Integration

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  • เผยแพร่เมื่อ 18 มิ.ย. 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

ความคิดเห็น • 206

  • @syafiy7290
    @syafiy7290 3 ปีที่แล้ว +114

    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 ปีที่แล้ว +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 ปีที่แล้ว +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 ปีที่แล้ว +5

      Ditto - I'm 46.

    • @strike9997
      @strike9997 4 ปีที่แล้ว +18

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

    • @aryan24jan
      @aryan24jan 3 ปีที่แล้ว

      th-cam.com/video/y_XwQkchwrE/w-d-xo.html

    • @fbtrappo9715
      @fbtrappo9715 3 ปีที่แล้ว +2

      Simp

  • @ridmasathsarani7468
    @ridmasathsarani7468 2 ปีที่แล้ว +4

    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!

  • @delightdovlo7121
    @delightdovlo7121 5 หลายเดือนก่อน +3

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

  • @bhairavkedare9074
    @bhairavkedare9074 ปีที่แล้ว +8

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

  • @adora2593
    @adora2593 6 ปีที่แล้ว +36

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

  • @arjitvashishta7572
    @arjitvashishta7572 4 ปีที่แล้ว +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 ปีที่แล้ว

      th-cam.com/video/y_XwQkchwrE/w-d-xo.html

  • @md.shohidulislam922
    @md.shohidulislam922 ปีที่แล้ว +2

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

  • @bununu1621
    @bununu1621 4 ปีที่แล้ว +19

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

  • @jeremiahekochu2354
    @jeremiahekochu2354 ปีที่แล้ว +3

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

  • @nishatari7042
    @nishatari7042 3 ปีที่แล้ว +9

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

    • @beoptimistic5853
      @beoptimistic5853 3 ปีที่แล้ว

      th-cam.com/video/XQIbn27dOjE/w-d-xo.html 💐💐👍

  • @samstephen3678
    @samstephen3678 2 ปีที่แล้ว

    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 ปีที่แล้ว +1

    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.

  • @chrishemsley8889
    @chrishemsley8889 3 ปีที่แล้ว +1

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

  • @jay1435
    @jay1435 4 ปีที่แล้ว +2

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

  • @dynipjohn485
    @dynipjohn485 5 ปีที่แล้ว +2

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

  • @blessednjoki5450
    @blessednjoki5450 ปีที่แล้ว

    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.

  • @elinahmoyo2481
    @elinahmoyo2481 2 ปีที่แล้ว +1

    your explanations are easy to comprehend, thank you😊

  • @tj9382
    @tj9382 3 ปีที่แล้ว +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. 👍

  • @nicolesueann4869
    @nicolesueann4869 5 ปีที่แล้ว

    Your explanations are really easy to understand. Thanks

  • @JikanGwarzoKd
    @JikanGwarzoKd ปีที่แล้ว +1

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

  • @Parax77
    @Parax77 3 ปีที่แล้ว +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

  • @manasamagesh5107
    @manasamagesh5107 3 ปีที่แล้ว +2

    simply loved your way of teaching! Thank you soo much

    • @beoptimistic5853
      @beoptimistic5853 3 ปีที่แล้ว

      th-cam.com/video/XQIbn27dOjE/w-d-xo.html 💐💐👍

  • @carolruramaikavhai3830
    @carolruramaikavhai3830 4 ปีที่แล้ว +1

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

    • @beoptimistic5853
      @beoptimistic5853 3 ปีที่แล้ว

      th-cam.com/video/XQIbn27dOjE/w-d-xo.html 💐💐👍

  • @zacharydean1953
    @zacharydean1953 3 ปีที่แล้ว

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

  • @chtan7351
    @chtan7351 ปีที่แล้ว

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

  • @staremmitor7946
    @staremmitor7946 11 หลายเดือนก่อน +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

  • @Dinesh11_
    @Dinesh11_ 2 ปีที่แล้ว

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

  • @azmanfaruqui2861
    @azmanfaruqui2861 ปีที่แล้ว

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

  • @dorcasdickson9935
    @dorcasdickson9935 3 ปีที่แล้ว +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

  • @lovemoremurozvi7065
    @lovemoremurozvi7065 4 ปีที่แล้ว +1

    what a great tutor,keep up the spirit

  • @AmjadAli-dg7ll
    @AmjadAli-dg7ll 4 ปีที่แล้ว

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

  • @vmtvf
    @vmtvf 9 หลายเดือนก่อน +1

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

  • @paigeson3069
    @paigeson3069 2 ปีที่แล้ว

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

  • @zuhraaz
    @zuhraaz 4 ปีที่แล้ว +1

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

    • @beoptimistic5853
      @beoptimistic5853 3 ปีที่แล้ว

      th-cam.com/video/XQIbn27dOjE/w-d-xo.html 💐💐👍

  • @elaihooghosa8246
    @elaihooghosa8246 ปีที่แล้ว

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

  • @logan0326
    @logan0326 4 ปีที่แล้ว +3

    Super helpful, thank you!

