Integration

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  • Опубліковано 18 чер 2018
  • 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!
    www.buymeacoffee.com/starfish...
    www.starfishmaths.com
    starfishmaths@gmail.com

КОМЕНТАРІ • 204

  • @syafiy7290
    @syafiy7290 3 роки тому +113

    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 !!

  • @AdityaKumar-hy6fo
    @AdityaKumar-hy6fo 5 років тому +150

    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
      @StarfishMaths  5 років тому +17

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

    • @RufusEatsCheese
      @RufusEatsCheese 5 років тому +5

      Ditto - I'm 46.

    • @strike9997
      @strike9997 4 роки тому +18

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

    • @aryan24jan
      @aryan24jan 3 роки тому

      ua-cam.com/video/y_XwQkchwrE/v-deo.html

    • @fbtrappo9715
      @fbtrappo9715 3 роки тому +2

      Simp

  • @bhairavkedare9074
    @bhairavkedare9074 Рік тому +8

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

  • @adora2593
    @adora2593 6 років тому +36

    I understand integration way better now, after watching this video! Much appreciated!

  • @md.shohidulislam922
    @md.shohidulislam922 Рік тому +2

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

  • @delightdovlo7121
    @delightdovlo7121 4 місяці тому +2

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

  • @arjitvashishta7572
    @arjitvashishta7572 4 роки тому +11

    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
      @aryan24jan 3 роки тому

      ua-cam.com/video/y_XwQkchwrE/v-deo.html

  • @ridmasathsarani7468
    @ridmasathsarani7468 2 роки тому +2

    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!

  • @jeremiahekochu2354
    @jeremiahekochu2354 Рік тому +3

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

  • @bununu1621
    @bununu1621 4 роки тому +19

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

  • @nishatari7042
    @nishatari7042 3 роки тому +9

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

    • @beoptimistic5853
      @beoptimistic5853 3 роки тому

      ua-cam.com/video/XQIbn27dOjE/v-deo.html 💐💐👍

  • @chrishemsley8889
    @chrishemsley8889 3 роки тому +1

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

  • @samstephen3678
    @samstephen3678 2 роки тому

    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....

  • @unruly_ronin
    @unruly_ronin 3 роки тому

    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.

  • @dynipjohn485
    @dynipjohn485 4 роки тому +2

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

  • @nicolesueann4869
    @nicolesueann4869 5 років тому

    Your explanations are really easy to understand. Thanks

  • @staremmitor7946
    @staremmitor7946 10 місяців тому +2

    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

  • @jay1435
    @jay1435 4 роки тому +1

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

  • @elinahmoyo2481
    @elinahmoyo2481 Рік тому +1

    your explanations are easy to comprehend, thank you😊

  • @JikanGwarzoKd
    @JikanGwarzoKd Рік тому +1

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

  • @manasamagesh5107
    @manasamagesh5107 3 роки тому +2

    simply loved your way of teaching! Thank you soo much

    • @beoptimistic5853
      @beoptimistic5853 3 роки тому

      ua-cam.com/video/XQIbn27dOjE/v-deo.html 💐💐👍

  • @lovemoremurozvi7065
    @lovemoremurozvi7065 4 роки тому +1

    what a great tutor,keep up the spirit

  • @blessednjoki5450
    @blessednjoki5450 Рік тому

    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.

  • @Parax77
    @Parax77 3 роки тому +4

    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

  • @chillvibez223
    @chillvibez223 Рік тому

    Love and understand the teaching.👌

  • @tj9382
    @tj9382 3 роки тому +1

    What most teachers overlook when trying to explain the c constant is the fact that the function denotes a whole family of curves and all the constant does is determine its position on the y axis.
    Great videos though and well explained. You have a great way of making light work of explaining rather complex knowledge and conveying the key points without rambling on, which is what I’m starting to do so I’m out. 👍

  • @vmtvf
    @vmtvf 8 місяців тому +1

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

  • @paigeson3069
    @paigeson3069 2 роки тому

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

  • @zacharydean1953
    @zacharydean1953 3 роки тому

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

  • @azmanfaruqui2861
    @azmanfaruqui2861 Рік тому

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

  • @AmjadAli-dg7ll
    @AmjadAli-dg7ll 4 роки тому

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

  • @carolruramaikavhai3830
    @carolruramaikavhai3830 3 роки тому +1

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

    • @beoptimistic5853
      @beoptimistic5853 3 роки тому

      ua-cam.com/video/XQIbn27dOjE/v-deo.html 💐💐👍

  • @rajeshrangari3479
    @rajeshrangari3479 3 роки тому

    Really awesome teaching!!!

