Basic Integration Rules & Problems, Riemann Sum, Area, Sigma Notation, Fundamental Theorem, Calculus

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  • Опубліковано 16 лис 2024

КОМЕНТАРІ • 318

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  10 місяців тому +12

    Integration - Formula Sheet: bit.ly/3XCT6oz
    Final Exams and Video Playlists: www.video-tutor.net/

  • @Ms452123
    @Ms452123 7 років тому +1878

    I think you should go to bed every night knowing that there are a thousand students out in the world that genuinely love you man. You contribute to so many peoples success.

  • @moa7510
    @moa7510 7 років тому +171

    School and college lectures should just be your review videos like these. I think maybe one week of your lecture videos can get anyone through all of calculus. You literally allowed me to go through an entire calc class thank you!

    • @miriamputter7059
      @miriamputter7059 2 роки тому +2

      I agree. I also think that we have to be grateful for such a good job. I hope, the author could get some money and honor through his job.

    • @reyza3640
      @reyza3640 Рік тому

      True man

  • @cacatow
    @cacatow 6 років тому +259

    you are a gift from God

  • @jk-qs9dt
    @jk-qs9dt 3 роки тому +91

    15:41-30:40 7. Antiderivative of Exponential Functions and Rational Functions - Natural Logs
    30:41-41:08 8. Integration of Trigonometric Functions - sin, cos, sec^2, sectan, and more

  • @ziziphomn6804
    @ziziphomn6804 4 роки тому +50

    you contribute to the education of South African students, thank you so much....

  • @omarhardan6011
    @omarhardan6011 Рік тому +14

    5 years has passed and this legend is still helping students with these old videos

  • @gavin9966
    @gavin9966 6 років тому +47

    This video makes me cry tears of joy.

  • @CookieCrooks
    @CookieCrooks 4 роки тому +6

    coming here from calc 1 in college, Have a professor who doesn't speak good English and isn't a great teacher. Besides your teaching skills, you are an amazing and very gifted human being! Just know we all appreciate everything you do very much. If you think about it you are educating masses of people for FREE. bless you and thank you so much!

  • @eno-obongimeokparia3608
    @eno-obongimeokparia3608 Рік тому +5

    I've been having problems with integration, but on watching this video integration has been made easy.Thank you

  • @NRVRRMIND
    @NRVRRMIND 2 роки тому +23

    I don't often comment on videos but this is fantastic. Watching it the night before my midterm and it covered everything I need to know. I sometimes have no idea where to start my studying and it can be scary, but this has helped so much :)

  • @HamedRigi1998
    @HamedRigi1998 5 років тому +13

    bruh I love how you explain in a very simple way that even if somebody haven't studied maths or calculus still can understand what you say. bruh you are the reason why I am passing calc in uni! Thank you so much!!!

  • @Pabzie504
    @Pabzie504 Рік тому +3

    Words cannot express my gratitude for distinctions I got on both my tests for the semester. I needed to remember this basics after 8 years since diploma. Can't wait to finish with my degree😅, thank you so much 🇿🇦

  • @preslavagyuzeleva484
    @preslavagyuzeleva484 День тому

    My calc prof is horrible and I'm very bad at Math but your videos help me so much! Thank you, man, you are gift for this world ❤

  • @gavinlockard5547
    @gavinlockard5547 7 років тому +282

    You're going to carry me all the way through Calc II 😅

    • @invalidusername1239
      @invalidusername1239 7 років тому +35

      Gavin Lockard once u get to calc 3 it will be good looking up professor leonard. Dont be afraid by the length of the videos, trust me you will thanks me later😁

    • @ahmadzaka9885
      @ahmadzaka9885 5 років тому +6

      @@invalidusername1239 thanks for the advice I'll sure look him up.

    • @caymanogden6460
      @caymanogden6460 3 роки тому +4

      4 years later and we still watching him

    • @jakennaji5943
      @jakennaji5943 3 роки тому +2

      @@caymanogden6460 fr

    • @virajfunhouse8491
      @virajfunhouse8491 2 роки тому +1

      What

  • @sara_mercischmeckt
    @sara_mercischmeckt Рік тому +4

    I can't even express how grateful I am to be able to watch your highly qualitative content for free. I hope god blesses you and your family with wealth, health & happiness. You are awesome! I get overwhelmed so easily especially with mathematical expressions used in lectures or scientific literature. You helped me a lot with my anxiety because you have an incredible way of showing the simplicity of seemingly complicated topics. Thank you so much !

