Integration

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In this video I start with the basics of integration, moving quickly through more difficult examples of indefinite integration before looking at definite integration to find the area under a curve. There's an exam style question at the end.
Enjoy!
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26 сен 2024

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Комментарии : 208

@AdityaKumar-hy6fo 6 лет назад

I'm 44 years old and wanted to remember what I learned at school (Just for nostalgia sake). This is the only video that helped. You madam are a great asset, I'm glad there are still wonderful teachers around!

@StarfishMaths 6 лет назад

Aditya Kumar Thank you so much for your kind comment! I’m so glad to have helped. All the best with your studying!

@RufusEatsCheese 5 лет назад

Ditto - I'm 46.

@strike9997 4 года назад

@@RufusEatsCheese I am just trying to get past A levels xD.

@aryan24jan 4 года назад

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@fbtrappo9715 4 года назад

Simp

@HausOfStream 3 года назад

It's 2020 and I just realise integration and differentation wasn't bad at all. 2 years of lectures in 30 minutes video sheesh ! Thanks !!

@ridmasathsarani7468 2 года назад

Finally I can die in peace. Integration and Differentiation haunted me every night and you saved me. Thank you Ma'am. Thank you so much!

@staremmitor7946 Год назад

the camping 🌳 vacuuming truck 🚚 came along, we was eating french poutine& the driver pushed the hose along the restaurant the water drops bounced around to off it the pump stopped working we saw the driver go in must have been rebuilding the entire pump. Amen

@bhairavkedare9074 2 года назад

No school or tuition ever gave this concept and example based explaination like you do🫡💯 hats off ma'am🔥💯

@delightdovlo7121 7 месяцев назад

Wow Ur my teacher at home And I say thank u very much U teach to my understanding than anyone else could do

@arjitvashishta7572 4 года назад

You explain in such an easy manner that everything gets collected in mind and rarely makes any question tough to solve..thank uu so much

@aryan24jan 4 года назад

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@md.shohidulislam922 Год назад

You are one of the favorite teacher to me. I am excited to take your class. I am from Bangladesh.

@polar627 2 месяца назад

Thank you so much for taking the time to explain this so clearly. Your explanation was incredibly helpful and easy to understand. I especially appreciated the way you broke down the information into manageable chunks. It really helped me grasp the concept fully. Now I feel much more confident in my understanding.

@jeremiahekochu2354 Год назад

Thank you soooooo much Sara. I've understood in about 3 hours what I've struggled to get in weeks.

@bununu1621 4 года назад

thank you for this lesson, god bless you and i pray for your happiness

@nishatari7042 3 года назад

It's the first time i like a math teacher for teaching so smoothly ❤️ thanks mam.keep teaching us more

@beoptimistic5853 3 года назад

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@jay1435 5 лет назад

Anyone who disliked was definately not paying attention . Thank you very much lady

@blessednjoki5450 Год назад

I feel like i really wasted time in a lecture hall... I should have known an dived straight into this video... you're just the best.

@unruly_ronin 3 года назад

Ok, that video for Differentiation was awesome and Informative, but now after seeing this one is the same quality content, now I'm definitely subscribing.

@Parax77 3 года назад

Speed = at Distance = ½at² Momentum: Force = mv Kinetic Energy = ½mv² Hookes Law: Force = kx Potential Energy = ½kx² Circumference of a circle = τr Area of a circle= ½τr²

@JikanGwarzoKd Год назад

Thank you so much 🥰 Sara, You're works really help.

@samstephen3678 2 года назад

Tommorrow's my test and i didn't even know the abcs of integration and differentiation till i watched your videos. Thank you so much. Great help you are....

@vmtvf Год назад

Thank you so much miss, that was very helpful. God bless you ❤

@manasamagesh5107 4 года назад

simply loved your way of teaching! Thank you soo much

@beoptimistic5853 3 года назад

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@damutskhemsyndai5413 2 года назад

The way you teach, it'll make me remember it for life

@StarfishMaths 2 года назад

That's great to hear!

