How To Integrate Using U-Substitution

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The Organic Chemistry Tutor

The Organic Chemistry Tutor

3 жыл бұрын

This calculus video tutorial provides a basic introduction into u-substitution. It explains how to integrate using u-substitution. You need to determine which part of the function to set equal to the u variable and you to find the derivative of u to get du and solve for dx. After replacing all x variables with u variables, find the antiderivative of f(u) and substitute u in the new function with x variables. This video contains plenty of examples and practice problems of finding the indefinite integral using u-substitution. Examples include polynomial functions, trigonometric functions, exponential functions, square root functions, and rational functions.
Full 1 Hour 14 Minute Video:
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@TheOrganicChemistryTutor
@TheOrganicChemistryTutor 2 жыл бұрын
Full 1 Hour 14 Minute Video: www.patreon.com/MathScienceTutor Direct Link to The Full Video: bit.ly/3BsnALS
@theorist353
@theorist353 2 жыл бұрын
How to get your full video for free ??
@mechanicalkiller1061
@mechanicalkiller1061 2 жыл бұрын
@@theorist353 you can't it is paid content
@platysmemes7663
@platysmemes7663 2 жыл бұрын
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@Fred790
@Fred790 2 жыл бұрын
We would be lost
@jabbathehut1871
@jabbathehut1871 Жыл бұрын
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.
@benjamintoledo5043
@benjamintoledo5043 3 жыл бұрын
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@AnirudhPatki
@AnirudhPatki 3 жыл бұрын
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@platformofscience9790
@platformofscience9790 3 жыл бұрын
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@SanguineBlackBlood
@SanguineBlackBlood 3 жыл бұрын
I wouldn't care.
@KinomaroMakhosini
@KinomaroMakhosini 2 жыл бұрын
It's me with a C in calculus class
@SanguineBlackBlood
@SanguineBlackBlood 2 жыл бұрын
@@KinomaroMakhosini C's get degrees.
@casapaoaldrinb.8077
@casapaoaldrinb.8077 3 жыл бұрын
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 жыл бұрын
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@ibrahimseid8032
@ibrahimseid8032 3 жыл бұрын
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@user-lr6xc4jm1c
@user-lr6xc4jm1c 3 жыл бұрын
Books are very helpful as reference but this guy helps you to actually learn.
@aboodek.m6774
@aboodek.m6774 2 жыл бұрын
Although I am an Arab, this person has lost me more than my teachers in the university..
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@biphysimath-special3231 2 жыл бұрын
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@johnnymercer7467
@johnnymercer7467 3 ай бұрын
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 2 ай бұрын
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@Amilla18
@Amilla18 2 ай бұрын
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@overlord3481
@overlord3481 Ай бұрын
Mechanical engineer licence lol. All those years spent learning calculus, only to never use them in real job.
@programmingkitten1326
@programmingkitten1326 Ай бұрын
This vid is 3y old tho
@razoredge8284
@razoredge8284 3 жыл бұрын
I HAVE A CALCULUS TEST TODAY AND YOU UPLOAD THIS TODAY ACTUAL LEGEND
@strixpanahu1420
@strixpanahu1420 3 жыл бұрын
100% same!
@charlest2858
@charlest2858 3 жыл бұрын
Did you pass?
@razoredge8284
@razoredge8284 3 жыл бұрын
@@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 жыл бұрын
Hopefully it worked fine?
@dionel1388
@dionel1388 2 жыл бұрын
Help I don't understand. (3x⁵-2x³+5x²-2)/x³+1 dx
@nuclearoach
@nuclearoach 3 жыл бұрын
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 :)
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@lebohangjele3911 3 жыл бұрын
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@SpartanFunnyProyect 2 жыл бұрын
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@kaanyldrm9983 2 жыл бұрын
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@kythemervenfrancisco3636 Жыл бұрын
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@mystellix4426 2 жыл бұрын
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@grimgracious
@grimgracious 3 жыл бұрын
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 жыл бұрын
did ur prof never teach implicit differentiation?
@WizardJose
@WizardJose 4 ай бұрын
@@ElHal04 me personally I skipped differentiation as a whole and jumped to integration
@anniemonroe9285
@anniemonroe9285 2 жыл бұрын
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!
@peterkeru8977
@peterkeru8977 Жыл бұрын
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@jamesthompson424
@jamesthompson424 3 жыл бұрын
Literal lifesaver. Haven't done integrals in years and you made me feel like I understand this stuff again in 20 minutes.
