All of Integration in 30 minutes!!! | Chapter 13 | A Level Pure Maths

[@TheGCSEMathsTutor]

👑 Everything you Need to Pass your AS Pure Maths Exam! A* | AS Pure Maths Revision | Edexcel AQA & OCR - kzbin.info/www/bejne/i5quh3Wpna6CrJY If anyone would like to support the channel you can become a member here: kzbin.info/door/StPzCGyt5tlwdpDXffobxAjoin or buy me a coffee here: www.buymeacoffee.com/gcsemathstutor Thank you for all of your support! 😁🙏🏼 New Discord Link: discord.gg/nRMtgr5AWA 👑

[@kara2385]

u got me a 9 in gcses a year and a half ago and now ur about to get me a A* i couldnt thank u enough

[@Unkn0wnRxbxl]

Highest you can get at as level is A

[@NOT_cooleep_BTW]

@@Unkn0wnRxbxl He might be talking about his A2 not AS especially if it's a year and a half later.

[@null3485]

Thank You so much. You genuinly are the reason I did A-Level Maths! You saved my GCSE's and now your about to save my A-Levels!

[@999wishfrvr]

how'd it go

[@akshayasubeegaran4736]

I’m in year 11 doing maths and I can’t thank you enough for your videos. A literal lifesaver. I’ve got an exam tmr

[@nigenbregu3099]

Integration in year 11?

[@nigenbregu3099]

oh yh nvm the easy parts

[@TheGCSEMathsTutor]

I’m so glad to hear I could help! Hope the exam went well! 😁🙏🏼

[@akshayasubeegaran4736]

@@nigenbregu3099 i do further maths so no not easy

[@Curve7x]

​@@akshayasubeegaran4736 further maths in Yr 11?

[@EnkhkhuslenMunkhbat]

I can’t Lear anything in class because I understand better in English overall and my teacher speaks my native tongue you are an actual life saver I have my exam in less than a week and I’m learning more than ever rn .

[@intelblox7354]

howd it go

[@QuaternionPhysics1]

Easier way for 28:38 is that you can subtract 6 from y = x^2 + 2, such that the line AB now is on the x-axis. This gives a new equation of y = x^2 - 4. Limits will be the same, and you can integrate straight away. One thing to note is that the curve is under the x-axis, so you’ll get a negative area, just remember to make it positive.

[@danieldot256]

yes thought this would be much easier

[@some.random.hacker]

"and not forgetting +c at the end" - wise words that I never fail to forget

[@sage_zarf]

I got 107 in AS math which is pretty good considering the thresholds were kinda low, i learnt integration ahead of school cuz it seemed fun! Ty for the resource and explanations :)

[@abdulrahmanrahim-x9r]

Hi how did u did it plz reply

[@sage_zarf]

@@abdulrahmanrahim-x9r I paid attention in lessons and did a lot of past papers for all my AS subjects, about 2-3 papers per subject per week, also the usual advice which is to focus on what you're bad at.

[@AlexReads1613]

@@abdulrahmanrahim-x9rprobably sat it privately

[@thanansayanbalachandran6081]

I have my additional maths exam in the 23rd of June and this video explains so well i understand in a click. Thank you for saving my time man really makes my day

[@asasim2000]

Same! ! Good luck!

[@thegaming12wr35]

How did you do?

[@olivercadman3595]

will you do stats and mechanics?

[@zayd133]

wth takes stats and mechanics together

[@DanyaMorad]

@@zayd133 dont you do both in edexecl anyways?

[@Eman-mo3jj]

Just did my paper 1 mathematics today icl it want pretty well and alright at the same time. gonna watch your videos on paper 2 now

[@GCSEALevelMaths2025]

Good luck with your year 11 this year!! Please feel free to check out my KZbin channel and watch my videos from last year!! Best wishes Eman!!

[@CallumButton]

Love the videos! Just can't get over the mistake at 22:37 and than continuing like nothing happened. Sorry if mean, but still funny.