@sou_theslytherin5203 Год назад

Studying the day before exam 🤞🏻

@dynipjohn485 5 лет назад

Mam, your teaching is really great! It was a great help for me!

@elinahmoyo2481 2 года назад

your explanations are easy to comprehend, thank you😊

@carolruramaikavhai3830 4 года назад

It feels n bcms easy wen u explaining. Yu er a natural, a blessing

@beoptimistic5853 3 года назад

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@Onlyone-q9c 4 года назад

Thank you very much i have a test in 50 minutes and this video helped alot😀

@bhairavkedare9074 2 года назад

Extremist🫡

@chrishemsley8889 3 года назад

what an excellent, calm and educational video. Really useful!

@zuhraaz 4 года назад

This video helped alot just to revise my integration skills. Thank you.

@beoptimistic5853 3 года назад

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@azmanfaruqui2861 2 года назад

Thank u soooooo much Ms Sarah...ur the only one whose method I understood here...

@jahanzebnaeem3169 6 лет назад

Such a great teacher! Need more vids.

@StarfishMaths 6 лет назад

Jahanzeb Naeem Thank you very much!

@lovemoremurozvi7065 4 года назад

what a great tutor,keep up the spirit

@beoptimistic5853 3 года назад

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@elaihooghosa8246 Год назад

Ma your videos had made me understand integration in better view , I really appreciate ❤

@Dinesh11_ 2 года назад

Thank you so much for the video! This is the only video that helped me.

@MamtaSharma-wz9kw 4 года назад

Thanks for this Love from INDIA 🇮🇳

@emezenos Год назад

i love you, thanks for saving my high school

@makunguhlatshwayo3579 Год назад

I am going to write an exam in a few a hours but you just made it easier as if my exam is taking long💥

@jamespalgrave69 6 лет назад

its more efficient (and arguably less error-prone) to combine the integrands by subtraction before integrating ie here integrate the curve minus the line, between the limits calculated

@StarfishMaths 6 лет назад

James Palgrave you’re quite right! However the way I’ve done it here is the way expected in the English A level spec. Thanks for your comment though, always good to have multiple techniques!

@viviannetakawira9459 2 года назад

I now understand intergration. Thank you

@priyanouman7135 4 года назад

Omg I hve my AS exams after few days and I was struggling with differentiation and integration....ur vidoes helped me so so much I would like to request u kindly make vidoe on AP&GP even trigonometry...its gonna help me and others like me ....thank you so so much 💋💋

@StarfishMaths 4 года назад

priya nouman Glad you found it helpful! Lots of videos on this channel about trigonometry 😉

@zacharydean1953 3 года назад

You are very clear and helpful thank you for helping me through year 12

@shrawannikumbh8701 3 года назад

Thank you madam this helped me in my neet paper as I saw this video at morning before my paper

@moyoceil125 4 года назад

Excellent , thank you madam Sarah . You're the best

@adnanshahbaz7166 4 года назад

U have helped me a lot. Thank u💕

@rohinihrudhay5600 4 года назад

Thank you so much Mam for the help that really helped me to integrate better

@abdul-ganiyyoladele1081 3 года назад

I know I'd fall in love if i see ur face 🙈 good work, im learning from the best

@adelmath-com 2 года назад

Thank you so much.👌

@dorcasdickson9935 3 года назад

Good evening you’ve helped me a lot to understand a lot of topics thank you ❤️ And also please can you also be explaining some step by step process

@shannakamburugamuwa6752 6 лет назад

Thanks a lot, this was a lot helpful for me.

@jabinrobbie3992 5 лет назад

Bless you for making this video, great help

@aryan24jan 4 года назад

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@zlayer_115 3 года назад

you are an amazing teacher may god bless you

@nicolesueann4869 6 лет назад

Your explanations are really easy to understand. Thanks

@amirsohail9560 5 лет назад

and that is how you teach maths!