  • @bonzaralph
    @bonzaralph 7 років тому +257

    Please check 30.30 where you divide 2 by - 4 to get - 2 as the constant in the last term. Shouldn't this be - 1/2, ie - 1/2 (ln 5 - 4x)? Otherwise, haha, of course absolutely excellent and gives hope where there wasn't so much. Cheers

    • @prathamwadhawan1986
      @prathamwadhawan1986 4 роки тому +32

      yesssir my nigga

    • @yikushieda
      @yikushieda 4 роки тому +9

      yes! but wow this video was amazing

    • @lindiwejulia9763
      @lindiwejulia9763 4 роки тому +63

      Lol I actually went through the comments to check if I'm the one whose made a mistake or not..thanks

    • @clubexcellence1415
      @clubexcellence1415 2 роки тому +5

      yeah but it was a minor problem compared to the job hes doing here... honestly

    • @aqua3890
      @aqua3890 2 роки тому +1

      @@lindiwejulia9763 me too haha

  • @leta3713
    @leta3713 3 роки тому +7

    This guy literally knows everything...I just wonder when I hear his "In this video...' phrase on different topics which have nothing in common.

  • @mangalover8764
    @mangalover8764 3 роки тому +7

    I want to say thank you. Because I passed Calculus 1 because of you. I hope you can create more videos to help us learners. God Bless!

  • @ElizRued
    @ElizRued 7 років тому +17

    By far one of the best videos in youtube. Thank you SO MUCH for sharing your knowledge in a clear manner!!

  • @Morvonina1815
    @Morvonina1815 Рік тому +1

    this is the most important channel in this app istg

  • @bbaa44x75
    @bbaa44x75 Рік тому +1

    Man thank u soooooo much im a college student I was suffrieng until I watched this videos man I hope when u go to bed sleep with comfort because you saved thousands of people

    • @Fgygyi
      @Fgygyi 2 місяці тому

      Is this college level integration though??? Or you are using this video just to clear the basics?
      Just curious😅

  • @pw69
    @pw69 5 років тому +78

    An error on 30:17. Antiderivative 2/5-4x equal -1/2*ln |5-4x| not -2*ln|5-4x|

    • @guru9b927
      @guru9b927 3 роки тому +10

      Yep i came for the comment section to leave this

    • @Anatoliandude7
      @Anatoliandude7 3 роки тому +6

      i looked into the coomment section before watching the video and you seemed like someone who really knew his math's i didnt understand a word of what you just said. im at the 30th minute and i found the same result that you did i when i realised that he made a mistake it hit me i remembered ur comment all i can say is this man is really good at teaching.

    • @c3cil358
      @c3cil358 3 роки тому +8

      @@Anatoliandude7 teaching so good he makes mistakes to see if we are paying attention

    • @fl_d1043
      @fl_d1043 3 роки тому +3

      Right There is the mistake happened , but his standard of teaching is out of box ..... ❤️❤️

    • @huzaif2784
      @huzaif2784 2 роки тому

      It’s not a mistake. If two was the denominator then your answer would’ve been correct lol

  • @Burbs15
    @Burbs15 6 років тому +22

    I think at 2:19:35 s(t) is supposed to be s(t)=1/2t^3-3t^2+15/2t+1. I think you forgot the 1/2 for the first variable. Great videos though man you're a lifesaver.

  • @JazzzyBby
    @JazzzyBby 7 місяців тому

    You are an amazing human, thank you for sharing your knowledge on a platform that most people have access to. Your a real gem!

  • @ascaredmilipede7971
    @ascaredmilipede7971 2 роки тому +1

    First time on this channel, ive been falling behind for years because i didnt pay attention during highschool in covid. i accidentally made it into my dreamschool (got lucky) and im falling behind there too. This is the first time im actually studying in literal *years* (thanks "gifted" kid burnout) and i want to thank you for making this channel. Seriously, i will be back, more than once just because i probably fell behind again, thank you.

    • @jeha3436
      @jeha3436 11 місяців тому +1

      hey, just wanted to say im the SAME as you. except I'm an idiot so my first time taking calculus i still thought i can wing it. needless to say i failed miserably so here i am... on this vid about to take calculus final exam for the second time...lol. wish me luck i really CANT fail again😭

  • @silentcal275
    @silentcal275 11 місяців тому

    Not only is this video helpfu for my exam tommorow, but your voice is actually very calming.

  • @dole6182
    @dole6182 7 років тому +22

    Thank you so much for creating these videos! I have an upcoming exam on Calculus and this video is a great summary on everything I have learned so far. There was a mistake that you have made at 30.30. One person in the comments section has already mentioned it but either way you are a great tutor. So keep up the work and hope you have a good day.

