How to use the Trapezium Rule

[CommunistMonster]

thank you so much, i could kiss you right now.

[DGSRizzo]

We need to donate to this man, at least for his time and effort. Considering this tuition service is provided totally free, I believe it is little to ask to support the developer! If every view was a pound/dollar/unit currency - this man would surely be kindly rewarded for his services to young mathematicians. Appeal: Any influential maths students in sixth-form/college, try and set up a fund where every maths student who uses this site donates a penny to this man! Every little helps.

[MsCraze94]

Thanks so much, I couldn't make heads or tails of my own notes. This is straighforward and easy to understand. Thumbs up on the awesome job! =D

[KnalleGaar]

Thx m8, helped me alot :)

[moneymaker6459]

@archanabenny i'm also having mine tomorrow

[archanabenny]

hai...my exam is tomorrow.....thankuu soo sooo sooo verryy verryyy verryyyy much for alll ur videoss sir....thankyouuu....

[ExamSolutions]

@archanabenny Hope it goes well for you. Good luck.

[lilbird2602]

@archanabenny im having mine tomorow too!

[akshaye2308]

great teacher man.....

[Grimmy20XX]

Thanks, this has helped my understanding of the subject, Thanks!

[ExamSolutions]

@Grimmy20XX pleasure

[PinkHair0]

you are the santa clause of mathamatics.

[ExamSolutions]

@PinkHair0 Merry Christmas

[oOLABRAT94Oo]

you are a good man.....

[ayooty93]

teachers should look at ur vids to learn how to teach honestly not every teacher can teach properly but you got that talent for teaching !!

thank youu soo much sir!!

[ExamSolutions]

@ayooty93 Thank you

[RockzE17]

you're actually THE guy!!

[slykid121]

Lisen(read) i jus want to tell how much i appreciate this, ALOT. Taking on board that u like to provide solutions for maths exam, i came up with my own one for the governmet on the education crises, well for maths anyway(dunno how u r on other subjects). Seriously, they need to consider making u the chief examiner or an universal teacher(something that involves your widespread), and get rid of all people that claim they can teach maths. Once again extremely grateful and major respect :) :) :)

[ExamSolutions]

@slykid121 Steady on but thanks for the complement

[Turts94]

lol easier to understand than my maths teacher, i hadnt a clue when i did this in class :)

[blisterlister99]

your my hero



[Napstare1]

Nice one.

[OnyxFreq]

This was really great but for the answer i got 8.6 , can u please tell me how u times everything out to get 7.99... I subscribed btw :)

[ExamSolutions]

@OnyxFreq Not sure how you got your answer.

[MissPheonix1]

you are god sent... ive not done this in school, but im studying it before hand because my a-level math teacher is fucktarded.. but omg thanks.. i get it!! :D

[TwistedMentality089]

many thanks

[MYHEARTISUNDEAD]

Your explanation was clear and concise and I found it a lot of help. I missed my class on the trapezium rule and staring at a new equation is always pretty daunting (especially when you're lacking motivation), but this was great, thanks!

[ExamSolutions]

@MYHEARTISUNDEAD Well done.

[MyRandomReviews]

Ahh awesome, I forgot to revise this and noticed it on one of my past papers. Thanks for saving me from loosing marks on Monday! :D

[ExamSolutions]

@MyRandomReviews No probs. Pleased to see you found it useful. Hope all goes well for Monday.

[kamakasi90]

cheers m8 big help 4 the c2 on monday

[ExamSolutions]

@kamakasi90 Cool - Hope all goes well for Monday

[ScottsWaffle]

thanks for the vid, i found it easier to compare it to the midordinate rule, but this is a really good way of explaining it!

[ExamSolutions]

@ScottsWaffle Cheers

[shinichi13]

Oh mai god! thank you very much sir! now i understand! gosh im a slow learner :/ your video really helps :)

[ExamSolutions]

@shinichi13 Pleasure. Thanks for your comment and I am pleased it offered some help for you.

[Assassin70700]

Why would anyone dislike this video? This goes a big way for me to pass C2. Thank you

[ExamSolutions]

@Assassin70700 Thanks

[Dumbazz101x]

Thank you for the vids! Gonna get my 100 ums in jan. :)

[ExamSolutions]

@Dumbazz101x That's good you are feeling a lot more confident. Hope it goes well.

[KiyoAdrianXevious]

Feeling more and more confident about my C2 Maths exam in January, couldnt thank you enough for blasting away another chapter of worries for me. :)

Keep making these videos, the stuff you are doing is certainly helping students around the world. :) 5/5

[ExamSolutions]

@KiyoAdrianXevious Thank you very much for your words of encouragement

[jushal05]

Thank you!you r the kindest people on earth;)

[ExamSolutions]

@jushal05 Pleasure

[igext]

Awesome video. What software do you use ?

[westland2323]

Thanks alot. Really helpful. I keep getting confused and this helped alot.

