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How To Integrate Using U-Substitution

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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.
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Опубликовано:

18 апр 2021

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Комментарии : 1 тыс.

@TheOrganicChemistryTutor 2 года назад

Full 1 Hour 14 Minute Video: www.patreon.com/MathScienceTutor Direct Link to The Full Video: bit.ly/3BsnALS

@theorist353 2 года назад

How to get your full video for free ??

@mechanicalkiller1061 2 года назад

@@theorist353 you can't it is paid content

@platysmemes7663 2 года назад

@@mechanicalkiller1061 yes

@Fred790 2 года назад

We would be lost

@jabbathehut1871 Год 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.

@benjamintoledo5043 3 года назад

Imagine a world without this man 😂

@AnirudhPatki 3 года назад

i can't imagine sorry :lol

@platformofscience9790 3 года назад

You are so funny Love you😂🤣😂🤣😂🤣😅

@SanguineBlackBlood 3 года назад

I wouldn't care.

@KinomaroMakhosini 3 года назад

It's me with a C in calculus class

@SanguineBlackBlood 3 года назад

@@KinomaroMakhosini C's get degrees.

@casapaoaldrinb.8077 3 года назад

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 3 года назад

Completely agree!

@ibrahimseid8032 3 года назад

That's right

@user-lr6xc4jm1c 3 года назад

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

@aboodek.m6774 2 года назад

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

@biphysimath-special3231 2 года назад

I recommend You this video ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-JLxpaOnWSYk.html

@johnnymercer7467 4 месяца назад

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 2 месяца назад

Give me tips bro.. 😢

@Amilla18 2 месяца назад

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

@overlord3481 2 месяца назад

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

@programmingkitten1326 2 месяца назад

This vid is 3y old tho

@JohnDoe-np7do 10 дней назад

@@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.

@nuclearoach 3 года назад

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 3 года назад

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!

@SpartanFunnyProyect 2 года назад

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

@kaanyldrm9983 2 года назад

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

@kythemervenfrancisco3636 Год назад

a true chad

@joeyenniss9099 Год назад

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

@razoredge8284 3 года назад

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

@strixpanahu1420 3 года назад

100% same!

@charlest2858 3 года назад

Did you pass?

@razoredge8284 3 года назад

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

@silentintegrals9104 3 года назад

Hopefully it worked fine?

@dionel1388 2 года назад

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

@grimgracious 3 года назад

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 2 года назад

did ur prof never teach implicit differentiation?

@WizardJose 4 месяца назад

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

@anniemonroe9285 2 года назад

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 Год назад

this is so real😩😂😂😂

@jamesthompson424 3 года назад

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

@ruthobenewaa7098 3 года назад

8799978

@ruthobenewaa7098 3 года назад

@rakebgirum2387 3 года назад

The same shit 😂😂😂

@mystellix4426 3 года назад

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

@joelrael9728 2 года назад

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 Год назад

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 Год назад

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.

@Prince-nb2dd 8 месяцев назад

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 2 месяца назад

Dayum

@doiturself..g.o.a.t3508 2 года назад

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

@Tropikha 3 месяца назад

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

@wrjazziel 2 года назад

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

@user-zu5ew8jv5x Год назад

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

@zoewerner6187 Год назад

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.

@hestoncampbell6183 3 года назад

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

@ARTDEVGRU247 3 года назад

Final in 10 hours. Pray for me. lol

@jaybheart9767 3 года назад

Finals in 1 hour please have prayer meeting

@rody3199 3 года назад

@@jaybheart9767 how was it?

@tsanari 2 года назад

Finals in 10 minutes AAAAAAaa

@sagacious_Codyt 2 года назад

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

@oldmandave6039 Год назад

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

@Popasger 7 месяцев назад

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).

@spicymustard98 Год назад

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 Год назад

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 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.

@insanefanatic 3 года назад

Exactly what I needed

@emmacollins9974 3 года назад

your timing could not have been more perfect!

@classicchessplayer7068 3 года назад

@emma collins Me too!

@classicchessplayer7068 3 года назад

I looked this up 2 days before the test.

@chocolatechip2641 Месяц назад

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

@maxpaynexl 3 месяца назад

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

@nostalgiacademy7378 2 года назад

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.

@crispypretzelchickenfries Год назад

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 Год назад

me too my exam is in 6 hours 20 minutes

@crispypretzelchickenfries Год назад

Update: I got a 43 on it 👽

@jawadzahid24 Год назад

@@crispypretzelchickenfries 43%?

