How To Integrate Using U-Substitution

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  • Опубликовано: 23 ноя 2024

Комментарии • 1 тыс.

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  3 года назад +254

    Integration - Free Formula Sheet: bit.ly/3XCT6oz
    Full 1 Hour 14 Minute Video: www.patreon.com/MathScienceTutor
    Direct Link to The Full Video: bit.ly/3BsnALS

    • @theorist353
      @theorist353 2 года назад +3

      How to get your full video for free ??

    • @mechanicalkiller1061
      @mechanicalkiller1061 2 года назад +17

      @@theorist353 you can't it is paid content

    • @platysmemes7663
      @platysmemes7663 2 года назад +1

      @@mechanicalkiller1061 yes

    • @Fred790
      @Fred790 2 года назад

      We would be lost

    • @jabbathehut1871
      @jabbathehut1871 2 года назад

      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 года назад +1832

    You are a very comprehensive speaker. Calculus is hard when you don't understand. But the way you presented it was just so magical that everything you discuss, I get it immediately. I can watch minutes of your videos learning much than reading calculus books for hours with zero learning progress.

    • @inzaghi9312
      @inzaghi9312 3 года назад +5

      Completely agree!

    • @ibrahimseid8032
      @ibrahimseid8032 3 года назад +6

      That's right

    • @3110-l6n
      @3110-l6n 3 года назад +26

      Books are very helpful as reference but this guy helps you to actually learn.

    • @aboodek.m6774
      @aboodek.m6774 2 года назад

      Although I am an Arab, this person has lost me more than my teachers in the university..

    • @biphysimath-special3231
      @biphysimath-special3231 2 года назад

      I recommend You this video ruclips.net/video/JLxpaOnWSYk/видео.html

  • @benjamintoledo5043
    @benjamintoledo5043 3 года назад +6251

    Imagine a world without this man 😂

  • @johnnymercer7467
    @johnnymercer7467 7 месяцев назад +267

    5 years ago, I was watching this video because I was barely passing Calculus.
    This 2024, somehow, I became a Mechanical Engineer. Thank you for the helpful lessons. Don't want to overreact, but this channel is one of the reasons why I have a license.

    • @JustRealAsf
      @JustRealAsf 6 месяцев назад +2

      Give me tips bro.. 😢

    • @Amilla18
      @Amilla18 5 месяцев назад +9

      @@JustRealAsf Most important is to make sure you get good sleep, drink more water, and stay relaxed

    • @overlord3481
      @overlord3481 5 месяцев назад +14

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

    • @programmingkitten1326
      @programmingkitten1326 5 месяцев назад +6

      This vid is 3y old tho

    • @JohnDoe-np7do
      @JohnDoe-np7do 3 месяца назад +2

      ​​@@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.

  • @grimgracious
    @grimgracious 3 года назад +494

    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 2 года назад +2

      did ur prof never teach implicit differentiation?

    • @WizardJose
      @WizardJose 7 месяцев назад

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

    • @bbseal6174
      @bbseal6174 25 дней назад

      @@WizardJose idiot !

    • @skyset_
      @skyset_ 2 дня назад

      @@WizardJose 😭

  • @nuclearoach
    @nuclearoach 3 года назад +1024

    Your channel is the only channel where I don't skip the ads since it's the only way for me to support you as a student. Thank you for your tutorials! You've saved us students a lot of times :)

    • @lebohangjele3911
      @lebohangjele3911 3 года назад +51

      I didn't know that letting the ads play actually contribute to him I'll never skip them again as well he deserves it, Thanks!

    • @nihilisticalbino
      @nihilisticalbino 3 года назад +84

      @@lebohangjele3911 If the ad is thirty seconds or less, watching the whole ad will earn the RUclipsr more money, but if the ad is longer than thirty seconds, you are not earning the RUclipsr any additional revenue after that first thirty seconds

    • @kaanyldrm9983
      @kaanyldrm9983 2 года назад +38

      This is literallly the biggest compliment a yt channel can get :D

    • @kythemervenfrancisco3636
      @kythemervenfrancisco3636 2 года назад +4

      a true chad

    • @joeyenniss9099
      @joeyenniss9099 Год назад +8

      they get paid a lot more for premium views than ads, so if you get youtube red you actually help them more + no ads + youtube music. Worth the 10$ a month imo but i use youtube constantly

  • @anniemonroe9285
    @anniemonroe9285 2 года назад +181

    I know you hear this all the time and probably never read these comments because there's so many, but you were literally BORN to teach. You are living out your true calling and its amazing to watch. You've made hundreds of thousands, (maybe even a million) peoples lives BETTER than they were before, and you did this without ever meeting them! It feels crazy. not to say thank you!