  • @Dinesh11_
    @Dinesh11_ Рік тому

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

  • @sou_theslytherin5203
    @sou_theslytherin5203 Рік тому +2

    Studying the day before exam 🤞🏻

  • @logan0326
    @logan0326 4 роки тому +3

    Super helpful, thank you!

  • @chtan7351
    @chtan7351 Рік тому

    With the method
    Time and take
    Add and divide
    I'm able to solve many problems.
    Best lecturer

  • @damutskhemsyndai5413
    @damutskhemsyndai5413 2 роки тому

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

  • @shannakamburugamuwa6752
    @shannakamburugamuwa6752 5 років тому +3

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

  • @moyoceil125
    @moyoceil125 3 роки тому

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

  • @pranayakhadka3507
    @pranayakhadka3507 2 роки тому

    I have been wasting my time going to school and college. After watching your I am beginning to like doing Integration.... Thank u......

  • @zuhraaz
    @zuhraaz 4 роки тому +1

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

    • @beoptimistic5853
      @beoptimistic5853 3 роки тому

      ua-cam.com/video/XQIbn27dOjE/v-deo.html 💐💐👍

  • @elaihooghosa8246
    @elaihooghosa8246 Рік тому

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

  • @adnanshahbaz7166
    @adnanshahbaz7166 3 роки тому +1

    U have helped me a lot. Thank u💕

  • @zlayer_115
    @zlayer_115 2 роки тому

    you are an amazing teacher may god bless you

  • @tobydunbar1153
    @tobydunbar1153 Рік тому

    Thank you!! Awesome instruction!!

  • @jahanzebnaeem3169
    @jahanzebnaeem3169 5 років тому +18

    Such a great teacher! Need more vids.

    • @StarfishMaths
      @StarfishMaths  5 років тому +2

      Jahanzeb Naeem Thank you very much!

  • @emezenos
    @emezenos Рік тому

    i love you, thanks for saving my high school

  • @DushyantSingh-dt
    @DushyantSingh-dt 5 років тому +1

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

  • @liquidhill
    @liquidhill 5 років тому

    Great video thanks for this!

  • @rohinihrudhay5600
    @rohinihrudhay5600 4 роки тому +1

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

  • @chidok6821
    @chidok6821 3 роки тому

    👌just what I need for my revisions

  • @viviannetakawira9459
    @viviannetakawira9459 2 роки тому

    I now understand intergration. Thank you

  • @adelmath-com
    @adelmath-com 2 роки тому +1

    Thank you so much.👌

  • @bankoleganiyat2982
    @bankoleganiyat2982 Рік тому

    Thanks for the video I really learnt alot

  • @dorcasdickson9935
    @dorcasdickson9935 3 роки тому +1

    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

  • @MamtaSharma-wz9kw
    @MamtaSharma-wz9kw 3 роки тому +1

    Thanks for this
    Love from INDIA 🇮🇳

  • @shrawannikumbh8701
    @shrawannikumbh8701 3 роки тому

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

  • @abisaajinikirushanth4857
    @abisaajinikirushanth4857 Рік тому

    I have understood very clearly perfect❤

  • @felicityadj5886
    @felicityadj5886 2 роки тому

    this is the only youtuber who doesnt say....go on click the subscrtibe button...instead she says grab your pen and paper !!!!...subscribed !!!

  • @zainejaz434
    @zainejaz434 4 роки тому +3

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

  • @jabinrobbie3992
    @jabinrobbie3992 4 роки тому +5

    Bless you for making this video, great help

    • @aryan24jan
      @aryan24jan 3 роки тому

      ua-cam.com/video/y_XwQkchwrE/v-deo.html

  • @makunguhlatshwayo3579
    @makunguhlatshwayo3579 Рік тому

    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
    @jamespalgrave69 5 років тому +2

    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
      @StarfishMaths  5 років тому

      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!

  • @sg30
    @sg30 5 років тому

    Thanks, it helped a lot ! :)

  • @DEEPAKKUMAR-zf5vx
    @DEEPAKKUMAR-zf5vx 2 роки тому

    Thank for your help

  • @sivaramakrishnanr6149
    @sivaramakrishnanr6149 5 років тому

    It is Very helpful video for me

  • @Ryan-sn7vt
    @Ryan-sn7vt 3 роки тому

    Thanks this helped a lot

  • @priyanouman7135
    @priyanouman7135 3 роки тому +1

    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
      @StarfishMaths  3 роки тому

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

  • @avesta5390
    @avesta5390 5 років тому +1

    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
      @StarfishMaths  5 років тому +1

      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
      @avesta5390 5 років тому

      Starfish Maths thank you for your reply!