    • @trincoz2007
      @trincoz2007 Рік тому

      I really appreciate your work it's so much helpful and I hope you continue this yeah words can't say it all but know that we r proud of you

  • @raadsarar4759
    @raadsarar4759 4 роки тому +2

    Man, if i could give a thousand likes on this video. U deserve more. Thank you so much.

  • @jonatha17
    @jonatha17 6 місяців тому

    Youve reallly helped me ace my calculus 1 final exam, I probably got a 100 plus extra credit

  • @hassniakhyati6582
    @hassniakhyati6582 3 роки тому

    Thank you soooo much....I have been watching your videos for four years and every time I watch your videos it make me happy because I know that I will understand from it.

  • @M8DLT
    @M8DLT 7 місяців тому +2

    Bookmarks
    1:42:22 Properties of Integrals
    2:27:20 Fundamental Theorem of Calculus

  • @keotshepilemandona9882
    @keotshepilemandona9882 6 років тому +9

    thanks god am watching your videos if it wasnt for them, i would have failed calculus for this semester...keep doing great work

  • @runa441
    @runa441 3 роки тому +11

    I really love your videos sir! They help me understand stuff i couldn't from online class and I'm really grateful to you for this. But could you make a playlist so that it will be easier for us to find what's the next video to watch and learn from?

  • @necatiakpnar5677
    @necatiakpnar5677 6 років тому +13

    I passed from Physics because of you. It's time for CALCULUS!

    • @MP-cv6if
      @MP-cv6if 3 роки тому

      How did it go?

    • @necatiakpnar5677
      @necatiakpnar5677 3 роки тому +1

      @@MP-cv6if I graduated last year :D

    • @MP-cv6if
      @MP-cv6if 3 роки тому +1

      @@necatiakpnar5677 great! so his tutoring can get people through uni sucessfully

    • @navjotsingh2251
      @navjotsingh2251 2 роки тому

      @@MP-cv6if not just uni, his tutoring will get you through life 😅

  • @piepai7200
    @piepai7200 Рік тому +1

    You can't imagine how much your videos helped me. Thanks man!

  • @aqua3890
    @aqua3890 2 роки тому +1

    You're genius. I absolutely love you. You explain SOO clearly and your exaples are just top quality for beginners. No one explains as well as you.

  • @pa1zy975
    @pa1zy975 Рік тому

    Mistake spotted! 30:33 not -2 ln (5-4x) but -1/2 ln (5-4x). Welcome! Huge respect to the author for the videos and chanell, really love u!

  • @jimhalpert9803
    @jimhalpert9803 4 роки тому +35

    OCT : takes 1+ min on integrating trigonometry related integrals.
    Me who has solved hundreds of them in other OCT videos :
    **Laughs in identities**

  • @kk8490
    @kk8490 5 років тому +1

    You’re amazing
    Please never take these videos down!

  • @yukaihatsu
    @yukaihatsu 2 роки тому +9

    Time Stamps would be ideal.
    2:27:20 - Fundamental Theorem of Calculus

  • @paigetrunnell7102
    @paigetrunnell7102 2 роки тому

    i love you. my calc 2 class is online and my professor is ass, you are my savior. all hail the organic chemistry tutor

  • @AditiSingh-jz9qo
    @AditiSingh-jz9qo 3 роки тому +1

    I AM SO THANKFUL FOR THIS QUALITY OF CONTENT!!....LOVE FROM INDIA❤❤

  • @giannaclark2041
    @giannaclark2041 2 роки тому +3

    Trapezoid rule (avg. of the left and right Riemann sum)1:02:00-1:07:00

  • @yaotseedward22
    @yaotseedward22 2 роки тому

    I can't compare any lecture with this man, he is perfect in all area, I really love him. wishing to see him. one day. I don't even know how it gonna happen.

  • @pfeliciano4062
    @pfeliciano4062 5 років тому +7

    What would you do?
    - Hi, I am John Quiñonez. What made you made these videos to help all these struggling students?

  • @pola0614
    @pola0614 2 роки тому +1

    It’s hard to know English as a non English man, but dude the math is life I breathe with it.

