Integration Using The Substitution Rule

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  • Опубликовано: 3 фев 2025

Комментарии • 252

  • @williamgutierrez9227
    @williamgutierrez9227 6 лет назад +420

    Professor Dave is the teacher you always wanted but never had. Thank you, Professor Dave. You have saved me multiple times.

  • @spike35540
    @spike35540 5 лет назад +173

    You just saved me another panic headache. You explain things so well, even my engineer of a father recommended you over his own explanations. Thanks a lot!

  • @hafsarazzaq929
    @hafsarazzaq929 3 года назад +47

    He explains so well in so little time. I love the excercises at the end because it helps me review what you taught and makes me more confident in what I learnt.

  • @kavyahegade6477
    @kavyahegade6477 4 года назад +297

    There is a simple way to understand science.. Just take your phone/pc --> youtube --> Professor dave explains.. that's all

  • @Syntaxxed
    @Syntaxxed 7 месяцев назад +17

    my new study method is watching 10min youtube videos before reading my text book. Idk how they do it, but each and every teacher/text book manages to make me super confused and make everything harder than it actually is. Thank you for your service prof Dave!

  • @samberg7400
    @samberg7400 5 лет назад +18

    Dude my AP calc exam is tomorrow and no one could explain substitution to me until you, I’m in debt and at your service!

  • @sojulia1990
    @sojulia1990 5 лет назад +124

    I'm a 12 year old tryna learn calculus and also I'm from the philippines and glad to say,this helped me a lot!
    +1 sub for you!

    • @38Fanda
      @38Fanda 5 лет назад +45

      You can learn all high school, college math within a year by giving yourself a reason to do it for, since the brain is evolved to do certain tasks, for survival and reproduction. Save yourself a lot of time and money by doing AP exams way earlier, screw the norm brother.

    • @bologna3464
      @bologna3464 4 года назад +29

      Damn, respect to you. I'd never be able to understand this at 12.

    • @BossKing1243
      @BossKing1243 4 года назад +1

      @@bologna3464 facts lol

    • @add852
      @add852 3 года назад

      saan ka nagaaral?

    • @wizard.01
      @wizard.01 3 года назад +16

      You're wasting your childhood

  • @joshuayapasi4335
    @joshuayapasi4335 4 года назад +24

    Man you're genius. Every problem just make sense.

  • @BoothPlayer
    @BoothPlayer 6 лет назад +18

    You're an amazing teacher! Pls keep up with the great work!

  • @Dius21
    @Dius21 3 года назад +9

    Thanks a lot!!! I usually have no problem in maths but for some reason I simply wasn't able to wrap my head around integration by substitution. This really cleared things for me and lifted a huge burden!!

  • @richardbroder4784
    @richardbroder4784 2 года назад +11

    Dave - all I have to say is THANK YOU SO MUCH. This video was extremely helpful in developing my understanding of the substitution rule

  • @ameliab7753
    @ameliab7753 3 года назад +11

    I stan this man and will forever thank him for existing i can already feel my calculus 2 grade rising

  • @ioX7y3JHlCdtAiE
    @ioX7y3JHlCdtAiE 2 месяца назад +1

    2:02 this is what i needed to know, the teacher i was watching was explaining it so weirdly.

  • @TheBrammiej
    @TheBrammiej 6 лет назад +21

    This actually helped me a lot! Thanks!

  • @shreeshkulkarni6953
    @shreeshkulkarni6953 4 года назад +2

    Professor Dave is my gratest teacher ever I have seen.I love your teaching methods

  • @kw_2707
    @kw_2707 Год назад +1

    I FINALLY GET IT!!!! I have a test tomorrow morning and substitution was the only thing I couldn't grasp. That passing grade's in the pocket for sure

    • @kw_2707
      @kw_2707 Год назад

      Thank you so much Dave!!! I got a 100%!!

  • @erikaespina
    @erikaespina Год назад

    THANK YOU THANK YOU THANK YOU‼️‼️‼️‼️ i cant believe that all of my questions abt the substitution rule have been answered with a short, 10 minute video!!! THANK YOU‼️‼️‼️

  • @firewarrior9999
    @firewarrior9999 Год назад +3

    I needed someone to explain this to me like I was a child.

