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Basic Integration Rules & Problems, Riemann Sum, Area, Sigma Notation, Fundamental Theorem, Calculus 

The Organic Chemistry Tutor
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Комментарии : 310   
@TheOrganicChemistryTutor
@TheOrganicChemistryTutor 8 месяцев назад
Integration - Formula Sheet: bit.ly/3XCT6oz Final Exams and Video Playlists: www.video-tutor.net/
@Ms452123
@Ms452123 6 лет назад
I think you should go to bed every night knowing that there are a thousand students out in the world that genuinely love you man. You contribute to so many peoples success.
@joancoleman6424
@joancoleman6424 3 года назад
And teachers love you too! Thanks for all the work you do. You are may favorite math guru.
@voodooblue6162
@voodooblue6162 3 года назад
Only a thousand?
@onkematola1418
@onkematola1418 2 года назад
@@voodooblue6162 millions
@bibhashsharma6481
@bibhashsharma6481 2 года назад
1l.
@yongeatman3482
@yongeatman3482 2 года назад
Not just young ones.67 yrs old asian grandma,too
@cacatow
@cacatow 6 лет назад
you are a gift from God
@simonvutov7575
@simonvutov7575 7 месяцев назад
he is baby jesus
@moa7510
@moa7510 6 лет назад
School and college lectures should just be your review videos like these. I think maybe one week of your lecture videos can get anyone through all of calculus. You literally allowed me to go through an entire calc class thank you!
@miriamputter7059
@miriamputter7059 Год назад
I agree. I also think that we have to be grateful for such a good job. I hope, the author could get some money and honor through his job.
@reyza3640
@reyza3640 Год назад
True man
@pw69
@pw69 5 лет назад
An error on 30:17. Antiderivative 2/5-4x equal -1/2*ln |5-4x| not -2*ln|5-4x|
@guru9b927
@guru9b927 3 года назад
Yep i came for the comment section to leave this
@Anatoliandude7
@Anatoliandude7 3 года назад
i looked into the coomment section before watching the video and you seemed like someone who really knew his math's i didnt understand a word of what you just said. im at the 30th minute and i found the same result that you did i when i realised that he made a mistake it hit me i remembered ur comment all i can say is this man is really good at teaching.
@c3cil358
@c3cil358 3 года назад
@@Anatoliandude7 teaching so good he makes mistakes to see if we are paying attention
@fl_d1043
@fl_d1043 3 года назад
Right There is the mistake happened , but his standard of teaching is out of box ..... ❤️❤️
@huzaif2784
@huzaif2784 2 года назад
It’s not a mistake. If two was the denominator then your answer would’ve been correct lol
@timothyyeung3669
@timothyyeung3669 7 лет назад
How are you able to talk for so long
@bottles1215washacked
@bottles1215washacked 5 лет назад
the videos are cut into different times
@ramomehmedovic351
@ramomehmedovic351 5 лет назад
@@bottles1215washacked that and also talking quietly
@adamjones6473
@adamjones6473 4 года назад
2 hours isn’t that long for prof to teach..
@bonzaralph
@bonzaralph 7 лет назад
Please check 30.30 where you divide 2 by - 4 to get - 2 as the constant in the last term. Shouldn't this be - 1/2, ie - 1/2 (ln 5 - 4x)? Otherwise, haha, of course absolutely excellent and gives hope where there wasn't so much. Cheers
@prathamwadhawan1986
@prathamwadhawan1986 4 года назад
yesssir my nigga
@yikushieda
@yikushieda 4 года назад
yes! but wow this video was amazing
@lindiwejulia9763
@lindiwejulia9763 4 года назад
Lol I actually went through the comments to check if I'm the one whose made a mistake or not..thanks
@clubexcellence1415
@clubexcellence1415 2 года назад
yeah but it was a minor problem compared to the job hes doing here... honestly
@aqua3890
@aqua3890 2 года назад
@@lindiwejulia9763 me too haha
@gavinlockard5547
@gavinlockard5547 7 лет назад
You're going to carry me all the way through Calc II 😅
@invalidusername1239
@invalidusername1239 7 лет назад
Gavin Lockard once u get to calc 3 it will be good looking up professor leonard. Dont be afraid by the length of the videos, trust me you will thanks me later😁
@ahmadzaka9885
@ahmadzaka9885 5 лет назад
@@invalidusername1239 thanks for the advice I'll sure look him up.
