An Introduction to Integration

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  • Опубліковано 30 січ 2025

КОМЕНТАРІ • 333

  • @user-cz1pk8ru2j
    @user-cz1pk8ru2j 8 років тому +524

    You may not know it, but you actually help out a LOT of students. Great work, please keep it up. A huge thank you from me and my friends. We appreciate it, beyond measures, that you take the time to help out others. Yet again, thank you.

    • @Dila9621
      @Dila9621 4 роки тому +7

      You are definitely not lying

    • @brimaxgamingfun6588
      @brimaxgamingfun6588 4 роки тому +4

      Ya of course

    • @evolvinggenius198
      @evolvinggenius198 4 роки тому +4

      very true

    • @mathematics5573
      @mathematics5573 3 роки тому +3

      he video isn't explaining why Integration is though! what is mean geometrically

    • @mueletech
      @mueletech 2 роки тому +1

      try finding the area in small parts and u will understand better why we raise power and divide by new power

  • @irmalujan7722
    @irmalujan7722 11 місяців тому +27

    I'm in my third year of engineering and have always struggled with integrals and differentials until today. Thank you! You taught me in 16 minutes what I had not understood these past 3 years. You are amazing!!

  • @elizabethwelch5333
    @elizabethwelch5333 3 роки тому +44

    Omg thanks a million....I've learned this in 16 minutes and my teacher has been teacher this for 3 weeks now...I thank God for you...keep uploading and keep safe.

    • @ShamiSamarasekara
      @ShamiSamarasekara 9 місяців тому

      ua-cam.com/video/-7CRPWEHSZM/v-deo.htmlsi=8WhqBppJi-5HNqyK

  • @ic4ri085
    @ic4ri085 6 років тому +245

    Nice one sir....... I really love how you don't make stuff complicated..... Like my school

    • @ShamiSamarasekara
      @ShamiSamarasekara 9 місяців тому

      ua-cam.com/video/-7CRPWEHSZM/v-deo.htmlsi=8WhqBppJi-5HNqyK

  • @MayankLongiany
    @MayankLongiany 2 роки тому +31

    I have nailed integration for the first time in my life today - thanks to you! I usually don't comment on videos, but you left me no choice. Thanks a ton for your easy-to-understand methodologies, sir.

  • @Dila9621
    @Dila9621 4 роки тому +148

    I watched this video only once and I understand stood everything perfectly

  • @citylights2080
    @citylights2080 8 місяців тому +4

    Oh my gosh, I've watched so many videos trying to wrap my head around integration, but nothing clicked until I found your video!
    Seriously, I watched it just once and it all made perfect sense-like a lightbulb moment! Thank you so much for making it so clear. You're a lifesaver and hands down the best out there!

  • @UncleMarley
    @UncleMarley 9 місяців тому +161

    💀 I’m cooked.

  • @PontsoTsukulu
    @PontsoTsukulu 8 місяців тому +2

    Here you are 7 years later. Still saving lives 😊. This is the first time ever I understood integration, I thank you kind Sir

  • @LewisMorgnet
    @LewisMorgnet 5 місяців тому +2

    Mate , compared to this, my teachers suck , your explanation made me get it the first time when i didn't understand a single thing when my teachers taught me. Thank you!

  • @prophettancho7713
    @prophettancho7713 3 роки тому +13

    This is the most explained video on intergration I have ever watched♨

  • @codingdens
    @codingdens 3 роки тому +107

    Crystal Clear explaination........Still useful in 2021! I am doing my AS levels

    • @trapmonstah6749
      @trapmonstah6749 3 роки тому +2

      Explanation*, Crystal clear*

    • @joekeating1172
      @joekeating1172 2 роки тому

      Bruh doing astrophysics litro forgot all this

    • @muqitasid
      @muqitasid 2 роки тому

      @@trapmonstah6749 ur wrong nigga

    • @kgothatsomodipa7646
      @kgothatsomodipa7646 2 роки тому +2

      Even 2k22☺️👌❣️

    • @alekseistaroko1170
      @alekseistaroko1170 Рік тому +1

      Bro i about to have AS levels and i have no idea about math and I’m trying to squeeze everything in

  • @paktatpeter
    @paktatpeter 3 місяці тому +1

    HOLY SHIT
    MATE YOU JUST TAUGHT ME WHAT 100 VIDS COULDNT IN 16 MINS
    THANK YOU SO MUCH

  • @oberon2159
    @oberon2159 2 роки тому +4

    One of the best math videos on the internet.