@ruthobenewaa7098
@ruthobenewaa7098 3 жыл бұрын
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@ruthobenewaa7098
@ruthobenewaa7098 3 жыл бұрын
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@rakebgirum2387
@rakebgirum2387 3 жыл бұрын
The same shit 😂😂😂
@joelrael9728
@joelrael9728 2 жыл бұрын
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 Жыл бұрын
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 Жыл бұрын
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.
@user-zu5ew8jv5x
@user-zu5ew8jv5x Жыл бұрын
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
@Tropikha
@Tropikha 2 ай бұрын
Less than 2 minutes into the video I'm already familiar with everything... this man is a king
@doiturself..g.o.a.t3508
@doiturself..g.o.a.t3508 2 жыл бұрын
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@wrjazziel
@wrjazziel 2 жыл бұрын
This man does more good than all of those KZfaqrs out there making speeches about improving your life... this fellow make a real contribution to society!... Bravo my man, wherever you are.
@Prince-nb2dd
@Prince-nb2dd 7 ай бұрын
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 2 ай бұрын
Dayum
@zoewerner6187
@zoewerner6187 Жыл бұрын
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.
@oldmandave6039
@oldmandave6039 Жыл бұрын
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
@alinanysiwale2075
@alinanysiwale2075 2 жыл бұрын
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
@nostalgiacademy7378
@nostalgiacademy7378 Жыл бұрын
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.
@hestoncampbell6183
@hestoncampbell6183 3 жыл бұрын
Final is tomorrow and this is the biggest area I am concerned about. Thanks JG.
@ARTDEVGRU247
@ARTDEVGRU247 3 жыл бұрын
Final in 10 hours. Pray for me. lol
@jaybheart9767
@jaybheart9767 3 жыл бұрын
Finals in 1 hour please have prayer meeting
@rody3199
@rody3199 3 жыл бұрын
@@jaybheart9767 how was it?
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@tsanari 2 жыл бұрын
Finals in 10 minutes AAAAAAaa
@Popasger
@Popasger 7 ай бұрын
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).
@insanefanatic
@insanefanatic 3 жыл бұрын
Exactly what I needed
@spicymustard98
@spicymustard98 Жыл бұрын
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!
@shyaamsundar2262
@shyaamsundar2262 3 жыл бұрын
U r really a good teacher. I'm self learning calculus and all ur videos about calculs are very useful. Thankyou ❤️❤️❤️
@jeyanlacson2732
@jeyanlacson2732 Жыл бұрын
I went three whole years in calculus classes without knowing how to u-substitute -- this guy is a legend!!
@maxpaynexl
@maxpaynexl 2 ай бұрын
Bro never stop doing this, you make calc seem so easy
@Mik-hw8sp
@Mik-hw8sp 8 ай бұрын
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
@lilwrighto7793
@lilwrighto7793 Жыл бұрын
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 Жыл бұрын
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.
@sachinprabhuram5765
@sachinprabhuram5765 3 жыл бұрын
Needed this exactly today and you dropped this I love you
@abbyvaldeznava146
@abbyvaldeznava146 3 жыл бұрын
You are awesome dude!! I literally have quiz on this tomorrow and your videos always help me better understand these lessons!
@bltoliver13
@bltoliver13 3 жыл бұрын
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!
@georgesadler7830
@georgesadler7830 2 жыл бұрын
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 KZfaq TV with the Organic Chemistry Tutor.
@Spunky_clare
@Spunky_clare 3 жыл бұрын
U are so underrated for real.... I wish I came across your video earlier... U explained this in a way that its ssooooo easy ABC God bless
@Dahm-id7tx
@Dahm-id7tx 10 ай бұрын
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 :)
@chocolatechip2641
@chocolatechip2641 Ай бұрын
This was the last part of my exam and i totally forgot how to do it. Thank you, you're a life saver!!
@-8l-924
@-8l-924 3 жыл бұрын
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.
@shyaamsundar2262
@shyaamsundar2262 3 жыл бұрын
U r also teaching clearly,calm and soft . I like ur style of teaching ❤️❤️❤️
@sssilky3317
@sssilky3317 2 жыл бұрын
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.
@kiamin3154
@kiamin3154 8 ай бұрын
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.
@trnphantom2586
@trnphantom2586 2 жыл бұрын
This man is an absolute legend, saved my grades so many times and I'm only in my 3rd semester!
@idlehawk9553
@idlehawk9553 Жыл бұрын
You're making my last semester of calculus so much more manageable
@boyar3033
@boyar3033 Жыл бұрын
When I'm starting college I will subscribe to your patreon. Your free videos are a lifesaver. Now I can't imagine how overpowered your full videos will be. Thank you !
