Numerical Integration - Trapezoidal Rule & Simpson's Rule

[@TheOrganicChemistryTutor]

Application of Integration - Free Formula Sheet: bit.ly/3ZdKSnK Final Exams and Video Playlists: www.video-tutor.net/ Calculus 1 Final Exam Review: kzbin.info/www/bejne/jZ6lq6B-p9pqbtk

[@marc1001]

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]

thought i was tripping

[@Satchel_Gizmo]

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]

Thank you.

[@AbhinavKeshav-l6y]

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

[@pakarmyisizindabad6206]

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

[@obaid.k6588]

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]

Ok indian

[@sikemen.]

@@vladvladimirov4399 bruh u did not ....

[@lansulin]

@@vladvladimirov4399 says a russian

[@vladvladimirov4399]

@@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]

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

[@johndawson6057]

Thx broggy

[@alecstoj2159]

fuckin legend

[@Axonkid]

Mr Litman 🦍

[@prescottjohnson76]

thank you chief

[@bettyw329]

Thank you❤

[@yifanwang420]

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]

Thank you, I was freaking out about that one lol

[@ezachle]

got the same exact thing

[@hangulaeuzinia6298]

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

[@gabrielgafatsi542]

same here. I got 1660 as well.

[@mj339]

Was just about to post that.

[@Gabsontech]

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ai ai 🫡🫡

[@muleikelsylinda6144]

You explain better than my lecturers..💞from Kenya

[@gathoni20]

Same😊

[@muiruri_]

We Mzee 😂😂 , hope you are a graduate now

[@zareebrawny7871]

Ni kumoto manzee😂

[@bradleykibet8495]

Walaee frrr😂❤

[@JeremiahMoturi-vv6sq]

From kenya niko na cat in 2hrs coming

[@marien1991]

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]

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]

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]

I hope you realize how many people absolutely love you

[@matthewdonaldson4645]

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Ur absolutely my favorite teacher of all times

[@sharaelhami3283]

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

[@nunya5027]

Edit you mean to say most not some

[@ragnarlothbrok6324]

@@nunya5027 No, she meant some.

[@rishiaman2]

41:00 is where error analysis starts

[@BlackCat-gh8fr]

Thanks, finally someone who could explain the error counting.

[@grantgonzales9366]

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

[@mryup6100]

pm

[@danieldavison9138]

Did you pass?

[@adriantuschek5208]

@@danieldavison9138 I want to know this too

[@jakobsime4190]

did you pass?

[@horikatanifuji5038]

@@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]

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]

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

[@beeohtea7786]

@@hsc4648 22 minutes in

[@HarryJohnson69]

Thank you, I thought I was going crazy lol

[@bryanlowks6117]

yup

[@Sant270]

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

[@samuelbassey6806]

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

[@jamespettinato9921]

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]

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

[@mehadihasansanto538]

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

[@nwaigwecaleb2185]

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

[@NewWesternFront]

howd you do

[@jedidiahmanna3863]

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

[@jaysonnelson5396]

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

[@clearflow7925]

46:00 for trapezoid, 46:49 for simpsons

[@lucasargandona4658]

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]

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.

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[@ThamNguyen-sf2wn]

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

[@Cs2Noob69]

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

[@ayanaxhye]

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

[@josephslaybaugh]

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

[@mahsh701]

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

[@MoscleBrog]

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]

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

[@healer0713]

Very nice explanation

[@mcdkatjiuo]

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]

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]

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

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[@kingjake8376]

this awesome sir

[@nishadr.7637]

Note to self - 25:40

[@emmanuelgyato6867]

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]

the final answer should be 1660

[@jamespettinato9921]

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]

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

[@zaza5922]

How exactly do you determine n?

[@devinpeterson2119]

N is often provided I believe

[@jakobelgen2]

Just pick somethinhg that seems reasonable if N isnt provided

[@seye6557]

N is the number of trapezoids given in the question

[@erickperaza7266]

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

[@VinothKumar-qo7ry]

Thank you sir 💓

[@techhacks2572]

Which app do you use for the blackboard

[@kylecatman7738]

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]

You ought to teach the course in ADU

[@juliusgachunu5914]

What happens when n=odd in Simpsons rule

[@basanilik1997]

You cannot apply Simpson rule when n is odd

[@basanilik1997]

You cannot apply Simpson rule when n is odd

[@Teddy_boi.04]

Are you to choose your own n?

[@gagnerforex3381]

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

[@jamespettinato9921]

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]

Stick with Simpson's Rule. Forget the rest.

[@MaharaMsefula]

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

[@abhinavdhull1431]

can i find notes of these things somewhere?

[@saraalmadi4747]

what about the f(xn-1)

[@abdulrahmanradwan6167]

Thanx to you

[@ChandanSingh-ys6ot]

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

[@TheOrganicChemistryTutor]

Here you go: kzbin.info/www/bejne/qWKclYp_fcucmbs

[@ChandanSingh-ys6ot]

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

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

[@ChandanSingh-ys6ot]

sir please

[@DesertSoldier_ii]

I am writing an exam today 😂

[@丁涵-k3q]

very good

[@melikey.3319]

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

[@FiruNazgulio]

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

[@bryanlowks6117]

imagine a data table without any given functions

[@Engneering2003]

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[@abdulrahmanradwan6167]

Thank you

[@djt6fan]

45:00

[@R.M.R.R.Rajapaksha]

good explaign

[@faithelias2798]

God loves you

[@LivingstoneRwagatare]

343 x 4 = 686

[@urielamezcua9230]

you sound alot like Lex fridman

[@amantsegu528]

2 min non stop advertisement is headache.

[@CarmensProjects]

get an add blocker for your computer

[@nnamanijustice519]

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

[@kisha0712]

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

[@ephemeronchimera]

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

[@zaidradwan4000]

Thanx

[@vithusan3576]

I love you

[@bobbysokhi7296]

God

[@dionysus1210]

Finally understand the kinda shit lecture

[@mahmoodayesh6706]

Family guy rule

[@technicalzoni7243]

voice is little bit slow speak loudly

[@NRSHD]

increase playback speed and max out your volume

[@abdulrahmanradwan4324]

Thanx