[@TK-mc5un]

Was looking for this comment 😂

[@ryanbassan8975]

Was the mistake the 45/4?

[@ddiisskkss3793]

@@ryanbassan8975 im pretty sure

[@viniciusgotosleep]

The single best video of the topic I've come across when studying!

[@ryangwidibira4882]

Thank you so much l just started my grade 11 and am being by your videos

[@ericxx3303]

I believe there was an innocent mistake in the last example. The green area should be: 6-(x^2 +2), and integrated the new equation, we got (4x - x^3/3), then green area should be 32/3. If we like to find the purple area, it could be: rectangle - green = 24 - 32/3 = 40/3

[@inas5905]

I’m in year 11 doing my GCSE maths this year.You have helped me so much since I started watching your videos. Would you be able to do a video on longer percentage calculations and also on area of shared regions on shapes? Thank you

[@jeddslade3540]

you’re doing this at GCSE?!?! this is as level content ??

[@idontknow1630]

@@jeddslade3540 at gcse ur taught how to find an estimate of the area, whereas in AS/A you use integration to get an exact value

[@tahminaislam1120]

@@jeddslade3540 Yes it is in the syllabus

[@henrymarks1632]

This isn’t in GCSE lol

[@chersymale]

this is definitely not on the GCSE syllabus wtf? I mean the video title literally says A Level Pure Maths. if you are doing this in GCSE then bravo holy shit

[@ToriKo_]

I’m glad someone pointed out the editing error, great video

[@swithinegwuchim481]

God bless you, bro. Your videos are amazingly helpful!

[@ProjectA24]

Agreed

[@mallardmax3127]

So this is what Madame meant when she said "We don't need to know the exact area under the curve for a speed time graph just please draw the trapeziums I don't have three hours to explain the rest"

[@beyonceduro5926]

Thank you very much for the video it was really helpful ,God bless you

[@aaryanramani1699]

Legend. I'm back guys, all the way from Year 10 - Still hanging onto Maths!

[@e--1861]

how's it going?

[@humzino6630]

why are you saying I'm back like anyone knows who you are

[@eastgirlplay1898]

thank you so much! Im doing my IGS and ur the best!

[@GCSEALevelMaths2025]

Really well explained video nice a level maths video!

[@galahad5938]

Thank you so much for your help

[@mathsmeadow5106]

waiting for A2 Pure maths

[@iianmabuto]

very helpful i like this channel

[@silentintegrals9104]

solving integrals is so much fun

[@dinger8487]

No it isn’t bro I finished GCSEs and I’m learning this during holidays

[@Mike-vj8do]

Thanks for your help.

[@neelpatel8953]

For quadratic functions like the last one with no x translation it would be easier to just integrate with limits 2 and 0 and just double it cos it’s symmetrical, saves some time

[@rayhaan7860]

I am revising all this after i was done with my 3 papers for gcse maths which was done 2 days ago

[@globalcomparisons1973]

how is a level math

[@Danielle-vc3yx]

Please can you make a place list for fsmq for ocr with the additional information

[@Elliecht]

please do as stats and mech

[@MunisaGaibnazarova]

Thank you

[@BarevHayerin]

so what is the purpose of integration

[@jago1x]

finding areas of curves. opposite of differentiation which is for gradient

[@JannahMa-n7u]

i super love math

[@stardreamix786]

Thank you so much! Very helpful!

[@asasim2000]

Pretty helpful for add math♡

[@Ed_coombs]

Anyone else notice the spelling mistake in the thumbnail? 😂 (Not in any way meant as an insult loved the video, love the channel 😊)

[@DanielleDondo]

Hello, have a question...I don't understand something on application of definite int, the one with x=0 and x=4 where do those come from?

[@diya2480]

Thank you so much for this!!

[@kartinyau]

Really helpful video, thanks

[@bhg582]

@thegcsemathstutor can you do year 2?

