Trapezoidal Rule

Поділитися
Вставка
  • Опубліковано 2 лис 2024

КОМЕНТАРІ • 184

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Рік тому +7

    Final Exams and Video Playlists: www.video-tutor.net/
    Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
    Next Video: ua-cam.com/video/7EqRRuh-5Lk/v-deo.html

  • @FoxyWoxy-pc8jj
    @FoxyWoxy-pc8jj 2 роки тому +343

    I just love that after a 2 hour lecture from my teacher nothing makes sense and then a 12min video and it all fits together. I love our education system

    • @Lana45367
      @Lana45367 2 роки тому +1

      maybe you are stupid

    • @ruffy6506
      @ruffy6506 2 роки тому +11

      because the teacher wants to give knowledge this wants you to give you grades LOL

    • @jannes6693
      @jannes6693 2 роки тому

      It makes me angry that I pay for a shithead to read off his (super badly made) slides which is a waste of my time, while this video does it for free and in 1/4th the time. Our school system is so outdated, it's unreal.

    • @tek1645
      @tek1645 2 роки тому +44

      @@ruffy6506 "knowledge", seems like an excuse for not being able to explain properly

    • @biga7682
      @biga7682 11 місяців тому +1

      because your gay.

  • @kiddflash9294
    @kiddflash9294 5 років тому +835

    guys, remember to turn off your adblocker for UA-camrs like this dude!

    • @Sol-01
      @Sol-01 4 роки тому +8

      why

    • @kaero2
      @kaero2 4 роки тому +102

      @@Sol-01 to support him

    • @codeaperture
      @codeaperture Рік тому +3

      @@Sol-01 more support

    • @Sol-01
      @Sol-01 Рік тому

      @@codeaperture how?

    • @Sol-01
      @Sol-01 Рік тому

      @@kaero2 I don't have an adblocker to begin with. Can you get it on UA-cam?

  • @stevelangstroth5833
    @stevelangstroth5833 3 роки тому +111

    41 years ago I had trouble understanding this. NOW, I understand it!!
    Thanks!

  • @allencymba6207
    @allencymba6207 4 роки тому +213

    thank you very much sir i was lost now im found.

    • @jamien.5528
      @jamien.5528 3 роки тому +2

      ArE yOu loSt bAbYgiRl¿ Oh...

    • @couragecrusader7649
      @couragecrusader7649 3 роки тому +2

      You are a good person I am proud of you buddy.

    • @tanzimmehran8317
      @tanzimmehran8317 2 роки тому +2

      Allen Cymba did you find yourself out yet?

    • @fafiethamae
      @fafiethamae 19 днів тому

      ​@@tanzimmehran8317😂😂😂

  • @armoredwatermelon
    @armoredwatermelon 3 роки тому +17

    I have spent weeks trying to figure out why I can't understand a single one of these problems until now. The number line totally made it click for me.

  • @georgesadler7830
    @georgesadler7830 Рік тому +7

    Professor Organic Chemistry Tutor, thank you for an exceptional video/lecture on the classical Trapezoidal Rule in Calculus One/Two. The Trapezoidal Rule is an excellent way to approximate Definite Integrals which cannot be Integrated in closed form in Calculus. This is an error free video/lecture on UA-cam TV with the Organic Chemistry Tutor.

  • @gaby4061
    @gaby4061 4 роки тому +194

    Who's here cramming for the AP Calc exam on Tuesday
    Edit: I got a 5!

    • @michaellu1147
      @michaellu1147 4 роки тому +3

      mee

    • @gaby4061
      @gaby4061 4 роки тому +2

      @@michaellu1147 Good luck bro

    • @michaellu1147
      @michaellu1147 4 роки тому +3

      @@gaby4061 no u

    • @Scrappycoco0917
      @Scrappycoco0917 4 роки тому +1

      Gaby me but I’m confused if we need to absolute value this if we get a negative cause my teacher said something about absolute value when you find the area under the curve idk if any of y’all know

    • @gaby4061
      @gaby4061 4 роки тому +1

      @@Scrappycoco0917 If you get a negative value it's probably because more of the graph is below the x-axis, in which case I'm pretty sure you need to keep the number negative if it is. Then again, I wouldn't recommend listening to someone random on UA-cam, so ask your teacher or do some research and tell me what you find

  • @chasepinkerton4294
    @chasepinkerton4294 5 років тому +48

    Came for the trapezoidal rule, but learned them all haha

  • @shoriness
    @shoriness 4 роки тому +13

    Taking AP Calc AB over the summer, this vid saved my grade 🥺 the clarity is real

    • @garnetBUNNIES
      @garnetBUNNIES 3 роки тому +2

      Hey im taking AP too! But for me it's the whole school year

  • @kimdanielestoy3888
    @kimdanielestoy3888 2 роки тому +3

    I graduated as engineer 10 yrs ago and I just learned this today.

