +20

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    @arcaderex3872 9 месяцев назад +2

    Can’t imagine how miserable many student lives would be without you existing lol

  • @georgesadler7830
    @georgesadler7830 2 года назад +1

    Professor Organic Chemistry Tutor, thank you for explaining the differences between the Definite and the Indefinite Integral in Calculus. This topic is used every day in Advanced Mathematics. Professor Organic Chemistry Tutor, at the 6:15 minute mark, the integral of 8 divided by x cubed from minus three to four is infinite. This is an improper integral in Calculus. In the final example, there is an absolute value sign missing after the ln. Please correct these errors in the video.

  • @malindrome9055
    @malindrome9055 7 месяцев назад

    I have a final tomorrow and you are absolutely saving my final! I dont think I will get an A on it, but I now dont think I will fail it and I think I will end up with a B for the class!

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    @sisiphosidiya6485 3 года назад

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    @lilianmutheu-j9j 11 месяцев назад

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    @adokiyeiworima6309 11 месяцев назад

    I so love their method of teaching

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    @miavasher7991 3 года назад

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    @averdantcryptid Год назад

    Once again this guy taught me a concept in 20 seconds while my professor couldn’t do it in 2 hours

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    @hasansaleem4983 3 года назад +1

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    @moonibor9271 3 года назад

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    @Meganlonadon 3 года назад

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    @Bang_bang_007 6 лет назад +6

    Sir,Thanks for your help. Plz make more video

  • @_blueshift_3976
    @_blueshift_3976 6 лет назад +2

    Thank you for all videos. They have always been helpful, keep up with the great work.

  • @moonding3979
    @moonding3979 5 лет назад +2

    The way my professor solve definite integral is so different, he use the power rule first before proceeding to the deffinite formula which brought me alot of confusion.

  • @MenikmatiSenja-wf1ie
    @MenikmatiSenja-wf1ie 24 дня назад

    this is so informative and this is really helps, thanku somuch

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    @qm7971 4 года назад +1

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    @Ndunda_Kelvin 2 года назад

    Correct.In 4.42 minute instead of multiplying 5 with the square of 4 which is 16. You have multiplied with 8(4×2)

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    @Kapandula 10 месяцев назад

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    @Bunny78616 3 года назад

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    @langelihleconco 4 года назад +1

    This channel saved me from failing maths in University

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    @rosette_renah 4 года назад +2

    Just beautiful.
    Am going to use your playlist to finish integrals

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    @muhammadiyyas2790 2 года назад +1

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      @Kikiccc 2 года назад

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      @muhammadiyyas2790 2 года назад

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      @Kikiccc 2 года назад

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    @SeanMiller-v3g Год назад

    I'm watching you in calculus class. Your method took one line on a page, the professor's method took a few dozen

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    @eg6809 Месяц назад

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  • @krizylbaguhin9188
    @krizylbaguhin9188 11 месяцев назад

    You have saved me sir! Thank you so much!

  • @martinepstein9826
    @martinepstein9826 2 года назад +3

    6:05 This one was done incorrectly. 8/x^3 is not integrable on the interval (-3, 4).

    • @ehsanium27
      @ehsanium27 2 года назад

      Yes, he did a video on this.

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      @scorpion00001 Год назад

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    @XiAnais-bt9ke 6 лет назад +49

    He drew a perfect oval at 4:02

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    @abugslife2461 4 года назад

    Thank you!!! Catching up on these concepts before my calc 2 class starts, ahhhh!!!

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    @lividical Год назад

    You had secret lab ad and it made me cry because I don't have the money for that. I was just stalking it and now I'm bummed while learning math.

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    @PK-qv5kv 3 года назад

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  • @edreport2560
    @edreport2560 Год назад

    Great explanation

  • @asmocarab9344
    @asmocarab9344 5 лет назад

    Thanks teacher You Sve my Education

  • @roogle3878
    @roogle3878 5 лет назад

    This is some beautiful mathematics

  • @jabbathehut1871
    @jabbathehut1871 Год назад

    1:30: fundamental theorem of calculus, part 2.

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    @Pr1nc3_Jay 5 лет назад +99

    Can we get a face reveal at 1.5million subs??

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      did we get one?

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      @DerrickBwali 6 месяцев назад

      ​@@FavouredElm2 Yes and have seen his face before

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    @ViewsFromTheDeathStar 2 года назад

    Why does he teach better than teachers.

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    @noman1403 2 года назад +1

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    @lukundochilela6152 6 лет назад

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    @Jawahir-l5u 2 года назад

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    @yannicklangerhuizen628 Год назад

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