[lss92l]

Thanks!!!

[allgoodbids]

I'm taking my Maths Pure Core 2 exam tomorrow as well! Thank you so much, again, no-one has explained it as simple as that. Thank you!

[OooftSTHU]

Wow Thank you so much, i am eternaly greatful.

My Maths Pure Core 2 exam is tomorow and i have tried asking for help several times about this and logarithms, but the teacher just never explained as well as i hoped. I thought i was gunna fail and miss out a question on the exam paper if it came to trapeziums. But not now.... Thank you very very very much. :)

[ExamSolutions]

@OooftSTHU Well done. Hope it comes up for you now.

[welhard64]

@OooftSTHU same for me lol

[zada4a]

@OooftSTHU I got C2 exam tommorow ^^ ( today) woo I gotta go to sleep :D

[OooftSTHU]

@zada4a

Good luck :) (Y)

[zada4a]

@OooftSTHU

Thankssss, I think I'll get an A ... Trapezium rule really helped me finish fast and with no troubles :>

[OooftSTHU]

@zada4a

yup i glided thru that tbh.

i just got stuck on the FINAL part of theFINAL question ): </3

[zada4a]

@OooftSTHU I had some trouble on the first part of the final question hmm. I wonder if they were different :P

[Kirstygardiner]

UHHH THANK YOU SO MUCH! :)

[lovesugar16]

This has cleared my confusion...You were great at teaching it and it was so easy to understand the way you explained it....Thank you so so much!

[ExamSolutions]

Pleasure - Pleased to know you have this now.

[jaknak07]

Thank you so much, you are much better than my maths teacher, Katie Bourn, who struggled to teach this properly.

[iamsopoor9]

Do you work for Edexcel?

[ExamSolutions]

Nope, I work for myself as a private tutor.

[kamakasi90]

Thanx alot!!!!! big help help 4 my exam in june

[shiftmx112]

Great help. Thanks. Definitely one of the better explanations I've found.

[nandkyasa]

Thankyou so much !

i had no idea what any of that ment!

LMAO!

[DementedJuggalette]

thanks so much for the help!! this makes my calculus waaaay easier now

[4RIPO]

hi is the c2 exam used by diferent exam boards because i noticed that mine is on a different day to some people's?

[ExamSolutions]

Yes

[maestropiano]

Thank you so much, this cleared up a lot of things (:

I'm having my Core 2 Exam the day after tommorow!

[ExamSolutions]

Good luck - Hope you can get to take your exam what with all this snow!

[lucile1010]

actually I'm sorry, But I'm still confuse, does that intergrate sign doesnt means we have to intergrate in this point when we just use trapezium rule?

THANK YOU VERY MUCH FOR TEACHING. I missed my class where d teacher teaches this subject, I'm so lost everytime he asked a question about trapezium rule.=| thanks x

[ExamSolutions]

No you do not have to integrate. The trapezium rule gives you an approximation to the value of the integral.

[lucile1010]

@ExamSolutions THANK YOU VERY MUCH!=DD SUBSCRIBED. ur vids are vry useful as I'm doin my Alevels now thanks again!x

[ExamSolutions]

Good Luck

[v3rsac3x]

15000th viewer :D

[88Baebae]

your the best thanks

[patrykpl2008]

Thanks alot mate .. really helpfull :)

[metalgeorge123]

for the height, is it the height of the Y axis or the X axis because in your example you have done it in X, but its seems to only work if you do it in Y, in my questions?

[cameraguy37]

The height is the height of the y, the width is the value between the two lines in x. :)

[xjennytx]

thanks! this is great!! :D

on a question i have, it just says:

"integral sign with 1 at the top and 0 at the bottom" 1 over (1+x^3) dx

it doesn't say y = this, but do i just assume that?

[ExamSolutions]

You can say let y=

[xjennytx]

thanks. when i clicked your user name over there > exam solutions i noticed the oxfam appeal, i tried to donate but don't know how? maybe i missed it and my brain is just overloaded with maths. you should put this appeal in the video description as i bet a lot of people don't even see that bit, and i reckon more would donate, as your vids are helpful :)

so how do i do it please?

[samuelade]

thank you very much for that video. it realy helped allot...may God bless you

[davz1992]

teach in gorseinon college please?

[jasmine00babes]

SO HELPFUL!!! Thank you

[Jlangbridge07]

thank you very much

[curseofsonu]

u definitely explained that better than my teacher!! thanks alot =)

[ExamSolutions]

No. You seem very confused still. Look at a number of my C2 papers where there is generally more examples on the trapezium rule on each paper.

[floyd09x]

U know, when u have the graph and the points with its coordinates of x and y, do you just take away the X value from the Y value to show the middle hights??

[ExamSolutions]

That's correct but the width is often obvious especially when a table of x values is given in a question. Some people often forget the formula or use it incorrectly by doing (b-a) / number of ordinates i.e. x values rather than strips.