  • @umamarajput456
    @umamarajput456 8 месяцев назад

    Your way of explanation made things pretty much easier

  • @CloroxBleach-rr8gr
    @CloroxBleach-rr8gr 3 года назад +8

    This guy is genuinely better than organic chemistry tutor. Things are always so clear and straight to the point.

  • @adityaram6845
    @adityaram6845 3 года назад

    The best teacher on RUclips.

  • @daaaaniiiiii
    @daaaaniiiiii 2 года назад +2

    gotta love professor Dave, finally understood the concept after a WEEK of working on this!! gotta love him :D

  • @nelsonk1341
    @nelsonk1341 3 года назад

    谢谢!

  • @samcoopermusic
    @samcoopermusic 4 года назад +14

    Dear Dr. Dave, I would hereby like to submit a humble request for your consideration of the production of an additional calculus video, U-Substitution of Definite Integrals. There's some extra thinking involved, and I would love to see your 5-10 minute take on it. Thanks for all the amazingly helpful content!

  • @hamzaalaudi1184
    @hamzaalaudi1184 3 года назад +1

    God bless you professor Dave, you are saving lives out here, emotional lives that is

  • @nikedanmechatronicsengnr845
    @nikedanmechatronicsengnr845 4 года назад

    Another best teacher across the world is our respected sir dave. Sir i am from india and still my all my country mates watch ur chnnl to ace science.

  • @dejanaymay7128
    @dejanaymay7128 Месяц назад

    You can further simplify -ln|u| + c using the principles of natural logs therefore, it would be ln|u^-1| + c
    Which is the same as ln|1/u| +c
    Now substitute cos(x) for u: ln|1/cosx|+c
    Using trig, we know that 1/cos(x) = sec(x)
    Hence why the anti derivative of tan(x) = ln|sec(x)| + c

  • @agepallysaiteja
    @agepallysaiteja 3 года назад +1

    You saved my life.Thanks that you are born.

  • @ivoryas1696
    @ivoryas1696 2 года назад

    I'm sorry, I know this is said often but... holy cow. This man is up here explaining things that, a year ago, I would have understood about as well as Einstein's Field equations and yet I'm understanding it. The crazy thing is that even though it still sounds nerdy af (which is something I always used to appreciate, but wasn't really able to properly replicate due to a lack of understanding), it's not just going in one ear and out the other.
    Now I'm not gonna say that it's solely Dave or even just solely RUclips, but between last year and this year I went from failing at properly comprehending Pre-calc class to sucking in information on Calculus and planning on taking an exam to skip taking the first class all together, and I feel like it wouldn't be possible at *_nearly_* the speed it happened without RUclips and Dave more than many. I could even say even Khan Academy hasn't helped as much.
    Thank you, Professor Dave. I first came here for anti-conspiracy content... but I subbed for this.

  • @thebeast1383
    @thebeast1383 2 года назад

    math with this guy is on another level

  • @_56trapped32_
    @_56trapped32_ 7 месяцев назад

    Sir you don't even know how much of a headache and heartache you saved me from ❤️ 😭

  • @Kiky_MedPhysicist
    @Kiky_MedPhysicist 5 месяцев назад

    Thank you sir for your dedication and for making this free! 🙏

  • @ave1687
    @ave1687 Год назад

    I finally understand my lesson in calculus. Thank you!

  • @luyandamiddleton2069
    @luyandamiddleton2069 6 месяцев назад

    thanks Dave. I am preparing for my final exam for one of the hardest math courses!!! tnx

  • @Yiranecho
    @Yiranecho Месяц назад

    Finally understand !!! Thank you so much!

  • @nishadiitjee
    @nishadiitjee 2 месяца назад

    Thank you sir for this simple and best explanation on this topic.❤

  • @SamArunothayan
    @SamArunothayan 6 месяцев назад +1

    Thank you professor

  • @musayaO.o
    @musayaO.o 2 месяца назад

    Thank you Professor Dave

  • @BOBO_4869
    @BOBO_4869 3 месяца назад +1

    Thanks a lot! My teacher just put up a formula of it and told us to memorise lol

  • @awesomecraftstudio
    @awesomecraftstudio Месяц назад

    Who knew that a chemist would be saving my math homework.

  • @mountainking1166
    @mountainking1166 3 года назад +1

    Thanks! I came for help with organic chemistry and stayed for the calculus help.

  • @faithsmith158
    @faithsmith158 4 года назад +16

    Do you have any advice for me learning calculus like in the video? I’m in high school and not doing too well :( . It’s hard for me as I have to juggle many subjects.