[@Deadman2DX]

i thought u subsitution and the intergral formula should have come under this topic?

[@notoriouscookie7066]

I fucking rate your videos, keep it up!

[@lucygrundy7090]

you didn't show any actual methods of integration??? by parts? substitution? reverse chain rule?

[@TheGCSEMathsTutor]

That’s in the second year, this is for the first year 😁🙏🏼

[@Remus786]

@@TheGCSEMathsTutor are you gonna do year 2

[@tadiswalesleemangau7475]

What about volume under graphs

[@jeffjeffson5967]

Does integration find the area above the curve if the curve is below the x-axis?

[@xhibah]

yes but the number will be negative

[@balajipalaniappan6804]

but remember area isn't a vector quantity like forces (mechanics) so you can't have a negative area(just like you can't have a negative mass) so just convert the negative area to positive and you're done

[@rafaelisjaya2590]

is it normal to not put in respect to dx in finite integrals, here for example 19:03

[@joshessien091]

5 MULTIPLIED BY x SQUARED IS NOT TEN BUT 5X SQUARED

[@TheGCSEMathsTutor]

I multiplied both central parts simultaneously.. 5x^2 + 5x^2 = 10x^2 and as it’s all being divided by x^2 this simplifies to 10 👍🏼

[@Strawhaty]

man said it in caps too loooooool

[@taehyungshabibti]

​@@Strawhaty LOOOL

[@m4rzb4rz-qq3yq]

22:43 wouldnt it have been easier to expand (x-1)(x+3) and then just multiply every term by x

[@bestballerever]

At 7:49 how do you tell you should use integration and not differentiation. I know this topic is about integration but I would’ve used know in a real paper.

[@questionable2140]

prlly cos u get given dy/dx to begin with

[@unamihandria1056]

25:30 why does the 1 came first before 0 (for the integration limits)

[@Its_DevsterFIFA]

The bigger number goes on top, just a general rule

[@khadija2625]

is the answer for the last question not 32/3

[@bestballerever]

At 7:49 how do u know you are using integration, not differentiation. I know the topic is integration but I wouldn’t know in a real paper.

[@chemicalnamesargon]

the equation given is already differentiated, evident by the dy/dx

[@arzaadkhan501]

13 minutes

[@Strawhaty]

11:35 shouldn't it be +25 since its negative x negative?

[@davidoluyemi5090]

no because 1^-1=1 and when you multiply by -25=-25

[@keonaamod8005]

Dose this include math pure 3?

[@animationbooth_28]

No but you'll need this understanding for A2

[@sneesh5145]

what editor ya use?

[@watercow1463]

rlly late with this one, but it looks like notability for ipad

[@selocan469]

All of integration? Is this for real? Only for polynomial functions. That was only a fraction of out high school integration content. Surely, there must be content for logarithmic, trigonometric function etc.

[@zert333]

got an exam today lol. Its 8:30 am and I'm learning not revising

[@zert333]

damn wish me luck

[@Its_DevsterFIFA]

​@@zert333how'd it go bro

[@udaysingh1478]

stop putting so many ads in ur vids plz and thank u

[@demipro7526]

U gotta respect the hustle

[@mibsaamahmed]

Me who's in year 8 💀

[@mujtabaakbar2585]

Why are u here 🤨

[@n.1mikayuustan616]

what about the volume ....

[@saltyscoundrel4368]

If you still need help with volumes of revolution, here is another video (however this is further calculus and so I believe it is further maths content only). Good luck! kzbin.info/www/bejne/fHipYaqGa7l7p5Y

[@bestballerever]

At 7:49 how do u know you are using integration, not differentiation. I know the topic is integration but I wouldn’t know in a real paper.

[@Exothermix]

yo bro, this is because of the weird S thing at the start if the equation that means you have to integrate, I think it stands for "Sum" but that's unimportant