@AmjadAli-dg7ll 4 года назад

well done, you took the stride from very simple idea to advance

@hufsajaved3491 3 года назад

Mam u like star ✨ fish 🐟 🙂 Mam your mathod of teaching is unique like me 😜 I am from Pakistan Thanks Mam 👍

@StarfishMaths 3 года назад

Haha thank you!

@hufsajaved3491 3 года назад

@@StarfishMaths my pleasure 🤗

@bankoleganiyat2982 Год назад

Thanks for the video I really learnt alot

@adammohammad9051 4 года назад

Vous êtes super prof graç a vous je suis bien arrivé de comprendre le mathématiques quelque soit la langue

@paigeson3069 2 года назад

You are amazing and I love your videos. Thank you!

@avesta5390 5 лет назад

Thank you for the help! These videos have helped me a lot in understanding what these a level students are currently studying and I’m hopefully studying maths Further Maths Physics and chemistry next year, although I might want to stop watching a level videos and focus on the GCSEs for now… but I’m not sure. (If you’re reading this and can give advice on what I should do pls do)

@StarfishMaths 5 лет назад

Hi Avesta, I’m glad they have been helpful and it’s great to hear you’ve decided to take Maths further next year, all the best to you! Yes do focus on your gcse work now, but some videos on this channel are still relevant for the higher grade gcse content - surds, indices, quadratics etc. Best wishes

@avesta5390 5 лет назад

Starfish Maths thank you for your reply!

@UnveilingChronicle 2 года назад

@@avesta5390 YOU FINISH A LEVELS NOW OR U IN UNI IF FINISHED WHAT DID U GET

@abisaajinikirushanth4857 Год назад

I have understood very clearly perfect❤

@ayushjaiswal9863 4 года назад

hello starfish, i want to understand...what way of uses of integration and differentiation...as in bussiness point of view..."ur x= ( a product )...so if we do integrate add or divide...2(x)= 2(a product) ~integrate~ we got = x is to power 2...what its means? same question as for differentiation...i want to know simply "what or how to use differentiation & integration in real life...plzz make video💕

@sarapike5548 4 года назад

Hello. Good question - differentiation is used a lot in optimization problems. So if you have a mathematical model for profit then you can use differentiation to find maximum or minimum profit, for example. Integration as the opposite of differentiation is very useful for solving differential equations, which come up a lot in applied mathematics. It's also closely related to area and volume, so an example is it can be used for calculating the volume of material needed to make a physical product. Hope that helps!

@ayushjaiswal9863 4 года назад

@@sarapike5548 hmmm...make a video on...how calculus relate to real life...becoz, very some peeps know about their means...they just ignore coz, its look like nonsense mathematical sick problm no need with reality😂

@ayushjaiswal9863 4 года назад

@@sarapike5548 im just researching how maths develop from begining...calculus proposed by newton in 17th century but we have in book only mathematical problms... that's irritate me...i want understand it...i have not full time for invest for solving unusual problms...i want to feel to understand these concepts "if i need in future i know how to short out"

@ayushjaiswal9863 4 года назад

@@sarapike5548 u know, im revising my 5th standard to 12th standard book again becoz, i just passing my standard...i don't know about topics how and when and why its invented and how its relate to our life

@ayushjaiswal9863 4 года назад

@@sarapike5548 sara pike as u say differention~ intergration is just opposite to each other as max profit to min profit in any bussiness... if i have x = candy 2(candy) now intergrate, we got candy*candy....😂 im nkt understand...plz make a video where u show how calculus helps in reality

@therackusboyoz2857 4 года назад

2020 brought me here Great video

@carolinepeters5728 5 лет назад

in the example y=x(x-3)(x+2) how do i explain to students which way to draw the graph between the 3 x values - you knew that between -2 and 0 the graph went above the X axis, how do i explain this to them? thanks

@StarfishMaths 5 лет назад

Caroline Peters Good question - I think probably the easiest way is to plot on the y axis where the graph crosses (by using x=0) and then it will be obvious which way round the curve goes. Good luck!