  • @AllOfTheAboveChannel
    @AllOfTheAboveChannel 3 роки тому

    Ah we meet again old friend. Clock ticking down on submission time, and here you are, saving my ill understanding rear in a calm, clear and understanding manner

  • @nickhong44444
    @nickhong44444 4 роки тому +8

    Love you. You saved my ass from the midterm 1!!!!

  • @kylecatman7738
    @kylecatman7738 5 місяців тому

    Dude helped me with my Chem E degree! You aren't too smart to watch his videos, take it from the masta!!!! Thanks TUTOR!

  • @Speartheman
    @Speartheman 5 років тому +17

    Thank you. Clear and concise

  • @hafsaomar9561
    @hafsaomar9561 3 роки тому +2

    Your the BEST TEACHER EVER!

  • @eryzish
    @eryzish 6 років тому +19

    love your tutorials! thank you!

  • @elprofeobeso2310
    @elprofeobeso2310 4 роки тому +25

    Congratulations. What software do you use for creating your videos? They are very easy to see. Thanks

  • @softwareengineer8923
    @softwareengineer8923 Рік тому +2

    Thanks for a great and clean explanation

  • @bluefroggie
    @bluefroggie 2 роки тому +1

    Thank you sm, my understanding goes from 0 to 8 real quick. Need more excercises to get another 2😁

  • @emmanuelolaosebikan8211
    @emmanuelolaosebikan8211 Рік тому +18

    Engineering guys watching this a night before their exams 😂

  • @HappyAngiee
    @HappyAngiee 3 роки тому +2

    Omg! This is so much easier to understand. Thank you!

  • @tahashahid5573
    @tahashahid5573 Рік тому

    Thank you so much for these short and to the point lectures, Teachers at Uni made me hate this subject( I still do but at least I can solve questions now while understanding what I am doing )

  • @TobyAnderson
    @TobyAnderson 3 роки тому +3

    My lecturer refuses to teach me the method so I have to find lessons on youtube in order to pass the tests of the course that I pay for.

  • @laxmirajmoon4351
    @laxmirajmoon4351 3 роки тому

    May your thinking abilities and finger tips be Blessed 🙏💞

  • @chamithdilshan3547
    @chamithdilshan3547 3 роки тому +2

    Thank you! You saved me!

  • @gecaprathamesh6583
    @gecaprathamesh6583 2 місяці тому

    Thank you! Good practice 😊

  • @userr_aa
    @userr_aa 3 роки тому +16

    Am I the only one who thinks his voice is so romantic+cool? HHAHAAHAAHAH

  • @rachansirikeaw8634
    @rachansirikeaw8634 3 роки тому

    Thanks very good explanation keep doing this

  • @maybinsikanyika256
    @maybinsikanyika256 2 роки тому

    Thank you so much for making me understand ❤️

  • @NalubegaBenadeth
    @NalubegaBenadeth 3 місяці тому +1

    Great thanks

  • @MH-os3de
    @MH-os3de 4 роки тому +2

    You help so much!!

  • @ryo-kr9jx
    @ryo-kr9jx 2 роки тому

    you are a legend

  • @shumirailjack3131
    @shumirailjack3131 3 роки тому

    thank you so much. please do the pappus theorem

  • @nabeelmalik.4714
    @nabeelmalik.4714 4 роки тому

    Sir you are very nice and helping others. Thankful to You

  • @aphelmusonda5253
    @aphelmusonda5253 2 роки тому

    live long my prof.

  • @VidaConIzzy
    @VidaConIzzy 4 роки тому +6

    so we don't actually integrate anything at any point?

    • @Mujahed.
      @Mujahed. 3 роки тому

      Yeah seems like it

  • @rosaa.7838
    @rosaa.7838 5 років тому +2

    thank you so much Sir!