  • @shannakamburugamuwa6752
    @shannakamburugamuwa6752 5 ปีที่แล้ว +3

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

  • @pranayakhadka3507
    @pranayakhadka3507 3 ปีที่แล้ว

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

  • @damutskhemsyndai5413
    @damutskhemsyndai5413 2 ปีที่แล้ว

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

  • @jamespalgrave69
    @jamespalgrave69 6 ปีที่แล้ว +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  6 ปีที่แล้ว

      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!

  • @chillvibez223
    @chillvibez223 ปีที่แล้ว

    Love and understand the teaching.👌

  • @avesta5390
    @avesta5390 5 ปีที่แล้ว +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 ปีที่แล้ว +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 ปีที่แล้ว

      Starfish Maths thank you for your reply!

    • @UnveilingChronicle
      @UnveilingChronicle 2 ปีที่แล้ว

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

  • @zainejaz434
    @zainejaz434 4 ปีที่แล้ว +3

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

  • @rajeshrangari3479
    @rajeshrangari3479 3 ปีที่แล้ว

    Really awesome teaching!!!

  • @rohinihrudhay5600
    @rohinihrudhay5600 4 ปีที่แล้ว +1

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

  • @jahanzebnaeem3169
    @jahanzebnaeem3169 6 ปีที่แล้ว +18

    Such a great teacher! Need more vids.

    • @StarfishMaths
      @StarfishMaths  6 ปีที่แล้ว +2

      Jahanzeb Naeem Thank you very much!

  • @adnanshahbaz7166
    @adnanshahbaz7166 3 ปีที่แล้ว +1

    U have helped me a lot. Thank u💕

  • @sou_theslytherin5203
    @sou_theslytherin5203 ปีที่แล้ว +2

    Studying the day before exam 🤞🏻

  • @moyoceil125
    @moyoceil125 4 ปีที่แล้ว

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

  • @DushyantSingh-dt
    @DushyantSingh-dt 5 ปีที่แล้ว +1

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

  • @priyanouman7135
    @priyanouman7135 3 ปีที่แล้ว +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 ปีที่แล้ว

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

  • @makunguhlatshwayo3579
    @makunguhlatshwayo3579 ปีที่แล้ว

    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💥

  • @adelmath-com
    @adelmath-com 2 ปีที่แล้ว +1

    Thank you so much.👌

  • @zlayer_115
    @zlayer_115 2 ปีที่แล้ว

    you are an amazing teacher may god bless you

  • @shrawannikumbh8701
    @shrawannikumbh8701 3 ปีที่แล้ว

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

  • @liquidhill
    @liquidhill 5 ปีที่แล้ว

    Great video thanks for this!

  • @chidok6821
    @chidok6821 3 ปีที่แล้ว

    👌just what I need for my revisions

  • @emmanuelugbor4843
    @emmanuelugbor4843 4 ปีที่แล้ว

    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?

  • @emezenos
    @emezenos ปีที่แล้ว

    i love you, thanks for saving my high school

  • @bankoleganiyat2982
    @bankoleganiyat2982 ปีที่แล้ว

    Thanks for the video I really learnt alot

  • @MamtaSharma-wz9kw
    @MamtaSharma-wz9kw 3 ปีที่แล้ว +1

    Thanks for this
    Love from INDIA 🇮🇳

  • @sg30
    @sg30 5 ปีที่แล้ว

    Thanks, it helped a lot ! :)

  • @viviannetakawira9459
    @viviannetakawira9459 2 ปีที่แล้ว

    I now understand intergration. Thank you

  • @CarryBhaiya124
    @CarryBhaiya124 5 ปีที่แล้ว +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 ปีที่แล้ว

      th-cam.com/video/y_XwQkchwrE/w-d-xo.html

  • @carolinepeters5728
    @carolinepeters5728 5 ปีที่แล้ว +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  5 ปีที่แล้ว

      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!