  • @Altactic
    @Altactic 10 місяців тому +4

    I doubt you’ll read this but if you do thank you so much this is the only video that made This actually click for me.

  • @shalini2511
    @shalini2511 5 років тому +10

    thankyou so much, due to some reason I had to study maths after 3yers, but ur way of explaining...ahhhh... I loved it.........keep it up.

  • @tijolinixpertin
    @tijolinixpertin 10 місяців тому +3

    man this helped me A LOT, even 7 years after it's debut, thanks a lot

  • @smileydream.4033
    @smileydream.4033 3 роки тому +7

    thank you so much

  • @Gifted_E-Learning
    @Gifted_E-Learning Рік тому +12

    You explained even more better than my lecturer. I can integrate now ✍️🎊

  • @leesin3451
    @leesin3451 3 роки тому +2

    I'm so frkn speechless. After a year, i now understand how integration works. Thank you so much!!!

  • @zuhaismail848
    @zuhaismail848 3 роки тому +18

    My teacher never told me why +c was there, just that we always had to put it there...now I understand☺️

  • @ridmasathsarani7468
    @ridmasathsarani7468 3 роки тому +10

    Thank you so much sir. You taught me the content of 5 lectures in 16 mins. You are one of the best. Thankx again.

    • @jamesoyugi2234
      @jamesoyugi2234 2 роки тому

      For personalized tutoring, you can contact me on whatsApp:+19292245243
      Email:oyugiochieng1@gmail.com
      Website:alhamesskillmarket.com/

  • @dianneng358
    @dianneng358 2 роки тому +6

    Your calculations are easy to understand and you make mathematics so enjoyable. Thank you so much for making my day

    • @jamesoyugi2234
      @jamesoyugi2234 2 роки тому

      For personalized tutoring, you can contact me on whatsApp:+19292245243
      Email:oyugiochieng1@gmail.com
      Website:alhamesskillmarket.com/

  • @rashidissa5887
    @rashidissa5887 2 місяці тому

    I thought I would never understand but alas, unfolded now on intergration. Thanks a lot, but have indurance,' cause you are teaching a 79 oldy in love with maths. Greetings from Zanzibar

  • @anime-gens9501
    @anime-gens9501 4 роки тому +8

    Hi. Thank you so much for keeping it simple, I've watch other videos and their first introduction will make you run away. Thanks a lot, you just made so simple.

  • @calvinkinyanjui161
    @calvinkinyanjui161 9 місяців тому

    What I've struggled trying to understand for a whole semester I've understood in 15 minutes. Thank you so much

  • @AntwiKwameAndrews
    @AntwiKwameAndrews Рік тому +1

    Am very happy now
    Because i understand everything and is by your efforts sir
    God Almighty bless you and keep it up ❤❤❤ please more updates

  • @DarthCoco
    @DarthCoco 4 роки тому +20

    From start to end, the video was so helpful

    • @ShamiSamarasekara
      @ShamiSamarasekara 9 місяців тому

      ua-cam.com/video/-7CRPWEHSZM/v-deo.htmlsi=8WhqBppJi-5HNqyK

  • @slzvq
    @slzvq 8 місяців тому

    Tysm, i missed the whole lesson on integration and differentiation and no one explains it better than you do.

  • @rossmcintosh5819
    @rossmcintosh5819 4 роки тому +34

    You have made doing maths fun again. Thank you.