  • @proplayerpak619
    @proplayerpak619 Рік тому

    Kindly upload Linear regression and Non linear regression

  • @officerxrp3261
    @officerxrp3261 3 роки тому +1

    S tier youtuber

  • @leahbenson6918
    @leahbenson6918 3 роки тому +3

    What about the 2f(xn-1)?

  • @hamzehabuabed6333
    @hamzehabuabed6333 4 роки тому

    Excellent thanks for you

  • @kyurel
    @kyurel 5 років тому +2

    your voice sounds so great and I only wish you could have your very own studio to record in hq

  • @gh5030
    @gh5030 5 років тому

    Great job,Thank you so much..

  • @Janicesaheed
    @Janicesaheed 4 роки тому +1

    Amazing thank you

  • @Enrommie
    @Enrommie 5 місяців тому

    I don’t even remember this being mentioned in class

  • @lastchance8142
    @lastchance8142 3 роки тому +3

    Why do we bother with approximate techniques when we know how to integrate definite intervals?
    It's nice to know from an historical prospective, I guess, but it's a waste of time and just seems to drag out our Calculus curriculum.

    • @joshuagarcia7216
      @joshuagarcia7216 3 роки тому

      My professor recently told me that you can use trapezoidal/simpsons rule in real life engineering type scenarios where you need to take the approximate volume of an area to figure out how much supplies you’d need or something of that sort. Using definite integrals would be near impossible to find the volume of a mountain but these rules here allow for a close approximation to the exact answer.

    • @ltfguitar
      @ltfguitar 24 дні тому

      I'd gladly use trapezoids over long analytical solutions

  • @Mawethu2
    @Mawethu2 5 років тому

    Its liberating video. But using Trigonometric equations?

  • @transformedminds.6890
    @transformedminds.6890 3 роки тому

    very helpful!

  • @thataintme
    @thataintme 3 роки тому +1

    Can anyone explain how he solved the water tank question? The question asked for the amount of water in the FIRST HOUR. But I didn't see any modification he did there

  • @gB-gm7vy
    @gB-gm7vy 3 роки тому

    thank you

  • @Alejandro14300
    @Alejandro14300 3 роки тому

    thank you.

  • @denisbelibrov8027
    @denisbelibrov8027 8 місяців тому

    JG is from the Mas coz of how he says 40. lmk if im wrong

  • @nihatdonmezov8354
    @nihatdonmezov8354 3 роки тому

    Cannot thank you enough

  • @Backflipmarine
    @Backflipmarine 4 роки тому +1

    Is there a way to see how many likes are within 5 seconds of the video loading? I feel like I'm not alone in doing this

  • @ImalshaAkalanka-dd6hp
    @ImalshaAkalanka-dd6hp 7 днів тому

    Thankyou!

  • @jdawg931
    @jdawg931 3 роки тому

    thanks

  • @CadeMantie
    @CadeMantie 8 місяців тому

    Why exactly are the middle parts in the trapezoidal rule multiplied by 2 and the outside ones are not? I am not really understanding how that works.

  • @sarahbiebah
    @sarahbiebah 5 років тому

    In most of the questions I'm solving, n is not given. We assume it is 1. And for Simpson's rule, we assume it is 2. Is there any reason?

  • @jamielin1705
    @jamielin1705 4 роки тому

    What’s the difference in solving a problem (ones involving a table) using trapezoidal rule and trapezoidal sum?

    • @gaby4061
      @gaby4061 4 роки тому +2

      Same thing, just different names

  • @Tetrahedr0l
    @Tetrahedr0l 2 роки тому

    God made some great human beings and this is definitely one of them

  • @abrhaleytesfay6488
    @abrhaleytesfay6488 5 років тому

    THANKS

  • @ahmedsh231
    @ahmedsh231 5 років тому +3

    I love you

  • @sparemedat5453
    @sparemedat5453 Рік тому

    Why do we multiply the middle values by 2 though I don’t get it

  • @DennisZIyanChen
    @DennisZIyanChen 3 роки тому

    do you know why integrating discrete acceleration data leads to drift in the extrapolated velocity data?

  • @lou.104
    @lou.104 3 роки тому +2

    can n be any number?

  • @allaamohamed6976
    @allaamohamed6976 11 місяців тому

    why did we take only 5 points in the right/left end point rule? I mean why don't we just take the six points

  • @hiratech7872
    @hiratech7872 5 місяців тому

    Guyz please help me i read the same formula for composite trapezoidal even chat gpt tell me the formula for composite and trapezoidal methods for both same. I am so confused whats the difference between them ?

