How To Integrate Using U-Substitution

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  • Опубліковано 22 гру 2024

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  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  3 роки тому +260

    Integration - Free Formula Sheet: bit.ly/3XCT6oz
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    • @theorist353
      @theorist353 3 роки тому +4

      How to get your full video for free ??

    • @mechanicalkiller1061
      @mechanicalkiller1061 2 роки тому +17

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      @platysmemes7663 2 роки тому +1

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    • @Fred790
      @Fred790 2 роки тому

      We would be lost

    • @jabbathehut1871
      @jabbathehut1871 2 роки тому

      What is dx for? Why? Why is it always at the end of the notation?
      It stands for derivative of x, right? So X is a derivative? Is there a video for the notation, and the difference between definite and indefinite integrals? Without that, I'm going to be stumped for most of the time.

  • @casapaoaldrinb.8077
    @casapaoaldrinb.8077 3 роки тому +1936

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      @biphysimath-special3231 2 роки тому

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    @benjamintoledo5043 3 роки тому +6505

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  • @johnnymercer7467
    @johnnymercer7467 8 місяців тому +355

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    • @overlord3481
      @overlord3481 6 місяців тому +18

      Mechanical engineer licence lol. All those years spent learning calculus, only to never use them in real job.

    • @programmingkitten1326
      @programmingkitten1326 6 місяців тому +8

      This vid is 3y old tho

    • @JohnDoe-np7do
      @JohnDoe-np7do 4 місяці тому +3

      ​​@@overlord3481 yeah lol studying CS hahaha its pretty useless practically (especially for programming) only useful math is probably stats & algebra and basic arithmetic, apart from that ppl are just stroking their own egos doing this kinda of "math" fuck newton.

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  • @grimgracious
    @grimgracious 3 роки тому +515

    Bro I just watched the entire recording of my professor solving multiple problems for this and all it took was this video to help me understand wtf he was doing during the whole du=dx step. He teaches like we already know the concepts and it's so frustrating. Love this guy's videos. Comprehensive, easy to follow, and he explains what he does each step! You deserve my tuition money more than they do.

    • @ElHal04
      @ElHal04 3 роки тому +2

      did ur prof never teach implicit differentiation?

    • @WizardJose
      @WizardJose 8 місяців тому

      @@ElHal04 me personally I skipped differentiation as a whole and jumped to integration

    • @bbseal6174
      @bbseal6174 Місяць тому

      @@WizardJose idiot !

    • @skyset_
      @skyset_ Місяць тому

      @@WizardJose 😭

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      @andrewjustin256 4 дні тому

      If I may ask how much do you pay for your tuition? And where are you from?

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    I HAVE A CALCULUS TEST TODAY AND YOU UPLOAD THIS TODAY ACTUAL LEGEND

    • @strixpanahu1420
      @strixpanahu1420 3 роки тому +7

      100% same!

    • @charlest2858
      @charlest2858 3 роки тому +7

      Did you pass?

    • @razoredge8284
      @razoredge8284 3 роки тому +32

      @@charlest2858 yep :) 89% is better than I expected for an IB calc test which I had like 30 mins to study lol

    • @silentintegrals9104
      @silentintegrals9104 3 роки тому +1

      Hopefully it worked fine?

    • @dionel1388
      @dionel1388 3 роки тому

      Help I don't understand.
      (3x⁵-2x³+5x²-2)/x³+1 dx

  • @anniemonroe9285
    @anniemonroe9285 2 роки тому +194

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  • @jamesthompson424
    @jamesthompson424 3 роки тому +433

    Literal lifesaver. Haven't done integrals in years and you made me feel like I understand this stuff again in 20 minutes.

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    @mystellix4426 3 роки тому +197

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  • @joelrael9728
    @joelrael9728 3 роки тому +228

    you gave me a big "click" moment. it all seemed so hard, and I was missing some gaps in my lectures. My instructor never solved for dx, and I wondered how he magically transformed the expression. Thank you for existing, and thank you for sharing what you share. I wish to be in a stable financial situation to support the work you do , so that other students may feel the clarity I feel right now.

    • @levipicard7685
      @levipicard7685 2 роки тому +8

      one of my favorite things about my current calc professor is that he solves for dX, but says we can skip that step if we're comfortable with it. actual lifesaver of a professor.

    • @jessewalker9472
      @jessewalker9472 Рік тому +5

      This is exactly why I searched u substitution videos. I could get the right answer but never knew why things like the dx and other terms magically disappeared. Solving for dx explains it perfectly.