  • @razoredge8284
    @razoredge8284 3 года назад +625

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

    • @strixpanahu1420
      @strixpanahu1420 3 года назад +7

      100% same!

    • @charlest2858
      @charlest2858 3 года назад +7

      Did you pass?

    • @razoredge8284
      @razoredge8284 3 года назад +30

      @@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 года назад +1

      Hopefully it worked fine?

    • @dionel1388
      @dionel1388 3 года назад

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

  • @mystellix4426
    @mystellix4426 3 года назад +189

    in my years of college experience I have found two undeniable facts.. The first is that you never miss the first week of college, whether you have classes or not, the free stuff is worth waking up for. The second is that I would not have passed any of math and science classes, had it not been for this mans dedication, and on behalf of my fellow peers I want to say thank you

  • @jamesthompson424
    @jamesthompson424 3 года назад +431

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

  • @joelrael9728
    @joelrael9728 3 года назад +226

    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 года назад +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 Год назад +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.

  • @zoewerner6187
    @zoewerner6187 2 года назад +17

    I've been lost this whole year in math and buried in stress. This video gave me an outstanding feeling of relief. I finally feel like I can grasp the concept again which I haven't felt in a long time. From the bottom of my heart, thank you.

  • @doiturself..g.o.a.t3508
    @doiturself..g.o.a.t3508 2 года назад +33

    This channel has literally saved me from many supplementary and retakes.... You deserve the tution fee my professors take each trimester.... Men your a life saver ... Thanks a lot graduating in 4 months

  • @wrjazziel
    @wrjazziel 3 года назад +14

    This man does more good than all of those RUclipsrs out there making speeches about improving your life... this fellow make a real contribution to society!... Bravo my man, wherever you are.

  • @oldmandave6039
    @oldmandave6039 Год назад +7

    I'm literally struggling to understand this concept using the text book, but after watching this video in the first 2 mins, it's now crystal clear to me

  • @user-zu5ew8jv5x
    @user-zu5ew8jv5x Год назад +7

    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

  • @sagacious_Codyt
    @sagacious_Codyt 3 года назад +14

    I have learnt so much from him..I no longer care about missing lectures,this man right here,,always has my back..
    I'm forever indebted

  • @Popasger
    @Popasger 10 месяцев назад +3

    As to my knowledge you are one of the primary mentors of math problem solving in MSc, Copenhagen University. Pretty much everyone I know, including myself throughout the campus, watch your videos if they have difficulties in different subjects regarding math. Huge thanks from Denmark, Copenhagen University (MSc).

  • @molimavutu3736
    @molimavutu3736 Месяц назад +2

    Helped me out in High school and still helping me now in Calc 2 in University. You're the Goat.

  • @spicymustard98
    @spicymustard98 2 года назад +10

    this man will help me pass my calc final! Practice many problems read the textbook brush up on algebra, geometry, and trig and u will pass!

  • @lilwrighto7793
    @lilwrighto7793 2 года назад +10

    As someone that decided to go back to college after 17 years(after flunking out my first year), these videos have helped me understand math that I have never learned before. It’s a good thing, since I decided to go for an Aerospace Engineering degree.

    • @EldenEngineer
      @EldenEngineer Год назад

      How is it going so far? Hopefully well. I'm a comrade in arms as a late math learner back at university to study engineering.

  • @nostalgiacademy7378
    @nostalgiacademy7378 2 года назад +5

    On a very long journey to understanding integrals in Calculus II. Starting with the fundamentals and working my way up, this man is a lifesaver for sure.