    • @ShamiSamarasekara
      @ShamiSamarasekara 9 місяців тому

      ua-cam.com/video/-7CRPWEHSZM/v-deo.htmlsi=8WhqBppJi-5HNqyK

  • @kylehaynes-smart7984
    @kylehaynes-smart7984 3 роки тому +3

    It's my first time learning about Integration and you've helped me nail it! Thank you so much

  • @ApostleRPaul
    @ApostleRPaul 2 місяці тому

    This is how maths should be. Simple and easy to understand. Thanks, Professor. 🙏

  • @yeukaichivenga7915
    @yeukaichivenga7915 3 роки тому +3

    This is very powerful....this made my day ..was too scared of this topic .thank you

  • @BubbleGum-cc8cq
    @BubbleGum-cc8cq 2 роки тому

    Watching this for IGCSE Pure Maths exam in 2 weeks.This video really helped me . GREAT WORK GENIEE!!!

  • @martao.8663
    @martao.8663 Рік тому

    Easy, and step by step explained, hudge thank you! I thought I'm dealing with black magic, but now all is clear to me, thank you again!

  • @GauravKumawat-my1qy
    @GauravKumawat-my1qy 7 місяців тому

    Im in 9th standard and is having to study this for fun.Great work sir.Understood the first time

  • @owenjc9132
    @owenjc9132 2 роки тому

    I'm doing aerospace in college and have a lecturer who is very limited with his english, he teaching Engineering Mathematics (Higher Tier - A levels maths). You just made something that seemed impossible to very easy. Thankyou

  • @ilikehorrormovies123
    @ilikehorrormovies123 9 місяців тому +1

    This was so easy to understand, I'm in middle school, and I understood everything in this video perfectly

  • @chinelosarah3442
    @chinelosarah3442 Рік тому

    Sir, I'm soooo grateful ❤❤❤
    In 15:58 minutes you explained what my teacher is still teaching for a week
    Thanks alot ❤

  • @ahb6553
    @ahb6553 8 років тому +23

    You're the best maths teacher thanks so much ❤️

  • @zanonoza4918
    @zanonoza4918 Рік тому

    I'll call this Integration Made Easy . You've got a new subscriber . Thank you sir ❤.

  • @pedwardx4579
    @pedwardx4579 5 місяців тому

    Thank you so much!!!
    Your explanation of integration is about to save my life literally

  • @wintanahabtu7259
    @wintanahabtu7259 3 роки тому +2

    I was just curious about integration after seeing a lot of maths memes, although I have had no idea about integration before, I understood it clearly. Thanks for your help😇

  • @zephanoah2510
    @zephanoah2510 5 місяців тому +13

    Anyone watched in 2024? Stuff still useful

  • @MakanbuleaMK-ph3xs
    @MakanbuleaMK-ph3xs 16 днів тому

    Thank you so much I had no understand before I came across your channel but currently 🤧😔😔 I understand it now thank you so much 💕

  • @stellahkilaa1996
    @stellahkilaa1996 Рік тому

    I have understand you completely in minutes in a topic which i have come across different levels of my engineering course without understanding

  • @mehdiveliyev3528
    @mehdiveliyev3528 3 роки тому

    It was very useful!! Thank you. Actually your video helps thousands of students which have weak math fundamentals like me
    . Huge thanks

  • @manmans455
    @manmans455 2 роки тому +1

    Thanks a lot sir for this video I'm learning integration first time for my numericals I searched a lot and watched many videos also but understand nothing then this video came across and first 3 mins made my concept crystal clear....
    Thanks for this🖤

  • @neothegiftt
    @neothegiftt 2 роки тому +1

    A big thank you for helping me out with this topic. it was on of those difficult topics i couldn't understand and you explained it so perfectly. once again, Thank You :)

  • @sundaywisdom2104
    @sundaywisdom2104 3 роки тому +2

    This is the best video I've seen 👏 he made it so easy to understand

  • @maisenpai8378
    @maisenpai8378 4 роки тому +6

    U r clearly the best and my favourite maths teacher 😍😍😍😍 thank you for ur every lesson sir 😍

  • @eajeimagodei8627
    @eajeimagodei8627 3 роки тому +2

    You are a great mathematician bro I thank you for your help, God bless you again and again

  • @theakassab1661
    @theakassab1661 3 роки тому +2

    My finals are in 1 week thank you sm this helped a lot

  • @Miko-orginal-1
    @Miko-orginal-1 3 роки тому +1

    I’m going to go insane I spent 2 hours trying to teach my self and I just found out it was this easy