@user-qv5bu4ec4m
@user-qv5bu4ec4m Жыл бұрын
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 2 жыл бұрын
this is a good brain refresher for me for differential equations... you're a life saver... THANK YOU
@lummildred9081
@lummildred9081 3 жыл бұрын
I'm taking calculus just because of your amazing videos, thanks very very much sir.
@kenedi987
@kenedi987 7 ай бұрын
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!
@ernieumass
@ernieumass Жыл бұрын
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.
@emmacollins9974
@emmacollins9974 3 жыл бұрын
your timing could not have been more perfect!
@classicchessplayer7068
@classicchessplayer7068 3 жыл бұрын
@emma collins Me too!
@classicchessplayer7068
@classicchessplayer7068 3 жыл бұрын
I looked this up 2 days before the test.
@mechanicalkiller1061
@mechanicalkiller1061 2 жыл бұрын
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
@johnpowers1336
@johnpowers1336 2 жыл бұрын
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.
@nicksjuice699
@nicksjuice699 8 ай бұрын
idk how you manage to make the most difficult topics in class seem like 1+1 for me, thanks man, hope life is well
@crispypretzelchickenfries
@crispypretzelchickenfries Жыл бұрын
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 :)
@Omar-pi6di
@Omar-pi6di Жыл бұрын
me too my exam is in 6 hours 20 minutes
@crispypretzelchickenfries
@crispypretzelchickenfries Жыл бұрын
Update: I got a 43 on it 👽
@jawadzahid24
@jawadzahid24 Жыл бұрын
@@crispypretzelchickenfries 43%?
@crispypretzelchickenfries
@crispypretzelchickenfries Жыл бұрын
@@jawadzahid24 Yeah i absolutely bombed it
@Omar-pi6di
@Omar-pi6di Жыл бұрын
@@crispypretzelchickenfries hot. i got 19%
@Brain_With_Limbs
@Brain_With_Limbs 2 жыл бұрын
Thank you, You're helping me study for my Calculus 2 test!
@HatterTobias
@HatterTobias Жыл бұрын
Really nice refresher! I kind of understand this concept but I was really nervous for finals (so I had big doubts earlier), luckily this video exists
@jeffreyholt1102
@jeffreyholt1102 2 жыл бұрын
very helpful! The essential calculus textbook has been terrible to try teaching myself calc. These videos are amazing!
@sobiyeolufemi1230
@sobiyeolufemi1230 2 жыл бұрын
You've helped my understanding exponentially. Thanks so much
@ValentineChinedum-zk9up
@ValentineChinedum-zk9up 11 ай бұрын
Your ability to explain all these without making a single mistake is still a wonder to me🎉
@liyuanyan5170
@liyuanyan5170 2 жыл бұрын
watch too many videos, only this man explains clearly. Thank you so much!
@angusmackintosh5907
@angusmackintosh5907 3 жыл бұрын
My dose of daddy organic chemistry tutor. He teaches me things, treats me right makes me feel smart. He shows me my limits and pushes me past them filling me with his knowledge, but only if I am willing to listen, only if I am good.
@aG_oh_so_Sneaky
@aG_oh_so_Sneaky 3 жыл бұрын
shut the front door dude
@yoooo7568
@yoooo7568 Жыл бұрын
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@Martyr217
@Martyr217 3 жыл бұрын
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
@mayapale473
@mayapale473 Жыл бұрын
Really appreciate your videos. Thankyou for the time and effort you have put towards producing such videos which are simplified and easy to understand.
@merkins87
@merkins87 2 жыл бұрын
you have absolutely saved my bacon! Our maths professors are definitely the best of what we've been given, but the concepts just weren't clicking for me on this topic. Thank you! Thank you! Thank you!
@ty6512
@ty6512 3 жыл бұрын
how did u know I needed this
@brizeydamartinez1803
@brizeydamartinez1803 Жыл бұрын
I didn't attend lecture, but I'm going to get a 10/10 regardless, thx to this man
@user-ho4hc9jl2x
@user-ho4hc9jl2x Ай бұрын
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
@triskelion9928
@triskelion9928 Жыл бұрын
thank you for this, the collection of questions in this is truly amazing
@michaelterrell5061
@michaelterrell5061 3 жыл бұрын
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 2 жыл бұрын
You're telling me you're watching this in advance? Lucky you, I'm watching this an hour before my exam...