  • @John-lf3xf
    @John-lf3xf 5 років тому

    SUPER LOGIC

  • @techinafrica6760
    @techinafrica6760 3 роки тому

    whos here from numerical at HIT😂😂😂😂

  • @abdulrahmanradwan2046
    @abdulrahmanradwan2046 4 роки тому

    Nice

  • @Abhishek-ji3id
    @Abhishek-ji3id Рік тому +1

    340 is equal to 333.333 well approximately.😔

  • @selimbulgan2541
    @selimbulgan2541 6 років тому +9

    Sİr, where are you from? you have definitely american accent but sometimes you really sound strange.

  • @afiqadli2177
    @afiqadli2177 2 роки тому +5

    your video a bit confusing

  • @buddhaabuser
    @buddhaabuser 2 роки тому

    nooiice

  • @cynthiakeziah4487
    @cynthiakeziah4487 Рік тому

    Thanks😂

  • @AbdulRehmanAbdulAziz
    @AbdulRehmanAbdulAziz 5 років тому

    How to calculate incremental area under curve

  • @shauryadeep4009
    @shauryadeep4009 6 місяців тому +1

    at 8:43 , how n is 6 ?

  • @lakshyarohilla6317
    @lakshyarohilla6317 Рік тому

    Can someone explain why the first and last values dont get multiplied by 2 I'm a bit confused by that

  • @andutimilehin3244
    @andutimilehin3244 2 місяці тому

    Okay I'm having an exam today
    Am I cooked?? No

  • @baranhazar000
    @baranhazar000 4 роки тому +1

    Why f(x)=x^2 ? Can someone please tell me?

  • @이명재-x5c
    @이명재-x5c 5 років тому +1

    Isn't that 2? (10-0)/n = 2???
    Not 2/2

    • @kinglimpang8067
      @kinglimpang8067 5 років тому +4

      It's (60-0)/6 =10, then 10/2=5. The formula itself has /2

  • @itismefinn
    @itismefinn Рік тому

    idk why but the things my lecturer teach is so different from this and not understandable

  • @coopermoore5541
    @coopermoore5541 Рік тому

    around 5:50 f of x was x squared why was it 2

  • @md.rafiulislamrifat1049
    @md.rafiulislamrifat1049 9 місяців тому

    What about the 2f(xn-1)?

  • @woodswoody5553
    @woodswoody5553 2 роки тому

    why x^2 for f(x)

  • @juv0022
    @juv0022 Місяць тому

    How did you get n?

  • @ccuuttww
    @ccuuttww 4 роки тому

    Can we have gaussian quadrate ?

  • @CrumbleMemes
    @CrumbleMemes 3 роки тому +1

    Mark Wahlberg!!?????

  • @tjb19861124
    @tjb19861124 Рік тому

    I don't understand @ 5:42 why is f(x)=x squared?

  • @heathercita1986
    @heathercita1986 4 роки тому +1

    Can u be my tutor 🤓

  • @faithelias2798
    @faithelias2798 2 роки тому

    God loves you

  • @WeddingWhims
    @WeddingWhims Рік тому

    Why is n 6 not 7

  • @contentguru6590
    @contentguru6590 5 років тому +2

    You are too much..... Keep it up...

  • @joshuabittner3658
    @joshuabittner3658 2 роки тому

    The last example isn't a really good one personally. It gives you the answer in the question. The question asks for the amount of water accumulated after 1 hour. 60min = 1hr as we all know. In the chart it says that for 60min the rate is 6.2gal/min. So.......6.2*60= 372gal. No need for a trapezoidal rule.

  • @dex6723
    @dex6723 2 роки тому +1

    You pay for a tutor? Lmao

  • @عليآلخفاجي-ث9ط8ت
    @عليآلخفاجي-ث9ط8ت 5 років тому

    مافتهمت

  • @aqibalam1135
    @aqibalam1135 4 роки тому

    i luv you yum yum love u 4 saving my lyfe

  • @mohamedsahilali8809
    @mohamedsahilali8809 2 роки тому

    1.25x gang

  • @ryanclark1250
    @ryanclark1250 4 роки тому

    👳🏾‍♂️🛩🏢🏢💥