U-substitution With Definite Integrals

[@TheOrganicChemistryTutor]

Integration - Free Formula Sheet: bit.ly/3XCT6oz Integration - Video Lessons: www.video-tutor.net/integration.html

[@solice3473]

Honestly, your videos should be used as classroom material. It's absurdly simple and thorough. Nothing but compliments my dude.

[@ultimatekenz]

your calc homework will NOT be this easy using the same concept. you'll see.

[@bernardoramirez1759]

@@ultimatekenzstill works great as an introduction to the topic, don’t be so cocky

[@deserttan37]

@@ultimatekenzok, but the concept applies to most applications even as they get more complicated. my calc professor couldn’t teach this lesson even close to as clearly as he does. cocky little calculus baby you are huh 😂

[@ultimatekenz]

@@deserttan37 at the time, i was just really frustrated with homework way out of depth with what was being taught. It was this but on crack, hence my deeply depressed sass lol.

[@deserttan37]

@@ultimatekenz i feel that. had 15 questions on my hw and the last 5 were crazy steroid problems. I was in a mood too 😂😂

[@genevievemenz5906]

Thank you so much for not skipping steps. You're a sanity hero.

[@mogethecurator3232]

Idk what you mean, there are quite a few things I didn't get. like u cubed. Where did that come from? The bad thing about catching up on math is that on top of keeping up with new information, you have to remember every minute detail of what you've learned in the past or be destined to be hopelessly lost Edit: Which isn't the case in nearly any other subject. Even with science, concepts that don't strictly rely on math are more malleable than this.

[@mogethecurator3232]

@Capri Ok, thanks

[@andrewmourar2314]

I love you Genevieve. I'll always love you.face-purple-crying

[@Syntaxxed]

@@mogethecurator3232 it very much is the case in most sciences though. In chemistry for example it all builds up. It helps to just review your basic math even when you're doing 'higher' math. Good luck!

[@ahmslav]

@@mogethecurator3232 u just a lil bit dumb dats it

[@akmsadi3698]

Thank you sir, it is a life saving channel for millions of students like me

[@themodernpirate2827]

You saved me on chemistry, now you're saving me on calculus, thank you!!!

[@pasekamothobi6684]

I am from Lesotho and studying ENGINEERING i would like to say thank you very much with your videos they really help a lot, I do not even waste my time/bother by opening text book i just come straight to your videos thank you!

[@theimpossiblecastillo8158]

I also study Engineering! This man is a help to all of us who do engineering. God bless him.

[@FreshBeatles]

2:57 The most perfect square root symbol drawn on a computer.

[@ggripen]

It's written by hand though, like a pen for an iPad.

[@green_razor8569]

@@ggripen oh

[@tmbottegal]

It’s still beautiful.

[@liammcmahon6027]

I need to say if you aren't trying the examples before he shows you, you are missing out. My math got so much better after I started to do that with this guys vids.

[@simonpeapo9521]

The king 👑 of maths, chemistry, physics,, utility , gifted and talented person with beautiful voice,,, thanks much for your help

[@GamerBoii815]

calc and engineering are really kicking my ass but you help so much with these videos. thank you

[@Mako_Abraham.N]

On behalf of all my fellow engineering students and other majors whether they thanked you or not…Am here to declare a very big thank you, sir👏🤝…Ur videos are very educative❤️

[@WhatIsTheHeat]

I like that you always do the factoring or the changing of denominators in your head rather than on calculator because it makes it so I don't get confused on something that seems very obvious.

[@frankamponsah-fh5kl]

You are the best sir, your tuition are really making impact in African students (Ghana). ✊

[@muhammedlaminceesay7881]

I am from Gambia how is school life in Ghana

[@knanzeynalov7133]

I’m here as finals coming in the next weeks. Thank you so much for precious explanations.It is better than university teacher’s 2 hour lectures.

[@rosehope4160]

For literally any topic I am confused about, you have the best youtube video on, thank you so much!!!!!!!

[@ChefFarisMom3]

OMG I got it in the first example... without you I would not be able to understand these concepts stay blessed and healthy 🙏 ✨️

[@downwithmyotp]

My math teacher doesn't teach and just read textbooks... I've been watching so many of your videos and they all help me greatly!

[@githice]

Engineering driving me nuts...u saving my sanity, keep up

[@shinryu9754]

How’s engineering rn bro

[@deidei2305]

Update us fam I wanna be an enginner

[@JesusMartinez-zu3xl]

@@deidei2305 I'm a Mechanical Engineering major and i love it! The math just takes practice

[@VimansaKarunaratne]

After reading this comments I also thought of why not thank him cuz withouth this man i won't be doing any integration sums.... I was totally helpless but then found this vids I think this is the turning point of my maths journey 😊 thank u sir ❤ this words are not much hut i mean it from the bottom of my heart with all my heart ❤

[@Marie-uj7ku]

you stayyyyyy saving my life and helping me understand calc. thank you thank you thank you!

