Numerical Integration - Trapezoidal Rule & Simpson's Rule

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  • Опубліковано 8 січ 2025

КОМЕНТАРІ • 144

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  11 місяців тому +5

    Application of Integration - Free Formula Sheet: bit.ly/3ZdKSnK
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  • @marc1001
    @marc1001 Рік тому +65

    small mistake when it's 21:09 because it was 343x2=686 which changes the total answer to 1660, but either way great work, helps a lot in understanding

    • @kabelomapoko8204
      @kabelomapoko8204 Рік тому +8

      thought i was tripping

    • @Satchel_Gizmo
      @Satchel_Gizmo Рік тому +9

      Just spent 10 minutes trying to see where I fucked the problem up only to realize I had the correct answer. Lol

    • @Ghost_of_Morisset
      @Ghost_of_Morisset Рік тому +1

      Thank you.

    • @AbhinavKeshav-l6y
      @AbhinavKeshav-l6y Рік тому +1

      Thanks man! I thought that i went wrong somewhere and came to the comment section to check 😂

  • @pakarmyisizindabad6206
    @pakarmyisizindabad6206 3 роки тому +43

    When i search a problem and see it in your channel, I considered it UNDERSTOOD even before starting video.

  • @obaid.k6588
    @obaid.k6588 7 років тому +94

    sir ...u ought to be our tutor in university....i wish dreams come true....clear voice and sharp explanation...a good understanding...proud of such scholars...

    • @vladvladimirov4399
      @vladvladimirov4399 2 роки тому +4

      Ok indian

    • @sikemen.
      @sikemen. Рік тому +15

      @@vladvladimirov4399 bruh u did not ....

    • @lansulin
      @lansulin Рік тому +7

      @@vladvladimirov4399 says a russian

    • @vladvladimirov4399
      @vladvladimirov4399 Рік тому

      @@lansulin I’m German-American. Not Slavic at all actually.
      But if I was, Russians are still infinitely better than Indians who can’t even use toilets.

  • @clearflow7925
    @clearflow7925 2 роки тому +72

    46:00 for trapezoid error, 46:49 for simpsons error

  • @yifanwang420
    @yifanwang420 6 років тому +153

    You made a mistake when it's 21:09, when the x is equal to 7, the cube of x is 343 and than times two is equal to 686, so the trapezoidal final answer is equal to 3320 and then divided by 2 is equal to 1660, it's not equal to 1641.

    • @CarmensProjects
      @CarmensProjects 4 роки тому +16

      Thank you, I was freaking out about that one lol

    • @ezachle
      @ezachle 4 роки тому +4

      got the same exact thing

    • @hangulaeuzinia6298
      @hangulaeuzinia6298 4 роки тому +1

      I noted that mistake too, 2(343)=686 but not equal to 648

    • @gabrielgafatsi542
      @gabrielgafatsi542 2 роки тому

      same here. I got 1660 as well.

    • @mj339
      @mj339 2 роки тому

      Was just about to post that.

  • @Gabsontech
    @Gabsontech Рік тому +5

    You have impacted my life beyond measure....I pray God bless you with everything you desire and may you live long to continue to impact the life of humans here on earth 🙏

  • @nataliavillalobos2201
    @nataliavillalobos2201 4 роки тому +68

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  • @muleikelsylinda6144
    @muleikelsylinda6144 3 роки тому +16

    You explain better than my lecturers..💞from Kenya

  • @marien1991
    @marien1991 7 років тому +15

    Thank you very much for many of your videos, (sorry at 21:45 minute, Trapezoidal method is giving 1660 not 1641 I think) I can see you are using you head for most of your calculations, you are good.

  • @moinaction
    @moinaction 8 років тому +10

    Thank you very much for all you do. Anytime I need better clarification on Physics or other problems, I like watching your videos. I like the way you explain stuff. Thanks

    • @jamespettinato9921
      @jamespettinato9921 Рік тому

      can some help me at 19:43 we set deltax=1/2, wh is it not 4? b-a/2 is 9-1/2 which equals 4

  • @dominiccirineo4168
    @dominiccirineo4168 5 років тому +95

    I hope you realize how many people absolutely love you

  • @matthewdonaldson4645
    @matthewdonaldson4645 4 роки тому +9

    I had questions about this topic for my homework tonight. My question is how can a guy that sounds like he's 22 a better at teaching than my 45-year-old teacher. Thank you so much

  • @lil4hoseph778
    @lil4hoseph778 3 місяці тому +1

    bro you save so many college student's grades that you deserve to be in a Marvel movie!!!!