@caymanogden6460
@caymanogden6460 3 года назад
4 years later and we still watching him
@jakennaji5943
@jakennaji5943 3 года назад
@@caymanogden6460 fr
@virajfunhouse8491
@virajfunhouse8491 2 года назад
What
@jk-qs9dt
@jk-qs9dt 3 года назад
15:41-30:40 7. Antiderivative of Exponential Functions and Rational Functions - Natural Logs 30:41-41:08 8. Integration of Trigonometric Functions - sin, cos, sec^2, sectan, and more
@salahhk_d9147
@salahhk_d9147 Год назад
Thank you bro ❤
@jimhalpert9803
@jimhalpert9803 4 года назад
OCT : takes 1+ min on integrating trigonometry related integrals. Me who has solved hundreds of them in other OCT videos : **Laughs in identities**
@gavin9966
@gavin9966 5 лет назад
This video makes me cry tears of joy.
@ziziphomn6804
@ziziphomn6804 3 года назад
you contribute to the education of South African students, thank you so much....
@Burbs15
@Burbs15 6 лет назад
I think at 2:19:35 s(t) is supposed to be s(t)=1/2t^3-3t^2+15/2t+1. I think you forgot the 1/2 for the first variable. Great videos though man you're a lifesaver.
@miguelposada3684
@miguelposada3684 Год назад
thank you for the video it was extremely helpful! also, min 30:34 I believe is -1/2 instead of -2. please let me know :)
@heathjokerledger101
@heathjokerledger101 Год назад
i think he missed it
@Franky10207
@Franky10207 11 месяцев назад
i think so @@heathjokerledger101
@wakuwaku3190
@wakuwaku3190 9 месяцев назад
Yeah. It supposed to be -1/2.
@NRVRRMIND
@NRVRRMIND 2 года назад
I don't often comment on videos but this is fantastic. Watching it the night before my midterm and it covered everything I need to know. I sometimes have no idea where to start my studying and it can be scary, but this has helped so much :)
@kendaiis2346
@kendaiis2346 5 лет назад
we want a face reveal
@yukaihatsu
@yukaihatsu 2 года назад
Time Stamps would be ideal. 2:27:20 - Fundamental Theorem of Calculus
@eno-obongimeokparia3608
@eno-obongimeokparia3608 10 месяцев назад
I've been having problems with integration, but on watching this video integration has been made easy.Thank you
@M8DLT
@M8DLT 5 месяцев назад
Bookmarks 1:42:22 Properties of Integrals 2:27:20 Fundamental Theorem of Calculus
@omarhardan6011
@omarhardan6011 Год назад
5 years has passed and this legend is still helping students with these old videos
@mathewramon7797
@mathewramon7797 Год назад
true
@ElizRued
@ElizRued 7 лет назад
By far one of the best videos in youtube. Thank you SO MUCH for sharing your knowledge in a clear manner!!
@pfeliciano4062
@pfeliciano4062 5 лет назад
What would you do? - Hi, I am John Quiñonez. What made you made these videos to help all these struggling students?
@leta3713
@leta3713 3 года назад
This guy literally knows everything...I just wonder when I hear his "In this video...' phrase on different topics which have nothing in common.
@HamedRigi1998
@HamedRigi1998 5 лет назад
bruh I love how you explain in a very simple way that even if somebody haven't studied maths or calculus still can understand what you say. bruh you are the reason why I am passing calc in uni! Thank you so much!!!
@xy-pu5ti
@xy-pu5ti Год назад
30:25 it should be -1/2 not -2, but otherwise great video. helped me alot so thank you
@runa441
@runa441 2 года назад
I really love your videos sir! They help me understand stuff i couldn't from online class and I'm really grateful to you for this. But could you make a playlist so that it will be easier for us to find what's the next video to watch and learn from?