    • @reyza3640
      @reyza3640 Рік тому

      As non-native speaker, i find it more helpful to watch calc or any subject with English rather my own national language 🤷

    • @reyza3640
      @reyza3640 Рік тому

      As non-native speaker, i find it more helpful to watch calc or any subject with English rather my own national language 🤷

  • @xenon9717
    @xenon9717 3 місяці тому

    Thanks bro I havent taken calc yet but need to learn it for ap physics your stuff is a lifesaver

  • @sibahlenonjabulo5858
    @sibahlenonjabulo5858 2 роки тому +1

    thank you so much mr JG your video help me a lot to pass my modules since I am doing electrical engineering. love your content so much.😍😘

  • @RebeccaStarling-p2z
    @RebeccaStarling-p2z 11 місяців тому

    cramming before my final tmrw and i have a take home quiz today. my professor is insane.

  • @Meenimie
    @Meenimie 7 місяців тому +1

    I don't know if I can ever thank enough.

  • @timothyyeung3669
    @timothyyeung3669 7 років тому +87

    How are you able to talk for so long

    • @bottles1215washacked
      @bottles1215washacked 5 років тому +14

      the videos are cut into different times

    • @ramomehmedovic351
      @ramomehmedovic351 5 років тому +10

      @@bottles1215washacked that and also talking quietly

    • @adamjones6473
      @adamjones6473 5 років тому +5

      2 hours isn’t that long for prof to teach..

  • @devondevon4366
    @devondevon4366 4 роки тому +9

    0:51 the antiderivative (integral) of x^2 is x^3/3 since the derivative of it is 3x^2/3 =x^2, so you got straight back to x^2 .
    2:24 the antiderivative of x^4 dx is x^5/5

    • @RealBrother.03
      @RealBrother.03 3 роки тому +3

      Wrong.

    • @mnm15798
      @mnm15798 Рік тому

      correct! but don't forget to add the constant at the end
      x^2 = x^3/3 + C
      x^4 = x^5/5 + C

  • @muhammadsaqib3752
    @muhammadsaqib3752 3 роки тому +2

    i do not have words to say you thanks by posting such a great video.

  • @reginaldColley
    @reginaldColley Рік тому

    Shouldn't the final answer should be -1/2ln|5-4x|+C. I was waiting for you to correct the answer as you normally do when you make a misstep. I'm working the problems as you go along and I've improved so much! Thank you! You are a big help, I tell all my Cal and Physics classmates about you!

  • @Booksarelife24
    @Booksarelife24 6 років тому +2

    Thank you so much for all the videos that you make !! I've done so well in physics, chemistry, pre calc, calc, etc because of watching all your videos! Again, thank you so much!

  • @osaweemmanuel670
    @osaweemmanuel670 11 місяців тому

    You have save me again I wish many more student can know about you

  • @MandaNovokmet
    @MandaNovokmet 6 років тому +7

    You're incredible! Thank you so much, your videos seamlessly provide clarity, God bless!

  • @Mathmaniac-vw9ip
    @Mathmaniac-vw9ip 4 місяці тому

    Saving and gooing to learn these stuff for my future college years

  • @jamesihara
    @jamesihara Рік тому

    Thank you for teaching me this, this help so much as a scientist

  • @zaina7565
    @zaina7565 6 років тому +6

    I LOVE YOU!! YOU SAVED MY FREAKING LIFEEEE

  • @zainullahzain546
    @zainullahzain546 2 роки тому +1

    Sir you are so conceptual

  • @tarifchowdhury7981
    @tarifchowdhury7981 3 роки тому

    Live long brother.
    Ur the best teacher i have ever seen

  • @lawrynuts480
    @lawrynuts480 2 роки тому

    You made me fell in love with mathematics

  • @yashraj8028
    @yashraj8028 2 роки тому

    I have to admit your content quality is clean af 😊

  • @bangtan8494
    @bangtan8494 2 роки тому

    Thank you for this, it help me a lot. I am doing an advance study since we have a calculus 2 course this semester. Have a nice day ahead🦋

  • @ishangupta4958
    @ishangupta4958 4 роки тому

    Thanks alot dude, this was well made and thought out and with your videos I was able to pass my university entrance exams and get admission into a german university

  • @prabhsharankaur5113
    @prabhsharankaur5113 2 роки тому

    please you saved my calculus midterm

  • @jedidiahkumor5753
    @jedidiahkumor5753 4 місяці тому

    I wish I can give more than one like, I would have given you million likes👍👍👍👍👍👍

  • @deshawnburton7114
    @deshawnburton7114 2 роки тому +1

    Dude the way you just explain everything so simply unlike my lecturers who phrase it in the most fucking confusing way possible to make me fail. I could kiss you🥺

    • @3f3f-y4m
      @3f3f-y4m Рік тому

      Are we in the same class?

  • @bhaveerathod2373
    @bhaveerathod2373 11 місяців тому +1

    at 30:26 it should be -1/2 instead of -2, still AMAZING VIDEO!!