[@dingus7081]

you know you're cooked when your learning things the day before the exam

[@lai17]

you’re ** 😹

[@juliuscesardeguzman4605]

last high school final today thanks for all the help throughout my four years of high school

[@williamwinslade9786]

literally the greatest tutor of all time

[@yusufosmanzai927]

Thanks, buddy for everything your are the literal reason how I am passing calc 1

[@sethtrotter7139]

Thank you so much. My college professor at mf Baylor University is total ass and can't explain this. This is actually so simple smh. You are actually the best teacher. I learn all of my math and science subjects from you instead of an allegedly prestigious university.

[@deidei2305]

Wow should I reconsider college

[@believer8754]

@@deidei2305 just for piece of paper degree

[@jayharris5086]

Dude I go to harvard and I legit watch these videos before I go to office hours. I mostly just end up finding other questions to get help on because this guy answers my questions for me! He is an angel

[@AlphaK22-]

Well seth funny seeing you here

[@pollarr3240]

You're ltrly a life saver tysm ❤i was confused on how to change the limits while using substitution but now its cystal clear ❤❤

[@miguelandrepaja7932]

You're my go to math/science youtube

[@asirithwelzorn5907]

This makes so much more sense now, thank you ❤

[@CudChewingCattle]

I actually prayed for you tonight. Thanks man. Your videos are very easy to understand. If I were to advise one thing, it would be to have a more in-the-weeds Playlist. I get that most professors want you to just know the covered material. However, others want you to be at THEIR level doing problems 50x harder than the examples shown. Although I'm guessing there's a patreon. Does it cover the hardest examples? Thank you and God bless.

[@georgesadler7830]

Professor Organic Chemistry Tutor, thank you for solving Definite Integrals using U-substitutions in Calculus. This is the beginning of Integration Techniques in Calculus and Applied Science. This is an error free video/lecture on KZbin TV with the Organic Chemistry Tutor.

[@ninaberdennikova854]

these videos helped me before but this one is just golden. thank you sm my guy

[@muhammedlaminceesay7881]

this channel is game changer

[@eduardo0796]

Great explanation, although I thought your lower limit could not be a bigger number than the higher limit. Shouldn't we multiply the whole integral by -1 so we can switch them up?

[@superhessu3]

Yes we should

[@stephaniemomma]

The 2nd one right? The comments always save me when I think I might have done something wrong 😊

[@Lavishhh17]

Is it the same answer either way? I just wanna confirm that

[@thairaism]

I love you.. came here afer stressing from not understanding my lecturer

[@keyb]

So I think it works with a simple set of "steps" to follow from what I could gather. 1. Use U substitution to simplify, along with finding the derivative of u. 2. Get rid of all remaining x-terms. 3. Find the lower and then upper bounds of the function. 4. Integrate u along those bounds by using part 2 of calculus. 5. Solve and you should have an answer?

[@karencrawford7260]

I wish you was my teacher, within 1 minute you had me squared away ❤❤❤❤

[@razasyed575]

I love you so much the organic chemistry tutor

[@roa1437]

Thank from 2021 each year millions ❤ students will thank you 😊

[@sarahclark2287]

Thank you for saving my life and my brain from spontaneously combusting.

[@Tcrrxzz]

I’ve been watching @TheOrganicChemistryTutor videos for awhile and it helped me a lot! 🎉❤

[@zakeriasharuq6982]

I am very glad that I find out the professor Wilson lectures for my math helping. Thank you so much professor Wilson. Zakeria Sharuq

[@lukekateka]

Thank you sir for calculus to be simple around the world

[@Sunny-fh8xu]

my good sir you are invited to my graduation because you are the sole reason it will happen

[@TheOrganicChemistryTutor]

Thanks! I appreciate that.

[@BismaAbdulGhaffar-eb5ck]

You're such an amazing teacher ❤ I'm in love with your videos😍🔥

[@kaygee4510]

Me watching his videos hours before my test because I know he's gonna save my life😂

[@moreenwanjiru9801]

🤗🤗.. thankyou.. u are thr best.. i enjoy your lecture.. 👍👍

[@poo01123]

Doing a psmt and I finally found this, thank you

[@ian-hm6cx]

thank you so much bruh i'm sick and we learned this in class today while i was gone and we have a test on friday

[@Syntaxxed]

Excellent video as always

[@Guessnought]

thank you for helping my find a huge gap in my notes. ill get through business calculus yet.

[@MartinGalindo-y5q]

You make this look so easy 😢 Imma keep practicing though

[@AmazingDerick]

Hey sir 🤭 Guess wah? You just got it!! ❤

[@theimpossiblecastillo8158]

God bless you, my brother!

[@zbedits176]

ur a legend my dude

[@jack1234524]

Great video. Keep it up bro.

