Riemann Sums - Midpoint, Left & Right Endpoints, Area, Definite Integral, Sigma Notation, Calculus

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  • Опубликовано: 30 ноя 2024

Комментарии • 386

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  11 месяцев назад +8

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  • @nasserBack
    @nasserBack 6 лет назад +1223

    Hi Julio. I just got an A in integral calculus and all that is because of ur videos. Your videos were my Primary source of studying. They substitute my lectures, which didn’t make much sense to me. I don’t know how to pay you back. You are the most skillful teacher I have even seen, and my dream is to meet you in person. Thank you very much and I shared your channel with all my friends!

    • @John-bq1lp
      @John-bq1lp 6 лет назад +71

      he has a patreon where you can donate money. i donated to him bc he helped me so much

    • @melissag.1795
      @melissag.1795 6 лет назад +23

      @@John-bq1lp can you explain how I can find this? I would love to donate to him because like you, I have found much benefit from his videos! Thanks!

    • @arthurmead5341
      @arthurmead5341 5 лет назад +6

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    • @laungmagawa8902
      @laungmagawa8902 5 лет назад +89

      It's sad how we're paying huge amounts of money for our classes only to go home and teach ourselves because some professors are really bad at teaching or just don't care enough.

    • @YingCaiProductions
      @YingCaiProductions 5 лет назад +3

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  • @magesticmoron1013
    @magesticmoron1013 4 года назад +513

    This is single handedly saving my calc grade during corona.

    • @legoman2m98
      @legoman2m98 4 года назад

      magesticmoron same

    • @diegoarpino2080
      @diegoarpino2080 4 года назад +11

      i have a test tomorrow that I dont know ANY of the material. This will save me. Hopefully.

    • @Osomsauce
      @Osomsauce 4 года назад

      @@diegoarpino2080 Howd it go, im holding onto a 90.91 in the class and i got 2 more exams.

    • @diegoarpino2080
      @diegoarpino2080 4 года назад +12

      Adrian M. It didn’t go very well. I got a 59 on my final, the other four tests sucked too, and I failed the class. The professor gives us super hard problems on the tests that we are not prepared for. Hopefully I can take the class again and actually get a good grade.
      Good luck to you on your exams, I wish I had a grade like that :)

    • @EZ3James
      @EZ3James 4 года назад +2

      I am SO happy I finished calc 3 class right before corona!

  • @olokpoemmy
    @olokpoemmy 5 лет назад +129

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    @galjoferatovic3660 5 лет назад +2113

    I hear "In this video" and I know everything is going to be okay.

    • @jeremyankamah4737
      @jeremyankamah4737 5 лет назад +28

      exactly!!! especially when i see those lengthy videos that explains a who topic or concept!!

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      @whotrekkier2086 4 года назад +17

      Really? Whenever I hear "in this video", I hear the Hallelujah chorus in the background. Lmao

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      @SuperDa7mi 4 года назад +1

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      @audrickmwabah2189 4 года назад

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    @jimsmith4331 4 года назад +71

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    @shayanlodi6980 2 года назад +50

    I studied for a university’s admission test from your channel and now here i am studying for my finals in the same university on this channel again, grateful to you!

    • @maleksalih5237
      @maleksalih5237 2 года назад

      Best of luck. Let us know how it goes!

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      @nisrinahuwaida-g-g375 Год назад

      omg me too.. this channel helped me a lot back then and here i am coming back to study for my first finals in university.. 🥺 good luck on your final! 🍀🍀🍀

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  • @alwaysdowhateversnext4490
    @alwaysdowhateversnext4490 6 лет назад +45

    dude this is the best explanation of riemann sums on the internet , thanks so much man

  • @Shiroyashasama
    @Shiroyashasama 4 года назад +48

    God this man is a damn legend!!!!! survived calc1 with him and here i am studying for calc2 quiz tmr with him as it's 2am rn. THANK YOU BRO

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    @Motivationhub-rw1zo Год назад +8

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  • @en2336
    @en2336 6 лет назад +23

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    @pReCiOuStHePiMpCeSs Год назад

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    @witchofthetropics3452 2 года назад +12

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      Saaaame, learning calculus for the first time in a summer course is intense

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    @keotshepilemandona9882 6 лет назад +4

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    @jeremyankamah4737 5 лет назад +1

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    @APEKING22 3 года назад +1

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    @nathanandrews8048 3 года назад

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    @whotrekkier2086 4 года назад +5

    Thank you so much for this! I have a calculus test in 3 days and I didnt know the concept at all. You should be a teacher if you're not one already

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    @hawadrammeh8870 4 года назад +2

    I recommend watching the entire video! So helpful

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    @cyataxz5830 Год назад +1

    Thank you so much! I have prior knowledge from taking AP Calculus in high school. I never received my score from College Board, so I am taking Calculus I, which would have been fulfilled by the exam. I thought Calculus I would be a breeze, which it was because the class was not as rigorous as the high school class. However, the limit of Riemann sums and the limit definition of the definite integral were not topics covered in AP Calculus. I found myself lost for the first time in lecture. Thank you for your videos.

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    @ipekgul7305 2 года назад

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  • @abigail1971
    @abigail1971 2 года назад +11

    38:02 - definite integrals (lim as n-> infinity)
    48:45 -example^^

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    This video literally taught me 3 whole sections of my calc textbook. In less than an hour.

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    @dessa8242 5 лет назад +1

    I randomly google to get help for this particular topic, and I got some different videos that add up my confusion(vague) finally, I got yours which is easy to understand momentarily.