    • @ProfessorDaveExplains
      @ProfessorDaveExplains  4 года назад +19

      Just start at the beginning of the calculus playlist and work your way through?

    • @entertainmentts4090
      @entertainmentts4090 3 года назад

      ruclips.net/video/SbP3_d15yFc/видео.html

  • @kate5406
    @kate5406 3 года назад

    finally a video that explains this well.

  • @malasinha6144
    @malasinha6144 6 лет назад +2

    Thanks prof. Dave

  • @ajlpz
    @ajlpz 3 года назад +1

    Thank you Prof Dave!

  • @ethErcat-n3i
    @ethErcat-n3i 9 месяцев назад

    professor dave explains is so cool

  • @kamy724
    @kamy724 10 месяцев назад

    I needed this like 3 years ago

    • @another7920
      @another7920 10 месяцев назад

      It's not too late to learn now

  • @daralla3272
    @daralla3272 Год назад

    simple and easy steps to understand thanks Man

  • @AlejandroDelaTorre-hd2lq
    @AlejandroDelaTorre-hd2lq Год назад +4

    Thank you Math Jesus

  • @yeehaw5351
    @yeehaw5351 2 года назад +2

    I'm totally using that smiley face variable on my next exam

  • @RahatKhanBandhon
    @RahatKhanBandhon Год назад

    Thanks a lot professor ❤❤ love from Bangladesh

  • @jannickharambe8550
    @jannickharambe8550 3 месяца назад

    Thank you prof. dave!

  • @aselim20.
    @aselim20. Год назад +1

    I watched third time and I took notes.

  • @punditgi
    @punditgi 3 года назад +4

    What is the video in this series that is where Dave justifies the splitting of dx from d/dx to be able to "multiply" the integrand by dx to get 2x dx = du?

  • @drvir
    @drvir 6 лет назад +5

    Thanks a lot!

  • @ayushnirankari7304
    @ayushnirankari7304 7 месяцев назад

    He teachers so cool man thanks!!

  • @painnagato1825
    @painnagato1825 2 года назад

    Thanks a lot sir, after long time of learning I've understood by yuor explanation

  • @aarya_dils
    @aarya_dils 2 года назад +1

    Thankyou❤️

  • @vinzusdergraf8581
    @vinzusdergraf8581 3 года назад +1

    Professor Dave, please can you start a series on DIFFERENTIAL EQUATIONS?? Pleeeeaasseee??

  • @EugenMarianPopescu
    @EugenMarianPopescu 5 лет назад +1

    What have I been doing in high school? I didn't learn anything back then. Now, I understand everything. Where were you Professor Dave when I needed you?

  • @danielrosen4496
    @danielrosen4496 2 года назад

    Thank U, Prof. Dave.

  • @MarioManiac81
    @MarioManiac81 9 месяцев назад

    9:43 The answers are in order: ln|x^2+3x| + C and -cos(ln x).

    • @ak_oneoneone
      @ak_oneoneone 8 месяцев назад

      why is there a minus beside the cos?

    • @MarioManiac81
      @MarioManiac81 8 месяцев назад +2

      ⁠@@ak_oneoneoneBecause the derivative of cos is negative sin.

    • @ak_oneoneone
      @ak_oneoneone 8 месяцев назад

      @@MarioManiac81 ohh yah that makessenss

  • @razasyed575
    @razasyed575 3 года назад

    an amazing explanation brother

  • @priyank5161
    @priyank5161 7 месяцев назад

    I watched a 30 min long video on yt... Not gonna take his name... And I was completely lost
    I couldn't understand a shit
    And then i stumbled upon ur video... Seriously everything is easy now... A bad teacher can make u feel dumb.. really
    Thanks dude for telling me the correct path when I got lost with that random youtuber

  • @DrakeRing
    @DrakeRing 3 года назад +1

    Thanks a lot

  • @ronanshiroshi6920
    @ronanshiroshi6920 6 лет назад +10

    Very amazing technique that can be shared to my classmates 🤗

    • @ALixKilleR0
      @ALixKilleR0 6 лет назад +2

      how do you spend your day ?

    • @ronanshiroshi6920
      @ronanshiroshi6920 6 лет назад +2

      I'm spending my days this summer self studying in advance for the nxt school year

  • @shonaru2223
    @shonaru2223 5 лет назад +3

    Thanks very much Prof. Dave!
    For helping me to understand it more.

