Finding the Area Under a Curve using Definite Integration

A Level Maths revision tutorial video.
For the full list of videos and more revision resources visit www.mathsgenie.co.uk.

[@alexdermody6375]

You’ve made this so easy to understand, my coursework and I thank you

[@misan2002]

U have coursework?

[@hamzahwaheed9528]

Since when is there coursework in maths, unless there's some btec/vocational maths course that the UK offers

[@saadasad5219]

I got a test this morning😂

[@yondabigman4668]

So? Hows results day?

[@maryamjaved3519]

I got an exams tomorrow 😂😭

[@nkosinathititus6285]

maryam javed same 😭😭 pure maths 1?

[@irfanusman227]

@@nkosinathititus6285 We need to do this in Add Maths GCSE 😭😭

[@rosette_renah]

So,,how did it go?

[@HassanHussain-dg4se]

Thank you so much! I have an exam in 10 days and I'm watching your videos and solving past papers of the relevant topics. You're an amazing teacher

[@kathijasharmila1966]

u r now in 12th???

[@HassanHussain-dg4se]

@@kathijasharmila1966 no I gave my mid term exams

[@kathijasharmila1966]

@@HassanHussain-dg4se pardonnnn sorry

[@ianlee863]

Lol either he's a great teacher or people are making this topic seem a million times harder than it actually is. Probably both.

[@edwardwhite8253]

probably the former. those examples in the video is extremely simple once you know how to do definite integration.

[@jesutofunmionabamiji780]

@@edwardwhite8253 Thank you so much for this lesson

[@scottation1031]

Great video! It was so fun to learn this, I have always wanted to know how to do it!

[@seanwrfps]

Great video, easy to understand and follow along.

[@kavipriyavijayakumar8074]

Thank you so much. You really did make me understand the concept. PLease dont stop posting videos!

[@MuhammadTalha-oe5vq]

Hye would you taught me

[@kavipriyavijayakumar8074]

@@MuhammadTalha-oe5vq sure, I can help, kavipriya.03 (my insta id)

[@fabianaanghel3892]

This was seriously so much help, thank you!

[@LabanoBLK]

thanks for the well explained video...... i really enjoyed every bit of the explanation, and i think i have well understood

[@dijonstreak]

..great job mate. !!...very much appreciated..definitely made it a LOT easier ..finally got it. very clearly demonstrated...thank U mate !!

[@khoaleo9589]

Not all heroes wear capes

[@codingdens]

No words can thank you at the moment !!!

[@olianslow3943]

So clear

[@softarrow1843]

Awesome video! thank you

[@inaaaa7417]

This is very helpful thank you

[@joshmud8634]

I’ve got a final exam tomorrow 😂

[@lordfarquaad9887]

Brilliant thanks

[@waynedenis4771]

Very helpful. Thank you

[@misan2002]

12:54 the green section is above the curve so how does that work, someone please explain this to me

[@damnson1356]

same bruh 😔

[@misan2002]

@@damnson1356 i understand now, its cos by integrating u get area between curve and x axis

[@damnson1356]

@@misan2002 ohh thanks

[@misan2002]

@@damnson1356 no problem

[@rosette_renah]

Nice video,,thanks

[@fahd2644]

at 11:28 wouldn't it be better to just write 2 on top, since you would get the same answer but you wouldnt need to flip the signs. I feel like that's the correct way to do it

[@bilalshaikh2007]

very helpful thanku

[@justshan2413]

I was learning it for my O levels aka IGCSE

[@uboncrack]

I am relearning Calculus for my Doctorate. All the other videos go way too far into the theory (which I already know). This was perfect to just brush up on the process.

[@darkvader2024]

Doing this so I can delete from my downloads. Still helpful 👍. Wish I watched it earlier

[@fingram5343]

Cheers salman

[@nats50]

Sometimes you get to understand a "difficult" concept or process simply by presenting a different approach!

[@dududu5839]

quick question if anyone can help: For both the examples the equation was integrated first, but I though the point of integrating was to go from the differentiated for to a "y='s" form and the equation of both graphs are written as "y=". So why did he integrate? (sorry if this is a stupid question)

[@mathsgenie7808]

Integration is also used to find the area under a curve. That is what it is being used for in this video.

[@mr.noname6109]

You can use integration for finding the original function f(x) and also for finding the area under a curve....

[@AlbertRyanstein]

What is C in these cases?

[@firstlegend5105]

'C' is basically the constant after you integrate an equation

[@rosette_renah]

The arbitrary constant of integration

[@thenalin247]

We don't actually know but we don't have to know it in these cases because we are subtracting one equation from the same equation, just with different values being subbed in (meaning they will cancel out, C-C=0 in all cases for example).

[@harisamaan786]

Thanks man

[@maryamjaved3519]

Thankyou veru muchhh

[@abdulamitgaziev8243]

best of the bests

[@rhodan0506]

You saved me

[@seffishestopal5950]

This helps so much

[@devisinghgogadev6989]

Thank youuuuu

[@husainali8378]

I crack all record of all highest mark in iit. It will be in 2022

[@ahmedlaban2005]

ThANK YOUUUU

[@Someonewho926]

nyc thanx

[@spicywings2315]

I love you

[@mandingo9928]

what does dx mean at the end

[@humzaahmad_]

With respect to x

[@rosette_renah]

With respect to x

[@rosette_renah]

@@humzaahmad_ exactly

[@aashutoshjaiswal2756]

Thank you sir 😊😊😊

[@shrimpytruffle8]

2:35 is wrong, if the entire space was filled, so a 3x3 cube, it would have an area of 9 units^2, how does only a fraction of that have 12.66 units^2

[@Jon0201Musicraft]

No, the answer is right. If you think of it like the area of a trapezium [ (a+b) / 2 x h ] then you get: a = 1^2 + 2 = 3 b = 3^2 + 2 = 11 h = 3-1 = 2 (Remember we are only working out the area between x=3 and x=1 not x=3 and x=0) (3+11) / 2 x 2 = 14 units^2 The trapezium of course is an over estimate due to the rising nature of the curve so the answer of 12.66 is correct.

[@Hammer30lp]

I'm very confused abt this one aswell cause using the calculator button to put it in gives a different answer to me than when I substitute it in manually

[@serena_bee]

I got 97 over 3. Not 88 over 3.

[@trickytricks5119]

i got 88/3

[@ibxnnn376]

Yeah but you can’t put squares brackets in a calculator

[@shrimpytruffle8]

there the same thing as normal brackets they just show an entire equation as the normal brackets show a part of the brackets, but in a calculator it will do

[@ibxnnn376]

ShrimpyTruffle yeah I figured that out eventually haha. Thanks

[@shounakmalekar2847]

mistake in question one on 7:28 . Should be 9/2 right

[@Poonslayer-wv5lm]

sick video, u spelt region wrong lol

[@akibrahmantalha9017]

I did not know that Bear Grylls could explain maths so smoothly!

[@clyven8727]

Thanks bro, u made me understand this so easily

[@ahmadhassanalnaimi9529]

got it adhi? now go to sleep and good luck

[@ubaidshah1910]

Ahmad Hassan Al Naimi thanks bro

[@donsan5063]

شفت شروحات كثير بس شرحه بطل ويفهم

[@manalbani5447]

Thanks