    • @Miko-orginal-1
      @Miko-orginal-1 3 роки тому +1

      Why didn’t you do exam questions dumbass you would’ve still rembered it

  • @ruaridhusher4373
    @ruaridhusher4373 4 роки тому +5

    my teacher does not understand video lessons, thanks for saving lockdown :)

  • @folaonigbinde9359
    @folaonigbinde9359 Рік тому

    So helpful, I have an exam in 2 days and I really needed it

  • @Oyinoluwa-wc2xp
    @Oyinoluwa-wc2xp 7 місяців тому

    I love the video. Was able to understand integration fully, all thanks to your video ❤

  • @qasinayat283
    @qasinayat283 Рік тому

    yes bro what a video may Allah reward you for helping me get good results ameen

  • @keiran5333
    @keiran5333 4 роки тому +7

    integration is such a good topic ngl, calculus is something i’ve always wanted to learn so here’s something to do after learning differentiation i guess

  • @Y45-UK
    @Y45-UK 2 роки тому

    I'm In Year 9 and I understood this a level maths topic right off. Great video

  • @aaronmoonga3669
    @aaronmoonga3669 3 роки тому

    Thanks a lot, the best integration lesson i have come accross thus far

  • @oliviamireillefadele918
    @oliviamireillefadele918 2 місяці тому

    thanks you so much. I have an exam in 2 day and i didnt undestand this part. I got it now

  • @universal1769
    @universal1769 3 роки тому

    Great sir I have understood the actual procces to solve integration ❤️❤️❤️❤️❤️ I don't know sir , how I provide a 😊 thank??? Lot of thanks sir from my soul, stay healthy both physically and mentally , and supply us such a type of doubt clearence video 🙏🙏🙏🙏

  • @ayodeletemmy9350
    @ayodeletemmy9350 2 роки тому

    This really add to my knowledge, More power to your elbow, Thanks very much 🙏🙏

  • @directdetect2686
    @directdetect2686 2 роки тому

    Ha, I am 50 and just understood the integrals! Thank you, Sir!

  • @MunirShehu-f1b
    @MunirShehu-f1b 4 місяці тому

    You're the best.Keep up the good work sir

  • @NballuCakamara-hi1dw
    @NballuCakamara-hi1dw 11 місяців тому

    It's more understanding than the one the lectures explained thanks

  • @rosekays-y4v
    @rosekays-y4v 8 днів тому

    Great explanation there , thanks for coming through

  • @TijaniIbrahimzati-yi3jg
    @TijaniIbrahimzati-yi3jg 5 місяців тому

    Thabks a lot...
    2024 and the video is still helpful...
    I hope to learn more from you sir♡

  • @Lostguy_47
    @Lostguy_47 Місяць тому +1

    I have exam over this tomorrow . I'm dead cooked

  • @renuchoudhary869
    @renuchoudhary869 2 роки тому

    I literally have my physics exam tomorrow and was struggling with integration, you the best thank you so much

  • @_Blaboe_
    @_Blaboe_ 3 роки тому +1

    please check the last question well
    1 raised to the power negative 5 is negative 1
    multiplied by negative 2 is postive 2
    which makes the answer for c 2

  • @rotimioluwaseun6426
    @rotimioluwaseun6426 2 роки тому +1

    This is interesting and well explanatory sir,GOD bless you sir.

  • @CarolineOshin
    @CarolineOshin 5 місяців тому

    Thanks a lot👍 .
    I was able to solve the rest of your examples with your explanations 😊.

  • @dgrando202
    @dgrando202 Рік тому

    I watched integration last nigjt and aomething clicked in my brain, im 36 and just beginning to fall in love with math. Because that clicked last night this just fell into place today yay! I cant believe I've wasted decades of my life NOT doing math 😢

  • @SamOmoko
    @SamOmoko Рік тому

    Mehn ,God will bless you bro ,I know I'm gonna pass my exam now

  • @felixrobinson7284
    @felixrobinson7284 Рік тому

    THANK YOU SO MUCH SIR,ON MONDAY WE ARE WRITING QUANTITATIVE ANALYSIS

  • @hyacinth-st
    @hyacinth-st 2 роки тому

    Just watch one time I understand everything. Thanks a lot!