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    Its not even that the material is insanely difficult, he just knows how to break it down and explain it well… like seriously how hard is it to explain something as someone who’s studied it for years?? College professors should be ashamed of themselves

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    @DavidMOUSSONGA 9 месяцев назад

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    @nadzondrugs7220 3 года назад

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    @muradulhassan8141 3 года назад +2

    Great video! Saved my quiz. One jind suggestion , please add time tags for individual topics in such long videos thanks.

  • @brenmclean
    @brenmclean 6 лет назад +4

    At 9.14, the Area (Left) is calculated to be 3.25. You then use 3.75 later. Also, my textbook defines the average Area of Left plus Right (1/2 L + R) as the Trapezoid Rule.

    • @John-bq1lp
      @John-bq1lp 6 лет назад

      Yes i agree. He made a mistake

  • @alimudarres1246
    @alimudarres1246 6 лет назад

    Thanks! Even though the presentation was messy and not as professional your thoughts were easy to follow, that is if the person watching has had a general information about the topic before watching. Cheers😊

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    @emmanuelafful5335 7 месяцев назад

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    @taimur660 5 лет назад +4

    lets get this man to a million subs!

  • @user-px1wj2uv3r
    @user-px1wj2uv3r 2 года назад +3

    There's a mistake on problem 1. A sub L = 3.75, which you did get initially but wrote 3.25 when averaging. So the avg of A sub L and A sub R = 4.735.

  • @FezziTalib
    @FezziTalib 2 года назад

    Thanks for helping brother,
    my calculus was just ....😭
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    Thanks Jaani💕

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    @Jawahir-l5u 2 года назад

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    @Liteb1 3 года назад

    Can't believe I got out of online classes to be back to basically studying online :/, this video made so much more sense than my teacher's lecture thank you

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    @TheMbangel 4 года назад +3

    Thank you for explaining everything so well. Too bad I am still failing, since I have to do it my lecturer's way and his is way more complicated...

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    @edmondbatchankwe3424 2 года назад

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    @JohnnyD200 5 лет назад +2

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    @towqir Год назад

    It’s very wonderful video and thank you and god bless you

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    @jesussaquin6266 4 года назад

    You deserve heaven for all of this

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    @cuberdaboi2397 Год назад

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    Yoo my man if I ace this quiz tomorrow it’s entirely because of you 💪

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    I have my exam tomorrow and imma pull an all nighter...watching this at 2x speed. This vdo is super helpful

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    @xavierbuck7179 2 года назад

    Amazing explanation. You translated what originally looked like an alien language to something that makes perfect sense.

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    @namansheth3898 4 года назад

    Very good videos with deep explanation of each and every step. 10/10 would recommend.

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    @audreygross4447 3 года назад

    Explained it better than anyone else! Thank you so much!

  • @derrick8044
    @derrick8044 3 года назад

    7:00 width (delta x) formula, interval (no. of rectangles), points (x) MIDPOINT approximation

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    @quelloroberts6310 3 года назад +1

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    @alexobrien7612 4 года назад

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    @derplerp8412 Год назад

    you deserve a nobel prize

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    @troutymctroutface2956 5 лет назад +3

    Your a LEGEND thank you!

  • @laminkmaane601
    @laminkmaane601 2 года назад

    You are going to be carrying me through my course in calculus 2

  • @brandonconger1699
    @brandonconger1699 6 лет назад +3

    At 56:17 you are doing a sigma notation problem and you’re trying to simplify all n. When you cancelled n^3 shouldn’t there be a 2/6 left over? I think you ignored the 2 and just got rid of it.

  • @roaahedaya1779
    @roaahedaya1779 8 лет назад +22

    I just have a question, If we have arleady have a way to calculate the exact area under the curve which is definite integeral, why would we need to calculate the approximate area by using Riemann's sum

    • @rickybobby5584
      @rickybobby5584 7 лет назад +1

      some questions are given in Riemann sum so this video helps you convert it to the integral form which is much easier to calculate.

    • @tylerrussell7560
      @tylerrussell7560 7 лет назад +3

      Not all integrals are definite integrals, some functions are discontinuous, etc.

    • @JTA146
      @JTA146 7 лет назад +3

      Also if you need to calculate an integral from a data set where there is not function to integrate.

    • @qadoosi09
      @qadoosi09 6 лет назад +3

      Definite Integrals are sometimes called as reiman's integrals because the concept of definite integrals is deduced from the concept of reiman's approximation .so thats why in order to get the concept of definite integrals we must know about reiman's Sum .

    • @ethanjordan3380
      @ethanjordan3380 6 лет назад +5

      more for us to be tested over, thats it lol I mean tO heLp uS unDerStanD coNcepTuaLLy

  • @murad1202
    @murad1202 6 лет назад +9

    You are BEST .! Thank You)

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    @jacksanderson4431 5 лет назад

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    @renccris7705 3 года назад +1

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  • @islombekabdurahmonov1115
    @islombekabdurahmonov1115 Год назад +2

    MISTAKE: LEFT = 3.75. BUT YOU USE 3.25 WHEN CALCULATING AVERAGE OF A(L) + A(R)/2 in 15:23.

  • @itsteej
    @itsteej 2 года назад

    YOURE THE GOAT

  • @orkhansalahov9700
    @orkhansalahov9700 8 лет назад +3

    Very good explanation, thank you too much

  • @AbuzarbhuttaG
    @AbuzarbhuttaG 2 года назад

    nice way of teaching

  • @zaik6597
    @zaik6597 Год назад +1

    i was so lost in calculus before my final and i watched your videos
    i failed but thats ok

  • @Lemon-lh2bv
    @Lemon-lh2bv 3 года назад +1

    Thank you for being you!

  • @nischalshrestha5443
    @nischalshrestha5443 3 года назад +1

    At 14:08 , the area of the left end sum was 3.75 not 3.25