[@negar1370]

Thank you so much. really appreciated

[@paulagyapong7155]

You make it very simple. Thank you

[@bonfacewashiali1016]

This man realy help me thank you

[@mnonelelidambuza5207]

You know what I adore you even the word adore doesn't even begin the way I adore you right now

[@sebastianannab8159]

Man you’re so helpful

[@ismaelersoz]

9.10 u should be 1+x^2 but it seems you missed 1

[@WhiskyPapi]

hello guys, tomorrow is my final exam of calculus 3. YES I'm here watching a video on how to solve a definite integral by substitution before my final exam which has double and triple integrals. YES I know I am screwed, wish me luck

[@edwardweisberg4369]

How did it go? I need to know this Resect

[@WhiskyPapi]

@@edwardweisberg4369 hey, afortunately I passed the course :)

[@edwardweisberg4369]

@@WhiskyPapi Yay! I also passed vector calc

[@LaurenNguyen1015]

You’re a lifesaver

[@z1lla4]

You're cute

[@Sarpa.]

F.R.P. (Federal Roach Patrol) you’re cuter

[@z1lla4]

@@Sarpa. no you

[@bonelesspizza6311]

How do you know when to use u substitution vs integration by parts? When I saw the first example, I thought of by parts but he used U substitution instead. So how do we know when?

[@RooneyTube]

i love u man finally i got it

[@icequeen2908]

شكرااااا❤️❤️❤️❤️❤️

[@muhammedg-tips1584]

great content bro ♥♥

[@Lomokkoe]

I feel like an idiot. I remembered the adjusting values but I didn’t pay enough attention to remember to leave u. I just would but u back in and use the original values lol

[@yaweli2968]

You can substitute back your x’x in place of uus and leave the limits unchanged.

[@eg9847]

I love this guy man

[@haroentmimi]

thank you for this video, gigachad

[@jakujobi]

This is awesome work

[@marcus9441]

I get it right up until 8:39

[@jayjoy]

Thanks man I forgot I need to change limit too

[@LuzHernandez-io6ul]

Do you have a video of U-Substition with Indefinite Integrals?

[@TheOrganicChemistryTutor]

Yep: kzbin.info/www/bejne/qZW8laGmjtNgZ9E

[@marcello8016]

you're an American Ninja! I'll read a book wrote by yourself one day.

[@zahramaryam2316]

Excellent 👍

[@AubreyElmari]

Well explained .

[@isaiah7141]

for the question at 5:44 is there not another negative sign added to the front of the equation since its from the bigger number to the smaller number?

[@sarahc.7386]

exactly, that’s what i thought!

[@CudChewingCattle]

Also this video does not have any audio FYI. Still more informative than the prof I'm paying 😂😂

[@Rr-rb9uv]

Huh? The audio is fine

[@RaKream]

thanks for making this video

[@pegasusazure9975]

兄弟，讲得太好了。

[@qooooe]

I love you thanks for the clarification

[@firmmy7458]

THANK YOU SO MUCH

[@fafiethamae]

@TheOrganicChemistryTutor Why are we changing the limits ??

[@nhaz652]

Hey, thanks for uploading this video! I have a qn. At 1:51 , how come do we not substitute the du? Help me see it, please! Thanks!

[@nhaz652]

@Vyasa r thank you so much! yes it has helped☺️

[@nikk_scan]

thanks a lot bro from indian kid

[@ant2130]

Why is it that when you plug in the lower limit for the integral with respect to dx (that being 0) it becomes the lower limit with respect to du, instead of it being the upper limit with respect to du (since 16 is greater then 0) - question to do with the worked example @3.37

[@SAsquirtle]

Antasar Suleman when you swap limits in substitution, you just plug in the values and replace limits. Here it is from 0 to 4 so when x = 0 , u=16 and when x= 4, u= 0 ( from u = 16-x^2) and hence the integral which was from 0 to 4 in terms of x is now from 16 to 0 in terms of u . If you want it to he from 0 to 16 just put a negative sign outside and you can swap the limits

[@user-mf8nu5qe5f]

Ur honestly a god

[@asilondeluyanda4800]

youre my savior

[@aidanmohrman9493]

things make so much sense now

[@ZohaibJavaid-s2h]

Great ❤❤❤❤❤❤❤

[@mogethecurator3232]

I'm lost at 1:58. Where did u cubed come from? There is no cubed earlier in the problem, it just seems like it comes from absolutely nowhere

[@meghnabobby7485]

I know it has been 2 years but the antiderivative of u^2 is u^3-- antiderivative equation (U^2+1)/(2+1)=(u^3)/(3)

[@mylifeasriya]

this video saved my life

[@mionmilla7300]

I'm confused when I used the formula here got results different from the mathway calculator results. I don't know which lne is tru but I definitely followed this one here when I was solving

[@jbmu4644]

Amazing thank you!

[@yaweli2968]

Your name has to change from the organic chemistry tutor to “the every college course tutor”!

[@Unknown-ox1yq]

The only thing I don't get is what if it can't be simplified?

[@tipsypata2580]

thats the answer then

[@bbbbb8839]

You save my life

[@nitaigao]

You are my hero

[@nokhinsiu7210]

If there isn't something to simplify the fraction, what should I do?

[@-An_Idiot-]

Put it outside the integral