    • @UnveilingChronicle
      @UnveilingChronicle 2 роки тому

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

  • @limitlessguides1517
    @limitlessguides1517 5 років тому

    wow!!! i love integration.thax a lot............

  • @deepanshigangwar9316
    @deepanshigangwar9316 3 роки тому

    This really helpfull thanks 😊

  • @abdul-ganiyyoladele1081
    @abdul-ganiyyoladele1081 2 роки тому

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

  • @omarbaldomar
    @omarbaldomar Рік тому

    Thank you...❤❤❤

  • @shabana-insight
    @shabana-insight 4 роки тому +1

    Thanks: it is very helpful 🥰😍

    • @aryan24jan
      @aryan24jan 3 роки тому

      ua-cam.com/video/y_XwQkchwrE/v-deo.html

  • @purna5628
    @purna5628 4 роки тому

    Thank you man 👍

  • @adammohammad9051
    @adammohammad9051 4 роки тому

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

  • @adibhossain3654
    @adibhossain3654 4 роки тому +1

    I LOVE YOU TEACHER

  • @kabandajamir9844
    @kabandajamir9844 Рік тому

    So nice thanks

  • @bhairavkedare9074
    @bhairavkedare9074 Рік тому

    Best best best!💯💯❤️

  • @amirsohail9560
    @amirsohail9560 5 років тому +8

    and that is how you teach maths!

  • @Steve9Freestyle
    @Steve9Freestyle 6 років тому +1

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

  • @CarryBhaiya124
    @CarryBhaiya124 5 років тому +1

    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
      @aryan24jan 3 роки тому

      ua-cam.com/video/y_XwQkchwrE/v-deo.html

  • @reubenattah8482
    @reubenattah8482 Рік тому

    Very helpful

  • @mohamedasraf9536
    @mohamedasraf9536 5 років тому +1

    Thanks❤️

  • @therackusboyoz2857
    @therackusboyoz2857 3 роки тому +1

    2020 brought me here
    Great video

  • @Lookingforamiracle
    @Lookingforamiracle Рік тому

    I love this

  • @gunnermando1
    @gunnermando1 5 років тому

    ​ Starfish Maths , for the question at 12:00 how do I know whether the limiter is to go to the top or the bottom? Or is that not necessary?
    Also how did 90-40/3 come to 266/3?

    • @nooneknows835
      @nooneknows835 5 років тому +1

      just worked it out mate and it should be 90-4/3, mustve put 40 instead of 4 by mistake

    • @willisfleming2893
      @willisfleming2893 4 роки тому

      The smaller limit goes on the bottom

  • @rajenderkonka1296
    @rajenderkonka1296 5 років тому

    madam happy to explore that you did a great job and really very helpful to all how to want to know integrations

  • @emmanuelugbor4843
    @emmanuelugbor4843 4 роки тому

    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?

  • @ggg-qz8xz
    @ggg-qz8xz 4 роки тому

    THANK YOU

  • @carolinepeters5728
    @carolinepeters5728 4 роки тому +2

    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
      @StarfishMaths  4 роки тому

      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!

  • @Kiyodio
    @Kiyodio 5 років тому +1

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

  • @phyusinmyint1752
    @phyusinmyint1752 4 роки тому

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

  • @hufsajaved3491
    @hufsajaved3491 3 роки тому

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

  • @mercysibanesihletshuma6221
    @mercysibanesihletshuma6221 4 роки тому

    Great vid. I recently posted an example of integration by parts on my channel.

  • @LucidSonder
    @LucidSonder 5 років тому

    Please please make videos for the core 34 for Edexcel and maybe M1 and M2 if you can and I was also wondering if you give online courses that I can join.

  • @thethrowbackguy4319
    @thethrowbackguy4319 4 роки тому +1

    Thank youuu

  • @feranmiodelotan7151
    @feranmiodelotan7151 3 роки тому +1

    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
      @debasispattanaik8682 3 роки тому

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

  • @sarahnakutoiakule5961
    @sarahnakutoiakule5961 5 років тому

    thanks namesy