@crispypretzelchickenfries Год назад

@@jawadzahid24 Yeah i absolutely bombed it

@Omar-pi6di Год назад

@@crispypretzelchickenfries hot. i got 19%

@shyaamsundar2262 3 года назад

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

@nicksjuice699 9 месяцев назад

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

@jeyanlacson2732 Год назад

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

@sachinprabhuram5765 3 года назад

Needed this exactly today and you dropped this I love you

@Dahm-id7tx 11 месяцев назад

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 :)

@kiamin3154 8 месяцев назад

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 2 года назад

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

@fiona_axolotl_imnida Год назад

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

@user-ho4hc9jl2x Месяц назад

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

@idlehawk9553 Год назад

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

@Brain_With_Limbs 2 года назад

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

@Mik-hw8sp 9 месяцев назад

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

@ernieumass Год назад

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.

@Spunky_clare 3 года назад

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

@amandatena4612 2 года назад

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

@liyuanyan5170 2 года назад

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

@Sport6000 Год назад

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.

@angusmackintosh5907 3 года назад

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 3 года назад

shut the front door dude

@yoooo7568 Год назад

@@aG_oh_so_Sneakyuwu

@-8l-924 3 года назад

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.

@OscarNotman Год назад

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

@ValentineChinedum-zk9up Год назад

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

@mechanicalkiller1061 2 года назад

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

@lummildred9081 3 года назад

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

@user-qv5bu4ec4m Год назад

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.

@boyar3033 Год назад

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 !

@shyaamsundar2262 3 года назад

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

@bltoliver13 3 года назад

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!

@exotickhanaarif4333 Год назад

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

@newtao8384 9 месяцев назад

thank you so much, sir. you have been helping me for a long time already!

@abbyvaldeznava146 3 года назад

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

@brizeydamartinez1803 Год назад

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

@lesliejimenez1369 Год назад

you made this so easy to understand thank you so much aaaaaaaaaaaaa, passing all my calculus curses bc of you!

@kenedi987 8 месяцев назад

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!

@georgesadler7830 2 года назад

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 RU-vid TV with the Organic Chemistry Tutor.

@sobiyeolufemi1230 2 года назад

You've helped my understanding exponentially. Thanks so much

@alley5911 8 месяцев назад

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)

@Alex-xi3bw 2 года назад

only passing calculus because of the big 3: nancypi, organic chemistry tutor, professor leonard....

@ty6512 3 года назад

how did u know I needed this

@incognito6751 3 года назад

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

@programmingkitten1326 2 месяца назад

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

@merkins87 2 года назад

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!

@michaelterrell5061 3 года назад

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 2 года назад

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

@taylorprince2348 2 года назад

@@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

@Martyr217 3 года назад

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

@sssilky3317 2 года назад

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.

@lubnanaser Год назад

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

@beautifulloser8074 3 года назад

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

@mlucas68_13 2 года назад

anyone watching this minutes before the calc exam? bc same

@gannondrums2741 2 года назад

Yep literally 20 minutes before

@pavlopavlovskiy4771 6 месяцев назад

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

@yog2155 Год назад

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

@craig7878 Год назад

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?

@goranjohnson4093 Год назад

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

@theintellectual8811 Год назад

saviour is crazy

@sardaraghayev6189 3 года назад

Good luck 👍

@georgegonis3643 9 месяцев назад

how is this explained so well. Never disappoints

@Morningstar136a1 8 месяцев назад

you're a life saver....thank you sir🙏🙏🙏

@amirassdino9958 3 года назад

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 :)

@nicolejones3686 10 месяцев назад

Thank you so much for this video ☺️🙏🏾 I want confused for 2 days 😅

@jasonngwa9151 2 года назад

you are my savior damn. In 1:30 i understood what I've been cracking my head for for 2 days.

@allisonwoodard2244 8 месяцев назад

I would give this man the firmest handshake of his life.

@rubasalim1437 2 месяца назад

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

@elizahbanabas3413 3 месяца назад

This men deserves a noble price❤

@cleo2936 4 месяца назад

everytime you teach I fall inlove w u even more tysm 😭😭 I'm really BAD at math but ever since I discovered your channel I'd top my class in most of the math tests TYSM U DESERVE ALL THE CREDIT

@RD4Music 2 года назад

Explained it way better than my teacher. Wow, you sir are a lifesaver!

@user-tv3nz1ud9i 18 дней назад

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 👏

@rithwikanchuri197 5 месяцев назад

ur the best. i could not get this for the life of me but its so clear when u explain. thanks!

@adrianaamir3954 3 месяца назад

man i swear to god you are the goatt, youve been saving my grades since high school, now im in uni and you are still saving my grades.. and for that i thank you very much sir

@johnpowers1336 2 года назад

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.

@cappymons8191 10 месяцев назад

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

@user-xi6bm4me8y 4 месяца назад

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

@zabiiaryan8325 3 года назад

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.