  • @kuolanguikmajith2783
    @kuolanguikmajith2783 2 роки тому

    Great work. Thanks for this vedio. I have a question here on the last example, wasn't (c) suppose to be =2. Because;
    3=[(1)cube]+[-2(1)square]+[-2(1)raised to power -5] + c. =
    3 = 1 -2(1) + [-2(-1)] + c
    3 = 1-2+2+c
    3 = 3-2+c
    3 = 1+c
    3-1=c c=2. Thanks

  • @rimamsanatinathan9506
    @rimamsanatinathan9506 9 місяців тому

    Men am grateful fist time understanding this math

  • @uptownabu1
    @uptownabu1 5 місяців тому

    Sir, thank you very much for making this clear to me and many others ❤

  • @viccini
    @viccini 3 роки тому

    Thank you so much. You helped me start calculus

  • @darrensghostwriter9050
    @darrensghostwriter9050 Рік тому

    Thank you for this, you give clear and concise examples and explanations

  • @oluwadunmininuoluremi9579
    @oluwadunmininuoluremi9579 Рік тому

    Thank you so much, this video helped and simplified things a lot.

  • @pmcshackle3782
    @pmcshackle3782 3 роки тому

    This one tastes the greatest ... Thanks my guy

  • @somayahmohammed315
    @somayahmohammed315 3 роки тому +1

    Excellent , Great work thank you millions

  • @luminous6084
    @luminous6084 4 роки тому +6

    This is lovely

  • @NobleDee70
    @NobleDee70 4 роки тому +1

    at 15:06 the answer is +2 not -2, which will make c=2

    • @Elias.04
      @Elias.04 3 роки тому +1

      Nope when you integrate + 10x^-6, it goes to 10x^-5/-5. We can cancel out the factor of 5 and simplify to 2x^-5/-1 and then get rid of the negative on the denominator by multiplying the top and bottom by -1, which therefore makes it -2x^-5 and the overall expression y = x^3 - 2x^2 - 2x^-5 + c. When we substitute x and y into this, we get 3 = (1)^3 - 2(1)^2 - 2(1)^-5 + c, which is 3 = 1 - 2 - 2 + c then 3 = -3 + c so c = 6.

  • @sevinchxasanova1053
    @sevinchxasanova1053 12 днів тому +1

    Thank you veryyyyy much

  • @iyokeobinna2363
    @iyokeobinna2363 3 роки тому

    Nice work, you explained it clearly to my understanding, my teacher own is complicated to understand

  • @iftikharalikhan4303
    @iftikharalikhan4303 2 роки тому

    Easy understanding method. Well done.

  • @JoshBoadu
    @JoshBoadu 2 роки тому

    I feel like an idiot
    I was so scared of this shit back in high school soo much that when I preparing for finals in elective math I skipped calculus Cuz I was scared shitless of this.
    Extraordinarily, by God's, there was no calculus in the paper and I passed... Wtf
    This shit was this easy...
    Thnx man
    Really thnx

  • @cgreat8983
    @cgreat8983 7 місяців тому +1

    Omg so beautifully explained

  • @beatricenjuguna-os3hr
    @beatricenjuguna-os3hr 7 місяців тому

    Nice explaining..... Your'e good at this

  • @BridgetChimpabu
    @BridgetChimpabu 8 місяців тому

    Thank you sir Bridget from Zambia great work

  • @codyannall5648
    @codyannall5648 2 роки тому

    I'm only in S2 (i don't know what year that is for Americans of English folk) and u made it easy for even me to understand and that is something to accomplish XD

  • @nathanielb1538
    @nathanielb1538 Рік тому +1

    I’m in year 8 and I randomly watch videos explaining very complex mathematics to see if I understand it
    I don’t💀☠️

  • @merhawitsegay5929
    @merhawitsegay5929 9 місяців тому +1

    Very nicely I love it❤❤❤❤❤❤❤❤❤

  • @Athousandapologies
    @Athousandapologies 3 роки тому

    Thanks sir, I can't believe this stuff is free

  • @ramisafaruque
    @ramisafaruque 3 роки тому +1

    can you make different playlists for differentiation, integration, etc.?