  • @zeinaaiman8567
    @zeinaaiman8567 Рік тому

    Ur absolutely my favorite teacher of all times

  • @sharaelhami3283
    @sharaelhami3283 4 роки тому +1

    Thanks! It helped me to understand the subject of the very first lecture of the semester! Good UA-cam videos are more helpful than some of our teachers!

  • @rishiaman2
    @rishiaman2 2 роки тому +8

    41:00 is where error analysis starts

  • @BlackCat-gh8fr
    @BlackCat-gh8fr Рік тому

    Thanks, finally someone who could explain the error counting.

  • @grantgonzales9366
    @grantgonzales9366 6 років тому +46

    Im watching this at 7:40 am and I havr a finals exam at 11

    • @mryup6100
      @mryup6100 4 роки тому

      pm

    • @danieldavison9138
      @danieldavison9138 4 роки тому +1

      Did you pass?

    • @adriantuschek5208
      @adriantuschek5208 4 роки тому +3

      @@danieldavison9138 I want to know this too

    • @jakobsime4190
      @jakobsime4190 4 роки тому

      did you pass?

    • @horikatanifuji5038
      @horikatanifuji5038 4 роки тому +4

      @@jakobsime4190 Hi, update, sorry I lost that account, I actually failed and had to retake that year, but I wouldn't have gotten as far as I did if it wasn't for this video.
      Anyways, I'm finally done with math and the organic chemist really pushed me through.

  • @1111thalamus
    @1111thalamus 7 років тому +33

    I may be wrong... The trapezoidal you do for the integral of x^3 has an error for 2(7^3)=686 you put 648..

    • @hsc4648
      @hsc4648 5 років тому +2

      would have been better if you put the time on where he made mistake?

    • @beeohtea7786
      @beeohtea7786 5 років тому +1

      @@hsc4648 22 minutes in

    • @HarryJohnson69
      @HarryJohnson69 5 років тому +4

      Thank you, I thought I was going crazy lol

    • @bryanlowks6117
      @bryanlowks6117 4 роки тому

      yup

    • @Sant270
      @Sant270 3 роки тому +1

      21:28 I just came to the comments to see if some else spotted.

  • @samuelbassey6806
    @samuelbassey6806 Рік тому

    I love you sir, I hope I can see you and embrace you❤. Your videos help me a lot in school.

  • @jamespettinato9921
    @jamespettinato9921 Рік тому +2

    can some help me at 19:43 we set deltax=1/2, wh is it not 4? b-a/2 is 9-1/2 which equals 4

  • @lahirupamodya6188
    @lahirupamodya6188 7 років тому +2

    great work. very clear voice + good explanation. Thank you.

  • @mehadihasansanto538
    @mehadihasansanto538 3 роки тому +2

    U've done an amazing job, sir. Absolutely phenomenal effort!!❤️

  • @nwaigwecaleb2185
    @nwaigwecaleb2185 5 років тому +9

    I am watching this at 5:52am and I have numerical methods exam by 9am. 😂 I will definitely get an A ☺

  • @jedidiahmanna3863
    @jedidiahmanna3863 4 роки тому +1

    May God bless u! thanks alot for this video..

  • @jaysonnelson5396
    @jaysonnelson5396 5 років тому +15

    Can someone time stamp the portions where he discusses the error bounds of both simpsons rule and the trapezoid rule.

    • @clearflow7925
      @clearflow7925 2 роки тому +2

      46:00 for trapezoid, 46:49 for simpsons

  • @lucasargandona4658
    @lucasargandona4658 4 роки тому

    45:43 In my textbook, the less than or equal to sign gets flipped and only becomes greater than. So n>a number. This is for the Simpson’s rule and I’m assuming it’s done the same way but why does the sign change? There is no negative number.

  • @joeywashington1559
    @joeywashington1559 2 роки тому +2

    Takuya Ooura is interested in algorithms on numerical computation. His main interest is numerical integration, and he has proposed a new double exponential formula to compute the Fourier type integrals. Recently, he also has proposed a continuous Euler transformation which accelerates the convergence of the integrals with slowly decaying integrand.

  • @shelley9167
    @shelley9167 4 роки тому +4

    I wanna meet u! U helped me a lot! ❤️

  • @aqsariaz7696
    @aqsariaz7696 4 роки тому +1

    THANK YOU FOR YOUR VIDEOS ❤️

  • @ThamNguyen-sf2wn
    @ThamNguyen-sf2wn 4 роки тому +6

    hope that one day you can reveal your face to us, please I'm so curious

  • @Cs2Noob69
    @Cs2Noob69 28 днів тому

    28:00 how would you solve this problem with an integral?