@taylorprince2348
@taylorprince2348 2 жыл бұрын
@@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
@incognito6751
@incognito6751 3 жыл бұрын
Ah, I remember watching the old 1 hour 14 minute video. RIP.
@lubnanaser
@lubnanaser Жыл бұрын
absolutely thankful forever,you taught me more in 30mins than my teacher could ever do in 3months
@alley5911
@alley5911 8 ай бұрын
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)
@beautifulloser8074
@beautifulloser8074 3 жыл бұрын
I’m actually doing this for calculus. This vid helps a lot
@sardaraghayev6189
@sardaraghayev6189 3 жыл бұрын
Good luck 👍
@eileensibanda7239
@eileensibanda7239 3 жыл бұрын
without you I don't know how I would have managed honestly, thank you so much
@Sport6000
@Sport6000 Жыл бұрын
Holy wow I can not thank you enough for this! In less than 20 mins you explained what I had sat scratching my head towards for an hour.
@craig7878
@craig7878 Жыл бұрын
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?
@amirassdino9958
@amirassdino9958 3 жыл бұрын
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 :)
@pavlopavlovskiy4771
@pavlopavlovskiy4771 6 ай бұрын
Saved me multiple times. Did not understand this at all from lectures and mildly from textbook. Your explanations are just amazing!
@OscarNotman
@OscarNotman Жыл бұрын
Calculus final tomorrow and I had no idea how to do these. THANK YOU
@mlucas68_13
@mlucas68_13 2 жыл бұрын
anyone watching this minutes before the calc exam? bc same
@gannondrums2741
@gannondrums2741 2 жыл бұрын
Yep literally 20 minutes before
@jaystonn
@jaystonn 3 жыл бұрын
This video could not have been uploaded at any better point in time 🙌
@RD4Music
@RD4Music 2 жыл бұрын
Explained it way better than my teacher. Wow, you sir are a lifesaver!
@itchyrave
@itchyrave 2 жыл бұрын
you're truly a lifesaver like thank you so much omg 😭 have my end sems coming up and i have no grasp of the concepts from my uni classes but your videos are helping me a lot
@HimanshuKumar-cv2iw
@HimanshuKumar-cv2iw Жыл бұрын
Bro your content is to the point , exactly which we want i loved it . really it helped a lot👍👍👍👍
@tamereatoi3985
@tamereatoi3985 2 жыл бұрын
By far the best explanation I've seen!!! Very good job!!!
@HNMCK
@HNMCK 3 жыл бұрын
Perfect timing for the video! helped a lot thanks
@jasminrivera3513
@jasminrivera3513 2 жыл бұрын
I cannot stress it enough how amazing you are! thank you :)
@barryjnrsilverback4863
@barryjnrsilverback4863 3 жыл бұрын
you're a guiness!! I highly recommend this channel to everyone.... Keep up the good work ♥️♥️♥️
@exotickhanaarif4333
@exotickhanaarif4333 Жыл бұрын
This guy has a special ability of making an extremely complicated topic look really easy!!
@SAlam-bo3ww
@SAlam-bo3ww 2 жыл бұрын
Solving for dx is so helpful! Love this man!
@fiona_axolotl_imnida
@fiona_axolotl_imnida Жыл бұрын
Honestly, I don't think I can graduate highschool without this tutor. Thank you!
@badgalirri
@badgalirri 2 жыл бұрын
Thank youu especially for those last two problems! Truly a life saver!
@programmingkitten1326
@programmingkitten1326 Ай бұрын
I didn't go to a single lecture this year. Learned everything in the last 2 weeks with your videos. They are insanely good. I bought gp4 to help me with math and since it was terrible found your vids. Next semester im def leaving gpt4 to f itself and will get your patreon subscription
@Hopesky355
@Hopesky355 Жыл бұрын
Dude!!😁you have no idea how much of a difference you've brought into my life, Thank you so much 👏🏽
@zabiiaryan8325
@zabiiaryan8325 3 жыл бұрын
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.
@rithwikanchuri197
@rithwikanchuri197 4 ай бұрын
ur the best. i could not get this for the life of me but its so clear when u explain. thanks!
@newtao8384
@newtao8384 8 ай бұрын
thank you so much, sir. you have been helping me for a long time already!
@yog2155
@yog2155 Жыл бұрын
Why is this mans voice so much easier to follow even in the most complicated steps. Much love
@jasonngwa9151
@jasonngwa9151 2 жыл бұрын
you are my savior damn. In 1:30 i understood what I've been cracking my head for for 2 days.
@user-tv3nz1ud9i
@user-tv3nz1ud9i 6 күн бұрын
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 👏
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