[weeman5872]

Nice video.

But I find on some examples; it helps to work out what the width is.

which would be (b - a)/number of strips

so for example if the limits were 6 and 1.5 and there were 3 strips (trapeziums)

then it would be (6 - 1.5)/3 = 1.5

and in your example by the looks of things, the limits were 3 and 7 with 4 strips

therefore (7-3)/4 = 1

[1992Roscoe]

great video. you make my teacher look like a dick! haha, thanks very much.

[ShroomsAddict]

True but why bother getting an approximation when you can get the exact value in the same amount of time. Is the trap rule taught before definate integration? if not i see no real use for it.

[ExamSolutions]

I agree, but some integrals are very difficult to work out and others impossible. So using the trapezium rule especially on computers is very quick and easy.

[ShroomsAddict]

Im currently doing AS level maths and I dont see why the trapezium rule is used as with definate integration you get the exact value. Sorry if this is a silly question.

[ExamSolutions]

The trapezium rule gives an approximation to the definite integral. The more strips you have the closer the approximation.

[bestbestbest01]

Thanks Alot! =]

[ExamSolutions]

I am always gateful for the comments on the vids but please if they are helping you can you give a small donation to charity via my Maths Aid link below any vid on the site.

Thank you.

[23sav23]

so good! thanks!

[ExamSolutions]

Many thanks

[ronaldope]

this man cudnt get any better .

[trumpetsav]

thx for this very helpful

[BSP666c]

What about the Simpson's Rule?

[hannahgal1992]

great help!!!! thanks!!! dont get it when my teacher tells me about this but this video is amazing!!! i feel more confident to going into the exams!!! big tahnkyou!!! :)

[LaptopAccount1992]

Thanks. Great help!

[DragyTants]

Cheers mate great help!

[metalheadnick1992]

thank you very much!!!

[alexpm1992]

you. are. amazing.

[mcmanus813]

genius. the book makes no sense but this is brilliant

[00GameMaster00]

Why must textbooks over-complicate everything? Your video was a huge help. Cheers :)

[TheImpersinators]

thanks a lot :) very helpful

[stephk91]

that vid helps soo much more than a txt book thank yoo:)

[ExamSolutions]

Nice to hear that - thanks

[2502102]

Thank you soo much!!

[pashaahsj]

is this really Core1?? cause i do this, the midpoint-rule and the simpson's rule in Further Maths Numerical Methods (NM)..

btw. TY!!

[clanOT]

this is c2? why did I watch this then..

[mboatyard]

you just saved my life there. now i maybe wont fail c2. you cannot imagine how helpful this is :) thank you VERY much.

on top of everything watching it in a video will probably help remembering it much easily.

[freedermkk]

Thanks very much :D

[chyuu]

Awesome! This was just what I needed! Thanks for all the effort! :D

[onionboy23]

jesus, why doesn't anyone explain why you put a 2 in front of 2(sum of all middle heights).

Why is the sum doubled?? Why?? Why???

[axdcs1]

its doubled because if u write it out long, those values occurs twice.

try writing out the formula for each trapezium and u will see why.

[oheneys]

orc

[the1one1scorpio]

This is such a help, thanks. The textbooks we get are so difficult to understand, so having someone expain it more simply makes a big difference! Hopefully this will pull me up a few grades :)

[RipPhilOdonnell]

c2 exam 2rd june eeeeeeeeeek

[themunty]

taking the same one :P

[xoxbethyxox]

Eeeek C2 exam in like 8 hrs! woooo :p

[HypzBlud]

lol thanks, i got C2 for the THIRD TIME tommorow... n im only just understandin this now.

[bbabygurl91]

thankyouverymuch :)

[coyaOMEGA]

you're so awesome... i have an AQA maths exam in like 2 days, and I REEEELI needed this, cus my school is too pikey to give out textbooks! aaargh! lol :P

thanks again :)

...x

[bbabygurl91]

You said this is an approximate value. Plase answer with reason whether this approximation is an under-estimate or an over-estimate.

Just asking cos it's on the exam paperr

[ExamSolutions]

underestimate as the trapeziums are below the curve.

[maximumbadger]

Absolutely fantastic! Thankyou!

[relyanddefy]

cheers

[nDotC26]

although this was undoubtedly helpful, it was kinda slow and long winded making me sleepy =o=

my maths teacher was able to teach us this in under 6-7 minutes

[will45780]

this is really helpful mate, well done

[Mutzy02]

That's ace, this will really help me out a lot. Thank you soooo much :)

[gopidravid]

any1 got c2 mei next week?

[1337ASM]

my maths teacher couldnt teach this better... even though it took him 1 hour rofl!

[farasipower]

WELL DONE SIR!!

[canadaonly2]

actually very good!

[crunkbabe]

WOW you are really good i can get this trapezium rule now. Out teacher didn' teach us this as all. YOU ARE AWESUM :)