Midpoint Rule & Riemann Sums

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  • Опубликовано: 12 янв 2025

Комментарии • 98

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Год назад +7

    Applications of Integration - Free Formula Sheet: bit.ly/3ZdKSnK
    Calculus 1 Final Exam Review: ruclips.net/video/WmBzmHru78w/видео.html
    Next Video: ruclips.net/video/ctEpKZyxqFU/видео.html

  • @danielukpe4851
    @danielukpe4851 4 года назад +461

    My Guy you literally saving my degree here

  • @rubenrenteria8542
    @rubenrenteria8542 4 года назад +136

    Your the reason I'm gonna pass calc, I hope you understand that your doing what some teachers cant

  • @anicredible2765
    @anicredible2765 11 месяцев назад +22

    I have to worship you every single day. I just got my math result. I got GPA 4 for calculus I and II.
    Glad that u exist.

  • @xiongchristy
    @xiongchristy 5 лет назад +161

    Thank you so much. I’ve been struggling with calculus, and it has really made me questioned if I should keep going. After watching your videos, I felt a lot more confident and comfortable with calculus. I really appreciate your time in making these videos! ❤️❤️❤️

  • @georgesadler7830
    @georgesadler7830 Год назад +10

    Professor Organic Chemistry Tutor, thank you for another exceptional video/lecture on the Midpoint Rule and Riemann Sums in Calculus One. This is an error free video/lecture on RUclips TV with the Organic Chemistry Tutor.

  • @euclid9492
    @euclid9492 5 лет назад +45

    You, Patrickjmt and BlackPenRedPen are the best Calculus youtube channels! I am going to college online and having these videos really helps! I don`t like it when people talk down about their professors to lift up youtube teachers, but I think that these videos are key to feeling comfortable with these techniques in practice, as most professors only have time to really go into the concepts and lightly touch on techniques. Thank you for offering your help!

    • @chikanmao8326
      @chikanmao8326 4 года назад +2

      Yes and also maths for thought

    • @bs7363
      @bs7363 Год назад +1

      Don’t forget Brian McLogan either, he’s a real G

  • @chriswilliams5291
    @chriswilliams5291 Год назад +5

    I have been watching your calc videos to prepare for calculus one that I will be taking over the summer. I really appreciate how you're so good at explaining difficult concepts.
    Not only is finding the definite integral faster, but it is also the actual answer. It makes it harder to learn the longer methods such as the midpoint rule knowing that the answer is less accurate and takes longer, but I guess if we have to know this for calculus it's worth putting in the extra effort.

  • @nicholasmaloof8378
    @nicholasmaloof8378 5 лет назад +90

    How could you dislike his videos :(

    • @cassied9327
      @cassied9327 4 года назад +21

      I always just imagine them hitting the dislike button in some sort of freak accident. 😂🤷🏻‍♀️

    • @danivinu8701
      @danivinu8701 3 года назад

      Some men just want to watch the world burn

    • @tzerou411
      @tzerou411 6 месяцев назад +2

      They were crying too hard out of thankfulness and hit the wrong button

  • @arwinsepahram9181
    @arwinsepahram9181 Год назад +1

    One of the best people to ever walk this Earth. We love you.

  • @jillchan167
    @jillchan167 4 года назад +13

    You are totally awesome. How I wished all instructors teach as you do. Thank you, your tutorials really are such a big help. Hoping you could make some videos regarding abstract algebra. 😊

  • @_blueshift_3976
    @_blueshift_3976 6 лет назад +19

    Im very appreciative of your videos man, keep up with the great work...

  • @achingaster1199
    @achingaster1199 3 года назад +1

    Thank you. I missed class today, and I was going to cry over homework I couldn’t begin to understand. You made it better.

  • @johnettipio
    @johnettipio 3 года назад +4

    Another thorough and understandable explanation, your videos have been very helpful. Merry Christmas!

  • @jeremyhopkins4622
    @jeremyhopkins4622 6 лет назад +34

    You are better than khanacademy
    Im so glad I found your channel /cry

    • @arjay_2002
      @arjay_2002 4 года назад +1

      i see khanacademy more for high school students

    • @markusdescheneaux5986
      @markusdescheneaux5986 3 года назад +2

      @@arjay_2002 Nah I'm high school and this guy explains it so much more concisely and quickly

  • @architect8675
    @architect8675 4 года назад +1

    Holy shit, thank you so much bro, I have been navigating the whole internet searching formal numerical menthods for improper integrals and you have gave me the last pice of information I needed to understand the segmented quad rule for infinite integrals.