  • @Tropikha
    @Tropikha 6 месяцев назад +6

    Less than 2 minutes into the video I'm already familiar with everything... this man is a king

  • @Prince-nb2dd
    @Prince-nb2dd 11 месяцев назад +51

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

    • @normalPPL120
      @normalPPL120 5 месяцев назад

      Dayum

    • @Wou1012-t7e
      @Wou1012-t7e 20 дней назад

      @@Prince-nb2dd you just wanted to flex huh

  • @Jeremyduru14
    @Jeremyduru14 2 месяца назад +2

    Thank you so much🙏 😭😭 struggling through Calculus 2 because of professor accent but this video made it so easy❤

  • @shyaamsundar2262
    @shyaamsundar2262 3 года назад +15

    U r really a good teacher. I'm self learning calculus and all ur videos about calculs are very useful. Thankyou ❤️❤️❤️

  • @MbabaziNorbert-c3c
    @MbabaziNorbert-c3c 4 месяца назад +2

    bro your methodology is my type . seriously i thank you for your effort to make learners like me understand complex academic staffs and make it easy to us.keep it up

  • @hestoncampbell6183
    @hestoncampbell6183 3 года назад +43

    Final is tomorrow and this is the biggest area I am concerned about. Thanks JG.

    • @ARTDEVGRU247
      @ARTDEVGRU247 3 года назад +5

      Final in 10 hours. Pray for me. lol

    • @jaybheart9767
      @jaybheart9767 3 года назад +4

      Finals in 1 hour please have prayer meeting

    • @rody3199
      @rody3199 3 года назад +2

      @@jaybheart9767 how was it?

    • @tsanari
      @tsanari 2 года назад

      Finals in 10 minutes AAAAAAaa

  • @rubasalim1437
    @rubasalim1437 6 месяцев назад +1

    I really struggled with my teacher his explanation was so bad but u laterally make it easy for me I’m so grateful about that

  • @jeyanlacson2732
    @jeyanlacson2732 2 года назад +4

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

  • @chocolatechip2641
    @chocolatechip2641 4 месяца назад +2

    This was the last part of my exam and i totally forgot how to do it. Thank you, you're a life saver!!

  • @mechanicalkiller1061
    @mechanicalkiller1061 2 года назад +4

    I watch this method a lot, first, I watched it for Calculus II in Nov. 2019, then I watch it to revise Calculus II material for Calculus III in Jan.2022. " There was a long video that contain many methods".
    And now I am watching it at speed of x1.5 to review this method for MATH 333 - Methods of Applied Mathematics I , the last math course for a bachelor's degree in Mechanical Engineering at KFUPM.
    Many thanks to the LEGEND " Organic Chemistry " for supporting me in MATH, Physics, and Chemistry from 2018 until now.
    17 June 2022 - Summer Term 213

  • @GloriaIdoko-q7d
    @GloriaIdoko-q7d 7 месяцев назад +1

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

  • @ValentineChinedum-zk9up
    @ValentineChinedum-zk9up Год назад +3

    Your ability to explain all these without making a single mistake is still a wonder to me🎉

  • @kiamin3154
    @kiamin3154 11 месяцев назад +1

    In the first two minutes of your video I understood how to do it. Fantastic video. I couldn't figure it out with a whole lecture plus reviewing the prof's slides for 30+ min.

  • @-8l-924
    @-8l-924 3 года назад +5

    thank you so much - I’ve been staring at a problem for a while, with complex formal language as a guide to solve the problem - and getting nowhere in my comprehension. I’m 5 minutes into this video, and I just ran the problem and got the correct answer like nothing.

  • @Dahm-id7tx
    @Dahm-id7tx Год назад +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 :)

  • @secs3
    @secs3 Год назад +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

  • @ernieumass
    @ernieumass Год назад +2

    WOW! I learned how to use U substitution in engineering school 13 years ago, but I didn't really understand the "why" of it until watching this! I had forgotten how to do it, but that's just because I didn't understand the principal, and was operating on rote memory.

  • @Mik-hw8sp
    @Mik-hw8sp Год назад +1

    this is so good tysm, it's always annoying how some books and vids only give the easiest examples so you don't know what to do for the harder questions, but this vid covered like everything even the kinds of questions that are special cases. actual lifesaver rn

  • @trnphantom2586
    @trnphantom2586 3 года назад +7

    This man is an absolute legend, saved my grades so many times and I'm only in my 3rd semester!

