Midpoint Rule & Riemann Sums

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  • Опубліковано 10 гру 2024

КОМЕНТАРІ • 96

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Рік тому +7

    Applications of Integration - Free Formula Sheet: bit.ly/3ZdKSnK
    Calculus 1 Final Exam Review: ua-cam.com/video/WmBzmHru78w/v-deo.html
    Next Video: ua-cam.com/video/ctEpKZyxqFU/v-deo.html

  • @danielukpe4851
    @danielukpe4851 4 роки тому +454

    My Guy you literally saving my degree here

  • @rubenrenteria8542
    @rubenrenteria8542 4 роки тому +133

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

  • @xiongchristy
    @xiongchristy 5 років тому +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! ❤️❤️❤️

  • @anicredible2765
    @anicredible2765 10 місяців тому +19

    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.

  • @georgesadler7830
    @georgesadler7830 Рік тому +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 UA-cam TV with the Organic Chemistry Tutor.

  • @euclid9492
    @euclid9492 5 років тому +44

    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 роки тому +2

      Yes and also maths for thought

    • @bs7363
      @bs7363 Рік тому +1

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

  • @chriswilliams5291
    @chriswilliams5291 Рік тому +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 років тому +88

    How could you dislike his videos :(

    • @cassied9327
      @cassied9327 4 роки тому +19

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

    • @danivinu8701
      @danivinu8701 3 роки тому

      Some men just want to watch the world burn

    • @tzerou411
      @tzerou411 5 місяців тому

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

  • @arwinsepahram9181
    @arwinsepahram9181 Рік тому +1

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

  • @jillchan167
    @jillchan167 4 роки тому +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. 😊

  • @achingaster1199
    @achingaster1199 3 роки тому +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.

  • @jeremyhopkins4622
    @jeremyhopkins4622 6 років тому +33

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

    • @arjay_2002
      @arjay_2002 3 роки тому +1

      i see khanacademy more for high school students

    • @markusdescheneaux5986
      @markusdescheneaux5986 3 роки тому +2

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

  • @_blueshift_3976
    @_blueshift_3976 6 років тому +19

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

  • @johnettipio
    @johnettipio 3 роки тому +4

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

  • @architect8675
    @architect8675 4 роки тому +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.

  • @ahmedgad9400
    @ahmedgad9400 Рік тому

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

  • @abdiwarithwonwaka7345
    @abdiwarithwonwaka7345 7 місяців тому

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

  • @davidkwon1872
    @davidkwon1872 4 роки тому +1

    Jeez, your so good at explaining

  • @KiranAshraf-pf6zt
    @KiranAshraf-pf6zt 11 місяців тому

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

  • @eddycriollo5556
    @eddycriollo5556 Рік тому

    you deserve the world

  • @WarriorAjk
    @WarriorAjk 2 роки тому +3

    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.

  • @Chelsea2009FC
    @Chelsea2009FC 5 років тому +1

    Very relaxing voice to listen to in the background while studying

  • @LudwigSpiegel
    @LudwigSpiegel 3 роки тому +1

    Beautifully explained!

  • @finleypetit5197
    @finleypetit5197 3 роки тому +1

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

  • @mishaldurrani125
    @mishaldurrani125 6 років тому +7

    Thank you! I love your videos

  • @ChancyNeatwell
    @ChancyNeatwell 10 місяців тому

    Bro you are doing a good work

  • @majestic7768
    @majestic7768 Рік тому

    Very nicely explained.

  • @ella_lovelife9641
    @ella_lovelife9641 4 роки тому

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

  • @malithjayalath6417
    @malithjayalath6417 3 роки тому

    Very helpful explanation thank you❤

  • @selmancelik9335
    @selmancelik9335 6 років тому +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 роки тому +1

      Yep he made a mistake there.

  • @magicicicle2504
    @magicicicle2504 4 роки тому

    thank you, you saved my grade

  • @willbutcher5083
    @willbutcher5083 2 роки тому

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

  • @obww306
    @obww306 Рік тому

    thanks sir, you are helping well :)

  • @anthonytakouam2392
    @anthonytakouam2392 2 роки тому +1

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

  • @aurumyt223
    @aurumyt223 4 роки тому +1

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

  • @ayamusa1439
    @ayamusa1439 23 дні тому

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

  • @abdulrahmanmohamed4131
    @abdulrahmanmohamed4131 5 років тому

    Great as usual!!

  • @uwamahoroisabelle4678
    @uwamahoroisabelle4678 Рік тому +1

    What can you do if you have the decimal..

  • @voltycclipz8384
    @voltycclipz8384 2 роки тому +1

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

    • @yunyung
      @yunyung Рік тому +1

      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)

  • @simonpangan7470
    @simonpangan7470 3 роки тому +1

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

    • @monishaav5411
      @monishaav5411 3 роки тому +1

      n is the 4 sub intervals which is equally divided

  • @josefurlan7999
    @josefurlan7999 4 роки тому

    I love math classes

  • @ratandeep6694
    @ratandeep6694 4 роки тому

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

  • @stuxx8843
    @stuxx8843 2 роки тому +4

    0:54 why is n=4??

    • @yunyung
      @yunyung Рік тому +1

      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

  • @ItsLexrr
    @ItsLexrr 3 роки тому

    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

  • @botainalilangan8102
    @botainalilangan8102 3 роки тому

    Fantastic! Thanks :)

  • @mehedihm
    @mehedihm 4 роки тому

    Thank you

  • @justinswag3403
    @justinswag3403 6 років тому

    Love ur vids

  • @uditsaxena3844
    @uditsaxena3844 4 роки тому +1

    awesome

  • @jesusquinonez3628
    @jesusquinonez3628 4 роки тому +5

    How do I calculate n ?

    • @zambotwu
      @zambotwu 3 роки тому +2

      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 років тому

    Are these all calculus 1 videos? Please answer

    • @alialden1258
      @alialden1258 6 років тому +3

      Calc 2 intro

    • @jacquescoury2979
      @jacquescoury2979 5 років тому +1

      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...

  • @mariamabdelatef5193
    @mariamabdelatef5193 Рік тому

    bruh i should pay you my college tuition

  • @swamiyoda8926
    @swamiyoda8926 6 років тому +2

    First comment again😆😆😆😆😆

  • @lucasisasi9759
    @lucasisasi9759 11 місяців тому

    How u got the “n”?

    • @nexon7610
      @nexon7610 10 місяців тому

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

  • @Maniimula
    @Maniimula 3 роки тому

    what is n ?

    • @monishaav5411
      @monishaav5411 3 роки тому

      n is the 4 sub intervals which is equally divided

    • @selulekotsabedze9137
      @selulekotsabedze9137 2 роки тому

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

  • @xJinzoh
    @xJinzoh 5 років тому

    what if b-a=0???

    • @osama9659
      @osama9659 5 років тому

      Its fine because that means the interval has no area

    • @xJinzoh
      @xJinzoh 5 років тому

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

    • @ashantinyongo7632
      @ashantinyongo7632 4 роки тому +4

      It means it’s a point bruh

  • @FelixBama-ky1ew
    @FelixBama-ky1ew 8 місяців тому

    He is

  • @allzpark
    @allzpark Рік тому

    i love u

  • @jackwells7482
    @jackwells7482 5 років тому +1

    Why you got a perpetual cold

  • @fallingpotato9221
    @fallingpotato9221 2 роки тому

    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 Рік тому

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

  • @KiranAshraf-pf6zt
    @KiranAshraf-pf6zt 11 місяців тому

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

  • @negarfarahbakhsh4890
    @negarfarahbakhsh4890 4 роки тому

    thank you