  • @abdiwarithwonwaka7345
    @abdiwarithwonwaka7345 8 месяцев назад

    I want to thank u 🙏🏽🙏🏽 u save my degree from first semester thanks 🙏🏽

  • @Chelsea2009FC
    @Chelsea2009FC 5 лет назад +2

    Very relaxing voice to listen to in the background while studying

  • @KiranAshraf-pf6zt
    @KiranAshraf-pf6zt Год назад

    Your explanation is too good i m speechless here ❤ love from pakistan

  • @WarriorAjk
    @WarriorAjk 2 года назад +4

    At 4:56 they accidently write f(6) instead of f(7). They do fix it later on, but yeah don't get worried, f(7) is correct.

  • @eddycriollo5556
    @eddycriollo5556 Год назад

    you deserve the world

  • @davidkwon1872
    @davidkwon1872 4 года назад +1

    Jeez, your so good at explaining

  • @ahmedgad9400
    @ahmedgad9400 Год назад

    bro u are litteraly life changing and im still in week 2 in the college

    • @Aetherakabane
      @Aetherakabane 21 день назад

      Why do u have chandler photo

    • @ahmedgad9400
      @ahmedgad9400 21 день назад

      @Aetherakabane he is the sigma crewmate

  • @finleypetit5197
    @finleypetit5197 4 года назад +1

    this guy is 10x better than my hack of a professor

  • @mishaldurrani125
    @mishaldurrani125 6 лет назад +7

    Thank you! I love your videos

  • @LudwigSpiegel
    @LudwigSpiegel 3 года назад +1

    Beautifully explained!

  • @ChancyNeatwell
    @ChancyNeatwell 11 месяцев назад

    Bro you are doing a good work

  • @malithjayalath6417
    @malithjayalath6417 3 года назад

    Very helpful explanation thank you❤

  • @majestic7768
    @majestic7768 Год назад

    Very nicely explained.

  • @ella_lovelife9641
    @ella_lovelife9641 4 года назад

    I like the course it is so helpful, i can't understand my professor at all. Thank you so much.

  • @selmancelik9335
    @selmancelik9335 6 лет назад +10

    İ think it must be f(7) instead of f(6) the midpoints are 1 3 5 7 great video dude and i have a question if we are dividing areas for rectangulars why we cant find error at linear functions like ax+b . On the book error func. is f'' h cube divide 3 . i mean for x square we have (2. H cube divide 3) error

    • @WarriorAjk
      @WarriorAjk 2 года назад +1

      Yep he made a mistake there.

  • @abdulrahmanmohamed4131
    @abdulrahmanmohamed4131 5 лет назад

    Great as usual!!

  • @willbutcher5083
    @willbutcher5083 2 года назад

    The ad goes like are the videos from 2006 really helping ?
    My answer: yes they are

  • @magicicicle2504
    @magicicicle2504 4 года назад

    thank you, you saved my grade

  • @ayamusa1439
    @ayamusa1439 Месяц назад

    What do we use the midpoint rule for in the beginning of the video? Is it for the left endpoints?

  • @obww306
    @obww306 Год назад

    thanks sir, you are helping well :)

  • @anthonytakouam2392
    @anthonytakouam2392 2 года назад +1

    Why can't professors explain this this well? Smh. 🙄🙄🤦‍♂️

  • @stuxx8843
    @stuxx8843 2 года назад +4

    0:54 why is n=4??

    • @yunyung
      @yunyung Год назад +3

      He mentioned "We're gonna break it into 4 sub intervals" meaning for his given example, he decided to give it 4 subdivisions. Hence, n=4

  • @voltycclipz8384
    @voltycclipz8384 2 года назад +1

    what if not given any subdivisions, how would u create a formula without using n instead of actual subdivisions

    • @yunyung
      @yunyung Год назад +2

      Without using n, you can technically use the usual integrating technique so as long as you have the a and b and function of the graph. In this video, he's just showcasing how to calculate for the area using Riemann sums (finding the area of the graph by using the sum of areas of rectangles)

  • @uwamahoroisabelle4678
    @uwamahoroisabelle4678 Год назад +1

    What can you do if you have the decimal..