  • @ayanaxhye
    @ayanaxhye Рік тому

    I bombed the hw on this section so let me try again xd, thanks so much for this

  • @josephslaybaugh
    @josephslaybaugh Рік тому

    21:01 error: 2*343=686, not 648. The actual answer should come out to 1660

  • @mahsh701
    @mahsh701 3 роки тому

    I hope you are doing well sir
    thank you very much for the good explanation

  • @MoscleBrog
    @MoscleBrog Рік тому

    if this guy comes to my university and they say that if u wanna learn with this lecturer then u need to pay additional fees for it.
    and my poor ass will be gladly paying it

  • @safishahbunder1787
    @safishahbunder1787 13 днів тому

    21:04
    2 times 343 is 686 and you wrote 648

  • @healer0713
    @healer0713 4 роки тому

    Very nice explanation

  • @mcdkatjiuo
    @mcdkatjiuo Рік тому +1

    At the Trapezoidal rule, you made a mistake with your 3rd last number of 648. It should be 686 which at the end , the final answer is not 1641 but 1660. , just recheck it properly.

  • @AmaraMySon-ob8yy
    @AmaraMySon-ob8yy 4 місяці тому

    Hello, lovely explanation. Much appreciated. But i have a question; how do i know which numbers to use as the "n"(the numbers representing how many rectangles)

  • @MindulaMayakaduwa
    @MindulaMayakaduwa 20 днів тому

    in the gallon question when we are using the mid point cant we take the avg between 0-5,5-10....... to get the answer

  • @ahmed9761
    @ahmed9761 7 років тому +8

    i want to donate someday can u put up a link please?

    • @gartyqam
      @gartyqam 3 роки тому

      his youtube page have gofundme

  • @kingjake8376
    @kingjake8376 6 років тому +1

    this awesome sir

  • @nishadr.7637
    @nishadr.7637 3 роки тому

    Note to self - 25:40

  • @emmanuelgyato6867
    @emmanuelgyato6867 3 роки тому +1

    There's a mistake at where you multiply 343 by 2. It's supposed to be 686 and the final answer becomes 1655.5

    • @anonymitynone6957
      @anonymitynone6957 2 роки тому

      the final answer should be 1660

    • @jamespettinato9921
      @jamespettinato9921 Рік тому

      can some help me at 19:43 we set deltax=1/2, wh is it not 4? b-a/2 is 9-1/2 which equals 4

    • @anonymitynone6957
      @anonymitynone6957 Рік тому

      @@jamespettinato9921 for each sub part ,the "b-a" should be h=(b-a)/n

  • @zaza5922
    @zaza5922 6 років тому +4

    How exactly do you determine n?

    • @devinpeterson2119
      @devinpeterson2119 6 років тому

      N is often provided I believe

    • @jakobelgen2
      @jakobelgen2 5 років тому

      Just pick somethinhg that seems reasonable if N isnt provided

    • @seye6557
      @seye6557 5 років тому

      N is the number of trapezoids given in the question

  • @erickperaza7266
    @erickperaza7266 6 років тому +1

    im confused on why 'n' changed for 2 of the three rules

  • @VinothKumar-qo7ry
    @VinothKumar-qo7ry 5 років тому

    Thank you sir 💓

  • @techhacks2572
    @techhacks2572 3 роки тому

    Which app do you use for the blackboard

  • @kylecatman7738
    @kylecatman7738 20 днів тому

    20 min mark
    You didn't have to do delta x/3????? You just did 1/2 for trapezoidal and 1/3 for simpsons, but no b-a/n???

  • @abdulrahmanradwan4324
    @abdulrahmanradwan4324 3 роки тому

    You ought to teach the course in ADU

  • @juliusgachunu5914
    @juliusgachunu5914 2 роки тому +1

    What happens when n=odd in Simpsons rule

    • @basanilik1997
      @basanilik1997 Рік тому

      You cannot apply Simpson rule when n is odd

    • @basanilik1997
      @basanilik1997 Рік тому

      You cannot apply Simpson rule when n is odd

  • @Teddy_boi.04
    @Teddy_boi.04 5 місяців тому

    Are you to choose your own n?

  • @gagnerforex3381
    @gagnerforex3381 4 роки тому +2

    What does the number of rectangles (n) depend on?