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    @doiturself..g.o.a.t3508 2 роки тому +35

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  • @user-zu5ew8jv5x
    @user-zu5ew8jv5x Рік тому +8

    I understand U-susbtution in just 7 minutes, I was strugguling whole 3 days, and I asked to my teacher multiple times, still struggeld, and this video, just solved all my question.
    This channel is GOAT

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    @sagacious_Codyt 3 роки тому +14

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    @Popasger 11 місяців тому +3

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    @oldmandave6039 Рік тому +7

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    @hestoncampbell6183 3 роки тому +43

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      @tsanari 2 роки тому

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    @Tropikha 7 місяців тому +6

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  • @sssilky3317
    @sssilky3317 2 роки тому +2

    stared at my textbook for hours trying to figure this out and it just wouldn't click, watched less that 3 minutes of this video and got it instantly. Nice Work mate.

  • @jeyanlacson2732
    @jeyanlacson2732 2 роки тому +4

    I went three whole years in calculus classes without knowing how to u-substitute -- this guy is a legend!!

  • @Dahm-id7tx
    @Dahm-id7tx Рік тому +2

    I litteraly was in depression when my teacher was explaining this during my lecture. Watched this video and im slaying all the problems from my book. Thank you man :)

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    @secs3 Рік тому +3

    idk how you manage to make the most difficult topics in class seem like 1+1 for me, thanks man, hope life is well

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    If it were not for you, I would not have graduated with a first-honor degree in mechanical engineering from an extremely difficult university.

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      @Wou1012-t7e Місяць тому +2

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    @MridulaK-r1i 13 днів тому +1

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    @shyaamsundar2262 3 роки тому +15

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    @MbabaziNorbert-c3c 5 місяців тому +2

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    @mechanicalkiller1061 2 роки тому +4

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    @JohnProkopuk 14 днів тому +1

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    @crispypretzelchickenfries 2 роки тому +55

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    @Martyr217 3 роки тому +4

    LMAO OMG, Looks like I'm going to have to look through the channel's library again. I haven't done this stuff in about 2 years now. :D

  • @lawrencekamusembe5080
    @lawrencekamusembe5080 3 місяці тому +2

    Have you ever imagined university life without the organic tutor????

  • @incognito6751
    @incognito6751 3 роки тому +7

    Ah, I remember watching the old 1 hour 14 minute video. RIP.

  • @AlexTikhonovich
    @AlexTikhonovich 7 днів тому

    This man explains calculus so good, that i was bored of it not of usual reason of just trying to survive till the end, but because it was so easy, and i almost immediately knew the answer. Wish all teachers were like him!!😎🤜

  • @craig7878
    @craig7878 2 роки тому +3

    Hi! I have a similar problem, however my x term outside of the root is x^2. And the x term under the root is of degree 1. Would i still take the same approach as you?

  • @potatoshrimpowo3130
    @potatoshrimpowo3130 9 місяців тому

    When my class finished Unit 7, did not know how to do anything and was convinced this is one of the units I would fail unless I studied hard. My teacher is a good teacher; I just don't pay attention as much as I should. So during the review days, I binged watched your videos and I want to thank you for your videos because I got a 92% on my last test!

  • @amirassdino9958
    @amirassdino9958 3 роки тому +8

    Hi, I found your video extremely helpful to me. So, I just wondering do you happen to compile all the written notes in a pdf file or something ? It would be very helpful if I could get my hands on a softcopy of your notes :)

  • @porterhancock2960
    @porterhancock2960 Рік тому

    My teacher has spent days trying to teach us and I now understand the topic after watching this for 2 minutes and 26 seconds. This is both a huge relief and infuriating because I spent all that money to listen to someone who has no idea what they’re doing

  • @sardaraghayev6189
    @sardaraghayev6189 3 роки тому +5

    Good luck 👍

  • @GloriaIdoko-q7d
    @GloriaIdoko-q7d 8 місяців тому +1

    Sir God bless you for saving people like me. I now understand integration better than I am taught in class.
    Thank you Sir

  • @goranjohnson4093
    @goranjohnson4093 2 роки тому +12

    you are my saviour, you helped me in many chem courses and lots of calc and math, love your videos and you are an excellent teacher

  • @mlucas68_13
    @mlucas68_13 2 роки тому +4

    anyone watching this minutes before the calc exam? bc same

  • @jinyaodesandies7179
    @jinyaodesandies7179 7 місяців тому

    Going through a breakup, but this tutorial is helping me survive the bad mood and still get work done. you are the best tutor I could ever afford.

  • @OscarNotman
    @OscarNotman 2 роки тому +2

    Calculus final tomorrow and I had no idea how to do these. THANK YOU

  • @lubnanaser
    @lubnanaser Рік тому +1

    absolutely thankful forever,you taught me more in 30mins than my teacher could ever do in 3months