  • @PanDit-w7x
    @PanDit-w7x 3 месяца назад +2

    Bro started in the name of organic chemistry and did for every subjects ❤❤
    I still remember those 1 night before exam when this channel was only the way to make passing marks😂
    Huge RESPECT 👏

  • @IdleHawk7
    @IdleHawk7 Год назад +3

    You're making my last semester of calculus so much more manageable

  • @AubreyElmari
    @AubreyElmari Год назад +1

    The way this guy the concept of integration is wow .I thought I would not understand this topic but finding this video helped me a lot I want to say thank you.

  • @amandatena4612
    @amandatena4612 3 года назад +3

    this is a good brain refresher for me for differential equations... you're a life saver... THANK YOU

  • @shyaamsundar2262
    @shyaamsundar2262 3 года назад +3

    U r also teaching clearly,calm and soft . I like ur style of teaching ❤️❤️❤️

  • @hello-zh3jr
    @hello-zh3jr 17 дней назад

    You helped me starting all the way back from when I was in algebra 1. I know you won't see this but I wanted to say thank you. You helped me get to calculus in my junior year of high school.

  • @lummildred9081
    @lummildred9081 3 года назад +5

    I'm taking calculus just because of your amazing videos, thanks very very much sir.

  • @OscarNotman
    @OscarNotman Год назад +2

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

  • @georgesadler7830
    @georgesadler7830 2 года назад +3

    Professor Organic Chemistry Tutor, thank you for a well-prepared video/lecture on How to Integrate Using U-Substitution in Calculus One, Two, Three, Differential Equations and beyond. Basic Integration is simple to follow and understand in Calculus. Pattern recognition also helps with learning this material. This is an error free video/lecture on RUclips TV with the Organic Chemistry Tutor.

  • @Polinki-b8x
    @Polinki-b8x Месяц назад

    I have used this video like 10 times in my whole life (which for me is a lot), this person is doing what the internet was made for

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    @Spunky_clare 3 года назад +3

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  • @sssilky3317
    @sssilky3317 2 года назад +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.

  • @Brain_With_Limbs
    @Brain_With_Limbs 3 года назад +5

    Thank you, You're helping me study for my Calculus 2 test!

  • @pavlopavlovskiy4771
    @pavlopavlovskiy4771 10 месяцев назад

    Saved me multiple times. Did not understand this at all from lectures and mildly from textbook. Your explanations are just amazing!

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    @emmacollins9974 3 года назад +8

    your timing could not have been more perfect!

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    @sanjilathapa2756 3 месяца назад +2

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    @sachinprabhuram5765 3 года назад +8

    Needed this exactly today and you dropped this I love you

  • @johnpowers1336
    @johnpowers1336 2 года назад +2

    Thank you for this video. After multiple videos, I still didn't understand this concept. But within 2 minutes of watching this, I felt more confident.

  • @angusmackintosh5907
    @angusmackintosh5907 3 года назад +53

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    @yog2155 Год назад

    Why is this mans voice so much easier to follow even in the most complicated steps. Much love

  • @crispypretzelchickenfries
    @crispypretzelchickenfries Год назад +55

    Thank you so much for this video. I just spent weeks trying to learn this in school and this is the only video that finally made it make sense for me. Here’s to (hopefully) scoring higher than a D on my next integration quiz :)

  • @atsushinakajima9379
    @atsushinakajima9379 11 дней назад

    bro , I swear to god, ur way of teaching is easier to understand and grasp than my prof. Thank you very much for this vid!

  • @insanefanatic
    @insanefanatic 3 года назад +28

    Exactly what I needed

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    @jasonzaelit7739 2 месяца назад

    studying for a calc midterm and your videos are exactly what i need to refresh my knowledge, youre the goat

  • @sobiyeolufemi1230
    @sobiyeolufemi1230 3 года назад +4

    You've helped my understanding exponentially. Thanks so much

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    @potatoshrimpowo3130 8 месяцев назад

    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!

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    @brizeydamartinez1803 2 года назад +3

    I didn't attend lecture, but I'm going to get a 10/10 regardless, thx to this man

  • @cappymons8191
    @cappymons8191 Год назад +1

    Im studying for my boards in ME and thank you for saving my integral topics.