    • @jamespettinato9921
      @jamespettinato9921 Рік тому

      can some help me at 19:43 we set deltax=1/2, wh is it not 4? b-a/2 is 9-1/2 which equals 4

  • @bowlineobama
    @bowlineobama Рік тому +1

    Stick with Simpson's Rule. Forget the rest.

    • @MaharaMsefula
      @MaharaMsefula 7 місяців тому

      Some questions are specific and would require one to use a specific method so I personally wouldn't recommend that

  • @abhinavdhull1431
    @abhinavdhull1431 3 роки тому

    can i find notes of these things somewhere?

  • @saraalmadi4747
    @saraalmadi4747 Рік тому

    what about the f(xn-1)

  • @abdulrahmanradwan6167
    @abdulrahmanradwan6167 4 роки тому +1

    Thanx to you

  • @ChandanSingh-ys6ot
    @ChandanSingh-ys6ot 8 років тому

    sir can u please make vedieos on the topic of binomial theoram

    • @TheOrganicChemistryTutor
      @TheOrganicChemistryTutor  8 років тому +1

      Here you go:
      ua-cam.com/video/s19dWIHficY/v-deo.html

    • @ChandanSingh-ys6ot
      @ChandanSingh-ys6ot 8 років тому

      sir can u please make vedieos on meachinical propety of solid
      plaese

    • @ScienceBoost
      @ScienceBoost 8 років тому

      Hii chandan i see your comment those topic you want to be that comment on my Scinceboost channel and i make video for only for your's those topic you recommended me

    • @TheOrganicChemistryTutor
      @TheOrganicChemistryTutor  8 років тому +10

      It's going to be a long time before I decide to jump into that topic!

    • @ChandanSingh-ys6ot
      @ChandanSingh-ys6ot 8 років тому +2

      sir please

  • @DesertSoldier_ii
    @DesertSoldier_ii 2 роки тому

    I am writing an exam today 😂

  • @丁涵-k3q
    @丁涵-k3q 3 роки тому

    very good

  • @melikey.3319
    @melikey.3319 5 років тому +1

    I didn’t understand why do we need these rules. We already can solve the questions without those.

    • @FiruNazgulio
      @FiruNazgulio 5 років тому +8

      hi guys falanfilan There are some functions which are too hard to integrate without these.

    • @bryanlowks6117
      @bryanlowks6117 4 роки тому +2

      imagine a data table without any given functions

  • @Engneering2003
    @Engneering2003 Рік тому

    يفهم أكثر من ABD AL_DAAEM😂

  • @abdulrahmanradwan6167
    @abdulrahmanradwan6167 4 роки тому

    Thank you

  • @djt6fan
    @djt6fan 4 роки тому

    45:00

  • @R.M.R.R.Rajapaksha
    @R.M.R.R.Rajapaksha Рік тому

    good explaign

  • @faithelias2798
    @faithelias2798 2 роки тому

    God loves you

  • @LivingstoneRwagatare
    @LivingstoneRwagatare 9 місяців тому

    343 x 4 = 686

  • @urielamezcua9230
    @urielamezcua9230 4 роки тому +1

    you sound alot like Lex fridman

  • @amantsegu528
    @amantsegu528 6 років тому +1

    2 min non stop advertisement is headache.

  • @nnamanijustice519
    @nnamanijustice519 2 роки тому

    sir can you help me personally i have issues understanding a thing, and i got this exam tomorrrow

  • @kisha0712
    @kisha0712 6 років тому

    You made a mistake (8-0)/2 =4 . You had 2.

    • @ephemeronchimera
      @ephemeronchimera Рік тому

      That's because it was (8-0)/4 not /2 so the 2 he had is correct.

  • @zaidradwan4000
    @zaidradwan4000 5 років тому

    Thanx

  • @vithusan3576
    @vithusan3576 4 роки тому +1

    I love you

  • @bobbysokhi7296
    @bobbysokhi7296 5 років тому

    God

  • @dionysus1210
    @dionysus1210 2 роки тому

    Finally understand the kinda shit lecture

  • @mahmoodayesh6706
    @mahmoodayesh6706 2 роки тому

    Family guy rule

  • @technicalzoni7243
    @technicalzoni7243 6 років тому +1

    voice is little bit slow speak loudly

    • @NRSHD
      @NRSHD 6 років тому +19

      increase playback speed and max out your volume

  • @abdulrahmanradwan4324
    @abdulrahmanradwan4324 3 роки тому

    Thanx