@chidok6821 3 года назад

👌just what I need for my revisions

@DushyantSingh-dt 6 лет назад

Hy Sara, vry vry thnx shre ths vdio ,nd ths s vry hlpful fr m

@rajeshrangari3479 4 года назад

Really awesome teaching!!!

@adibhossain3654 5 лет назад

I LOVE YOU TEACHER

@Kiyodio 5 лет назад

Doesnt factorisation just give you the x intercepts of the curve???

@DEEPAKKUMAR-zf5vx 3 года назад

Thank for your help

@joanmambwe3521 Год назад

Dang I wish you were my lecturer😔

@feranmiodelotan7151 4 года назад

4:27 I have always thought that when polynomials are arranged, they should arranged in descending order of their power. Please confirm if this is necessary

@debasispattanaik8682 3 года назад

it is not actually necessary but it IS more efficient that way. :)

@shabana-insight 4 года назад

Thanks: it is very helpful 🥰😍

@aryan24jan 4 года назад

ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-y_XwQkchwrE.html

@omarbaldomar Год назад

Thank you...❤❤❤

@bhairavkedare9074 2 года назад

Best best best!💯💯❤️

@CarryBhaiya124 6 лет назад

Make a video on Functions,overall your video are helping me a lot,I have a CAIES As exam in September so please make it asap!

@aryan24jan 4 года назад

ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-y_XwQkchwrE.html

@phyusinmyint1752 4 года назад

for 4:55, in the rule of indices why is there a 2 as the coefficient in the second variable of indices

@johnpro2847 4 года назад

problem..in real life you are not given a function or an equation for the curve ..what then ? How do you formulate an function so that you can intergrate ?

@reubenattah8482 Год назад

Very helpful

@sanskarjaiswal6906 2 года назад

In first question of definite integrals the value of second part is -34/3 but I get -70/3. Am I wrong or she made a mistake

@Steve9Freestyle 6 лет назад

Wooo! Go Integration! Go maths! Go Sara!! :D

@kabandajamir9844 Год назад

So nice thanks

@ArlenGriswold 2 месяца назад

thank you

@emmanuelugbor4843 4 года назад

For the first question on the definite integration..I got 57.1 which is the decimal for 343/6...can I leave it as a decimal?

@neerajbojwani3613 5 лет назад

Great video. but you didn't cover volume using integration

@Sivamakrishnan03 5 лет назад

It is Very helpful video for me

@tobydunbar1153 Год назад

Thank you!! Awesome instruction!!

@Ryan-sn7vt 4 года назад

Thanks this helped a lot

@staceymarrion5697 2 года назад

Thnx Sarah

@StarfishMaths 2 года назад

You're very welcome!

@deepanshigangwar9316 3 года назад

This really helpfull thanks 😊

@Christopherdrums 2 года назад

15:34 I’m getting 4/3 instead of 40/3 how did she get it ?

@android-cb6rd 2 года назад

the only reason im passing maths extension

@doreenchristopher6803 Год назад

i love ur videos they re very helpful but for the last equation it was suppose to be 90-4/3 not 90-40/3

@kfjfkeofitorhf9520 Год назад

90--4/3== 270-4/3= 266/3====88,66

@double_a13 4 года назад

It seems to me that that 40/3 should be 4/3 or, maybe its 4.0/3? Is that a mistake or something? If you see this comment, please respond Mam, so as to clear my confusion.

@mohamedasraf9536 5 лет назад

Thanks❤️

@Winfredmurugi 2 года назад

guess whose acing their exam tomorrow 😁😁😁? I am🥳🥳🥳. Thank you

@Lookingforamiracle Год назад

I love this

@ARCHANASINGH-wr3qy 4 года назад

I am sorry but madam my solution of definite integration of the square one is coming 275/6 + 32/3 instead of 275/6 + 34/3, it would be great if you could help.