  • @nicholasdingle6805
    @nicholasdingle6805 2 года назад

    I love you professor Dave

  • @nwaosman6785
    @nwaosman6785 2 года назад

    Thank you best professor 🥰

  • @k.g.vishal6690
    @k.g.vishal6690 Год назад +2

    Love From INDIA❤🇮🇳‼️

  • @seanrhettzamaylanatividad6213
    @seanrhettzamaylanatividad6213 3 года назад +2

    shoutout sa mga pinoy dito HAHAAHA thank you sir dave!

  • @niha1398
    @niha1398 29 дней назад

    you are great sir
    it is really great
    Thank you so much

  • @jericholegend447
    @jericholegend447 5 лет назад +1

    Thanks sir!

  • @ave1687
    @ave1687 6 месяцев назад

    I always go back to this video whenever I can't remember how to do u substitution. It's been almost a year already

  • @sahilraj9554
    @sahilraj9554 5 лет назад +1

    thank you sir

  • @Attalla-t9b
    @Attalla-t9b 11 месяцев назад +1

    8:27 Shouldn't the minus sign become plus for the left part of equation, if we add it to both sides?

  • @mehrabanbradosti1888
    @mehrabanbradosti1888 Год назад

    you are intelligent thank youuuuu

  • @RishiKtr_IITMandi
    @RishiKtr_IITMandi 4 года назад

    You are doing a great job...keep it up

  • @alkasantosh9012
    @alkasantosh9012 3 года назад

    Thanks sir
    It helped a lot

  • @yungmaz13
    @yungmaz13 4 года назад +2

    Is the point in the substitution rule to simplify the equation? Cause if so i dont really see it it just makes everything more complicated than it already was. Either way, great video 👍👍

  • @wilfu2050
    @wilfu2050 3 года назад +1

    Unajua mwanangu // awesome 👌

  • @The_Bad_Ant
    @The_Bad_Ant 3 года назад

    Thanks a bunch 💐🙏

  • @OppyOzzborz-sb8oz
    @OppyOzzborz-sb8oz Месяц назад

    chain rule in reverse thats just what i thought of right before you said it 4:15

  • @priyalsampath7192
    @priyalsampath7192 3 года назад

    thank you

  • @Felix-uw8nv
    @Felix-uw8nv 6 лет назад +1

    Thank you!

  • @aelafanteneh2767
    @aelafanteneh2767 2 года назад

    Thanks a lot brother

  • @srividyaraja1454
    @srividyaraja1454 5 лет назад +1

    It helped me

  • @Annniii2014
    @Annniii2014 2 месяца назад

    Professor dave ki jai ho 🙏🙏🙏😇😇🎉🎉

  • @cristinageorgescu8137
    @cristinageorgescu8137 Год назад

    Thank you😊👍

  • @mutaharamasiatmohona2946
    @mutaharamasiatmohona2946 4 года назад

    Thank you so much 🥰 that was very helpful 😊

  • @taimoormanzoor7386
    @taimoormanzoor7386 3 года назад

    He is simply explaining the hard thing and God bless you.

  • @addisufiapostolicgeneratio2093

    Thanks

  • @Dcoooooooookkkkooo1
    @Dcoooooooookkkkooo1 10 месяцев назад +2

    Calculus is life

  • @ehatipo4598
    @ehatipo4598 4 года назад +1

    Thank you sir! :)

  • @-miracle-
    @-miracle- Год назад +1

    3:09 😂😂😂 🙂

  • @joelvarela7785
    @joelvarela7785 5 лет назад +2

    Thanks professor, now calculus seems reasonable, greetings from Mexico

  • @johnchang1226
    @johnchang1226 Год назад

    Thanks very much.

  • @Asifkhan-zx7wi
    @Asifkhan-zx7wi 5 месяцев назад

    this is the best way to learn mats

  • @ankitaaarya
    @ankitaaarya 5 лет назад +1

    2:15 where did you justified ehy its possible??????????????????????

  • @horizonbrave1533
    @horizonbrave1533 5 лет назад +5

    Hey so is it possible if you have an extremely long polynomial, that you can use the Subsitution method in two places in the polynomial at once? So if you had like two sets of parenthesis in a long poloynomial, could you substitute one for U and another for Y (random variable), and then do this method for these two different substitutions at the same time?