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    @abbyvaldeznava146 3 года назад +5

    You are awesome dude!! I literally have quiz on this tomorrow and your videos always help me better understand these lessons!

  • @maxpaynexl
    @maxpaynexl 6 месяцев назад +1

    Bro never stop doing this, you make calc seem so easy

  • @bltoliver13
    @bltoliver13 3 года назад +3

    Thanks so much! I was just learning this a few days ago and wished you had a video on it. Still uploaded it in time for the test!

  • @kenedi987
    @kenedi987 11 месяцев назад +1

    Thanks a lot, I was having trouble grasping the concept but watching through this video a few times helped me get on track. you are a life saver!

  • @michaelterrell5061
    @michaelterrell5061 3 года назад +10

    Thank you for this. Calculus is always interesting and it’ll be nice to know what I’m in for next year when I get to high school.

    • @keeja760
      @keeja760 3 года назад +4

      You're telling me you're watching this in advance? Lucky you, I'm watching this an hour before my exam...

    • @taylorprince2348
      @taylorprince2348 2 года назад +1

      @@keeja760 FRRR im teaching myself cause my prof explained it so bad. atleast 3 days before but i feel the hour before. last midterm i taught myself basic integrals 1 hour before

  • @exotickhanaarif4333
    @exotickhanaarif4333 Год назад +1

    This guy has a special ability of making an extremely complicated topic look really easy!!

  • @beautifulloser8074
    @beautifulloser8074 3 года назад +5

    I’m actually doing this for calculus. This vid helps a lot

  • @brian.6822
    @brian.6822 7 месяцев назад +1

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  • @jasminrivera3513
    @jasminrivera3513 3 года назад +3

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    @SkullEZClap 3 года назад +2

    Man... I kid you not, I pay soo much money to take class in a college but you teach this stuff 10 times better AND for free.....

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    @ty6512 3 года назад +7

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  • @roderfanchepkwony-hs1sz
    @roderfanchepkwony-hs1sz Год назад +1

    Indeed you are amazing I prefer watching your vedioes rather than reading the whole book oo calculus 🎉❤

  • @incognito6751
    @incognito6751 3 года назад +7

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

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    @goranjohnson4093 Год назад +12

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    @Sport6000 Год назад +1

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  • @Martyr217
    @Martyr217 3 года назад +4

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    @boyar3033 Год назад +1

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  • @craig7878
    @craig7878 2 года назад +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?

  • @liyuanyan5170
    @liyuanyan5170 3 года назад +1

    watch too many videos, only this man explains clearly. Thank you so much!

  • @mlucas68_13
    @mlucas68_13 2 года назад +4

    anyone watching this minutes before the calc exam? bc same

  • @jayne6288
    @jayne6288 Год назад +1

    the world would be in the end times without this man

  • @sardaraghayev6189
    @sardaraghayev6189 3 года назад +5

    Good luck 👍

  • @porterhancock2960
    @porterhancock2960 Год назад

    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

  • @amirassdino9958
    @amirassdino9958 3 года назад +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 :)

  • @elizahbanabas3413
    @elizahbanabas3413 6 месяцев назад +1

    This men deserves a noble price❤

  • @alley5911
    @alley5911 Год назад +1

    I just wanna say thank you for your channel, these videos have literally saved my ass this semester in all 4 of my classes (calc, trig, bio1/lab, chem1/lab)

  • @fiona_axolotl_imnida
    @fiona_axolotl_imnida Год назад +1

    Honestly, I don't think I can graduate highschool without this tutor. Thank you!

  • @zabiiaryan8325
    @zabiiaryan8325 3 года назад +1

    Who is this guy, when need help on a specific topic or when there is an exam approaching you to upload a video which resolves all the ambiguity. God bless. Can you say something about yourself as well. You are helping and helped us big time.

  • @anthony-rj4bl
    @anthony-rj4bl Год назад +1

    all through high school and now through college, thank you for the help!!!!!

  • @lubnanaser
    @lubnanaser Год назад +1

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

  • @Natangwe_Unam
    @Natangwe_Unam 2 года назад +1

    I’m writing my final for math tomorrow thanks for all the help throughout the years 👏🏿