  • @aurumyt223
    @aurumyt223 4 года назад +1

    What software do you use for the calculations? Please let me know.

  • @ItsLexrr
    @ItsLexrr 3 года назад

    Dr why isn't the number of terms 5 in the first example ? doesn't zero count as a term of "n" because from 0 and you divided to 3 points thats 4 and with the 8 thats 5 if you know what i mean, so could u please explain this point to me

  • @simonpangan7470
    @simonpangan7470 3 года назад +1

    How do you get the "n" and what is the "n" represent?

    • @monishaav5411
      @monishaav5411 3 года назад +1

      n is the 4 sub intervals which is equally divided

  • @botainalilangan8102
    @botainalilangan8102 3 года назад

    Fantastic! Thanks :)

  • @justinswag3403
    @justinswag3403 6 лет назад

    Love ur vids

  • @ratandeep6694
    @ratandeep6694 4 года назад

    We should all drop the concept of college and line up in front of you.

  • @josefurlan7999
    @josefurlan7999 4 года назад

    I love math classes

  • @jesusquinonez3628
    @jesusquinonez3628 4 года назад +5

    How do I calculate n ?

    • @zambotwu
      @zambotwu 3 года назад +3

      By now you prolly figured it out but for the sake of the other people, you decide how many rectangles you may want to use. The larger the number although tedious, the better approximation.

  • @sarahlolo2100
    @sarahlolo2100 6 лет назад

    Are these all calculus 1 videos? Please answer

    • @alialden1258
      @alialden1258 6 лет назад +4

      Calc 2 intro

    • @jacquescoury2979
      @jacquescoury2979 6 лет назад +2

      well im learning this in calc 1 but i mean everything you learn you use it for future lessons and stuff so its applicable to calc 2 even more so, idk why it matters tho...

  • @mehedihm
    @mehedihm 4 года назад

    Thank you

  • @mariamabdelatef5193
    @mariamabdelatef5193 2 года назад

    bruh i should pay you my college tuition

  • @lucasisasi9759
    @lucasisasi9759 Год назад

    How u got the “n”?

    • @nexon7610
      @nexon7610 11 месяцев назад +1

      The sub intervals or # of rectangles is how you get n

  • @uditsaxena3844
    @uditsaxena3844 4 года назад +1

    awesome

  • @Maniimula
    @Maniimula 3 года назад

    what is n ?

    • @monishaav5411
      @monishaav5411 3 года назад

      n is the 4 sub intervals which is equally divided

    • @selulekotsabedze9137
      @selulekotsabedze9137 2 года назад

      The number of intervals you wanna make under the graph, note the larger n is, the more accurate your approximation is.

  • @xJinzoh
    @xJinzoh 5 лет назад

    what if b-a=0???

    • @osama9659
      @osama9659 5 лет назад +1

      Its fine because that means the interval has no area

    • @xJinzoh
      @xJinzoh 5 лет назад

      Sleepiest Six so it becomes an indefinite integral? lol or does the function become non-integratable

    • @ashantinyongo7632
      @ashantinyongo7632 5 лет назад +5

      It means it’s a point bruh

  • @swamiyoda8926
    @swamiyoda8926 6 лет назад +2

    First comment again😆😆😆😆😆

  • @FelixBama-ky1ew
    @FelixBama-ky1ew 9 месяцев назад

    He is

  • @allzpark
    @allzpark Год назад

    i love u

  • @jackwells7482
    @jackwells7482 5 лет назад +1

    Why you got a perpetual cold

  • @fallingpotato9221
    @fallingpotato9221 2 года назад

    as useful as this video is for finding approximations, he forgot to apply the limit as n approaches infinity to get the actual Reimann sum. To find the actual answer you just used the fundamental theorem of calculus. when you combine this with the limits and the summation formulas, then you will actually get a Reimann sum.

  • @xmannoor
    @xmannoor Год назад

    babyyyy girl whats yoiur name... lemme talk to you lemme buy you a drank... im T pain

  • @KiranAshraf-pf6zt
    @KiranAshraf-pf6zt Год назад

    Your explanation is too good i m speechless here ❤ love from pakistan

  • @negarfarahbakhsh4890
    @negarfarahbakhsh4890 4 года назад

    thank you