  • @minnie4973
    @minnie4973 6 років тому +3

    This new khan academy guy is my favorite 😃😃😃😃😃♥️♥️

  • @miguelposada3684
    @miguelposada3684 Рік тому +9

    thank you for the video it was extremely helpful! also, min 30:34 I believe is -1/2 instead of -2. please let me know :)

  • @Anilator609
    @Anilator609 7 років тому +5

    You are my HERO. Thanks for all the work.

  • @amirk27
    @amirk27 7 років тому +20

    thank you so0o much GOD blessed you always

  • @education-mode
    @education-mode 2 роки тому

    Hey he's my superstar organic chemistry tutor love you so much🙂✨

  • @andrewappiah857
    @andrewappiah857 6 років тому

    you have saved my calculus

  • @AllDayErrDay.
    @AllDayErrDay. 2 роки тому

    Are you sure you're not a physical chemistry teacher as well? The end of this video definitely has to do with what we are learning in physical chemistry right now.

  • @xy-pu5ti
    @xy-pu5ti Рік тому +1

    30:25 it should be -1/2 not -2, but otherwise great video. helped me alot so thank you

  • @kendaiis2346
    @kendaiis2346 5 років тому

    this man is my savior

  • @martynas6536
    @martynas6536 2 роки тому

    26:07 just marking here as a polish student who didnt have integration in hs so needs to learn it before uni starts

  • @devondevon4366
    @devondevon4366 4 роки тому +1

    7:04 (2x-3)(3x+1) 6x^2 -7x- 3 = 18 x^3/3 - 7x^2 - 3x + c Answer= 6x^3- 7x^2- 3x + c

  • @alifrasya3604
    @alifrasya3604 4 дні тому

    01:10:38 (Belajar tentang teoir rieman sum left, right,middle, definite anti definite lalu belajar Sn rule)

  • @nihatdonmezov8354
    @nihatdonmezov8354 3 роки тому +7

    In 30:36, I think it must have been (1/-2 ln|5-4x|) instead of 2ln

  • @amanbayevakarakoz3070
    @amanbayevakarakoz3070 7 місяців тому

    Thanks very much. I had been illed when my class was about learning integrals, also I had surgery at that time so that I can't go to the lessons for now only thanks to you I learned the integrals in 2 hours 😭😭😭😭😭🥳🥳🥰🥰🙂‍↕️🥹

  • @mduz1069
    @mduz1069 6 років тому +3

    better than my teacher

  • @red12316
    @red12316 5 років тому

    King of math. Period.

  • @doninoobsh9581
    @doninoobsh9581 5 місяців тому +2

    2:19:47 I guess there is supposed to be (t^3)/2, not just t^3

    • @doninoobsh9581
      @doninoobsh9581 5 місяців тому

      Finally I watched this video fully, thanks a lot!!!

  • @astronix4720
    @astronix4720 2 місяці тому

    58:44 to 59:32 error found, delta x is =1 so the area is also wrong since we count in 1s not 2s when using the number line and that messes up the multiplication for the area which is correctly=204 and not 240

  • @ahmedabdulkerimyusuf9511
    @ahmedabdulkerimyusuf9511 3 роки тому

    Yes I agree. There is always so many heart thankfully to you.

  • @preetijoshi1437
    @preetijoshi1437 6 років тому

    I want to see you and say thanks...you are such a great human being...

  • @olof572
    @olof572 4 роки тому

    Excellent! This video was just what i was looking for!

  • @meenaneelu8694
    @meenaneelu8694 2 роки тому

    Thank u so much u made integral very simple

  • @thex4716
    @thex4716 2 роки тому

    His voice is too soothing I always go to sleep

  • @iustintaga
    @iustintaga 6 років тому +2

    MAN IM ONLY 9 AND IM DARING TO SKIP A FEW YEARS . THANKS!!!!!!!

    • @kingofthecosmos3253
      @kingofthecosmos3253 5 років тому +1

      Nice, the basics are so important though. You need to have really good algebra and trig to fully understand the calculus. But you can do it

  • @kimpachis8841
    @kimpachis8841 5 років тому +12

    i always forget to include the constant in the end

  • @KelvinPhiri750
    @KelvinPhiri750 5 місяців тому

    Absolutely amazing ❤

  • @stephenokpala6589
    @stephenokpala6589 2 роки тому

    thank you very much sir, you have really helped alot of us here

  • @eastside_boyz
    @eastside_boyz 3 роки тому

    your basically my lecture dude