  • @DEEPAKKUMAR-zf5vx
    @DEEPAKKUMAR-zf5vx 2 ปีที่แล้ว

    Thank for your help

  • @gunnermando1
    @gunnermando1 5 ปีที่แล้ว

    ​ 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 ปีที่แล้ว +1

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

    • @willisfleming2893
      @willisfleming2893 4 ปีที่แล้ว

      The smaller limit goes on the bottom

  • @felicityadj5886
    @felicityadj5886 2 ปีที่แล้ว

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

  • @phyusinmyint1752
    @phyusinmyint1752 4 ปีที่แล้ว

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

  • @jabinrobbie3992
    @jabinrobbie3992 4 ปีที่แล้ว +5

    Bless you for making this video, great help

    • @aryan24jan
      @aryan24jan 3 ปีที่แล้ว

      th-cam.com/video/y_XwQkchwrE/w-d-xo.html

  • @Kiyodio
    @Kiyodio 5 ปีที่แล้ว +1

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

  • @Steve9Freestyle
    @Steve9Freestyle 6 ปีที่แล้ว +1

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

  • @abisaajinikirushanth4857
    @abisaajinikirushanth4857 ปีที่แล้ว

    I have understood very clearly perfect❤

  • @limitlessguides1517
    @limitlessguides1517 5 ปีที่แล้ว

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

  • @Ryan-sn7vt
    @Ryan-sn7vt 4 ปีที่แล้ว

    Thanks this helped a lot

  • @tobydunbar1153
    @tobydunbar1153 ปีที่แล้ว

    Thank you!! Awesome instruction!!

  • @amirsohail9560
    @amirsohail9560 5 ปีที่แล้ว +8

    and that is how you teach maths!

  • @abdul-ganiyyoladele1081
    @abdul-ganiyyoladele1081 2 ปีที่แล้ว

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

  • @purna5628
    @purna5628 4 ปีที่แล้ว

    Thank you man 👍

  • @adammohammad9051
    @adammohammad9051 4 ปีที่แล้ว

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

  • @adibhossain3654
    @adibhossain3654 4 ปีที่แล้ว +1

    I LOVE YOU TEACHER

  • @sivaramakrishnanr6149
    @sivaramakrishnanr6149 5 ปีที่แล้ว

    It is Very helpful video for me

  • @LucidSonder
    @LucidSonder 5 ปีที่แล้ว

    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.

  • @deepanshigangwar9316
    @deepanshigangwar9316 3 ปีที่แล้ว

    This really helpfull thanks 😊

  • @feranmiodelotan7151
    @feranmiodelotan7151 3 ปีที่แล้ว +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 ปีที่แล้ว

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

  • @omarbaldomar
    @omarbaldomar ปีที่แล้ว

    Thank you...❤❤❤

  • @shabana-insight
    @shabana-insight 4 ปีที่แล้ว +1

    Thanks: it is very helpful 🥰😍

    • @aryan24jan
      @aryan24jan 3 ปีที่แล้ว

      th-cam.com/video/y_XwQkchwrE/w-d-xo.html

  • @mohamedasraf9536
    @mohamedasraf9536 5 ปีที่แล้ว +1

    Thanks❤️

  • @kabandajamir9844
    @kabandajamir9844 ปีที่แล้ว

    So nice thanks

  • @therackusboyoz2857
    @therackusboyoz2857 3 ปีที่แล้ว +1

    2020 brought me here
    Great video

  • @ARCHANASINGH-wr3qy
    @ARCHANASINGH-wr3qy 4 ปีที่แล้ว

    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.

  • @elliottcrocker1270
    @elliottcrocker1270 5 ปีที่แล้ว

    not sure for the last question why u didn't just set the functions equal to each other and integrate the new curve, but neverthless a great video

  • @johnpro2847
    @johnpro2847 4 ปีที่แล้ว

    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 ?

  • @mercysibanesihletshuma6221
    @mercysibanesihletshuma6221 4 ปีที่แล้ว

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

  • @reubenattah8482
    @reubenattah8482 ปีที่แล้ว

    Very helpful

  • @double_a13
    @double_a13 4 ปีที่แล้ว

    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.

  • @ggg-qz8xz
    @ggg-qz8xz 4 ปีที่แล้ว

    THANK YOU

  • @rajenderkonka1296
    @rajenderkonka1296 5 ปีที่แล้ว

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

  • @hufsajaved3491
    @hufsajaved3491 3 ปีที่แล้ว

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