@keotshepilemandona9882
@keotshepilemandona9882 6 лет назад
thanks god am watching your videos if it wasnt for them, i would have failed calculus for this semester...keep doing great work
@matheusosa
@matheusosa 3 года назад
At 30:36 the third term supposed to be: -1/2 * ln| 5 - 4x| + C , isn't it?
@Balaji_bolt
@Balaji_bolt 2 года назад
Yea
@nzearimo
@nzearimo Год назад
Hello. I don't think you did the integral @ 30:32 correctly for (2/5-4x). it should be -1/2In(5-4x). (-4) is the denominator. If 2 divides, we should still have -2 as a denominator. Hence the correct integral would be In(5-4x)/-2 or better still -1/2In(5-4x)... Thanks though for this free class.
@kimpachis8841
@kimpachis8841 4 года назад
i always forget to include the constant in the end
@jimhalpert9803
@jimhalpert9803 4 года назад
You'll get the hang of it
@nihatdonmezov8354
@nihatdonmezov8354 3 года назад
In 30:36, I think it must have been (1/-2 ln|5-4x|) instead of 2ln
@ricardo-kf1oq
@ricardo-kf1oq 2 года назад
thats what im sayin
@necatiakpnar5677
@necatiakpnar5677 6 лет назад
I passed from Physics because of you. It's time for CALCULUS!
@MP-cv6if
@MP-cv6if 3 года назад
How did it go?
@necatiakpnar5677
@necatiakpnar5677 3 года назад
@@MP-cv6if I graduated last year :D
@MP-cv6if
@MP-cv6if 3 года назад
@@necatiakpnar5677 great! so his tutoring can get people through uni sucessfully
@navjotsingh2251
@navjotsingh2251 2 года назад
@@MP-cv6if not just uni, his tutoring will get you through life 😅
@dole6182
@dole6182 7 лет назад
Thank you so much for creating these videos! I have an upcoming exam on Calculus and this video is a great summary on everything I have learned so far. There was a mistake that you have made at 30.30. One person in the comments section has already mentioned it but either way you are a great tutor. So keep up the work and hope you have a good day.
@trincoz2007
@trincoz2007 Год назад
I really appreciate your work it's so much helpful and I hope you continue this yeah words can't say it all but know that we r proud of you
@CookieCrooks
@CookieCrooks 3 года назад
coming here from calc 1 in college, Have a professor who doesn't speak good English and isn't a great teacher. Besides your teaching skills, you are an amazing and very gifted human being! Just know we all appreciate everything you do very much. If you think about it you are educating masses of people for FREE. bless you and thank you so much!
@mangalover8764
@mangalover8764 3 года назад
I want to say thank you. Because I passed Calculus 1 because of you. I hope you can create more videos to help us learners. God Bless!
@deshawnburton7114
@deshawnburton7114 2 года назад
Dude the way you just explain everything so simply unlike my lecturers who phrase it in the most fucking confusing way possible to make me fail. I could kiss you🥺
@n1tr0-b9c
@n1tr0-b9c Год назад
Are we in the same class?
@bhaveerathod2373
@bhaveerathod2373 9 месяцев назад
at 30:26 it should be -1/2 instead of -2, still AMAZING VIDEO!!
@sara_mercischmeckt
@sara_mercischmeckt Год назад
I can't even express how grateful I am to be able to watch your highly qualitative content for free. I hope god blesses you and your family with wealth, health & happiness. You are awesome! I get overwhelmed so easily especially with mathematical expressions used in lectures or scientific literature. You helped me a lot with my anxiety because you have an incredible way of showing the simplicity of seemingly complicated topics. Thank you so much !
@giannaclark2041
@giannaclark2041 2 года назад
Trapezoid rule (avg. of the left and right Riemann sum)1:02:00-1:07:00
@giannaclark2041
@giannaclark2041 2 года назад
simpson's rule 1:07:00-1:10:05
@Pabzie504
@Pabzie504 10 месяцев назад
Words cannot express my gratitude for distinctions I got on both my tests for the semester. I needed to remember this basics after 8 years since diploma. Can't wait to finish with my degree😅, thank you so much 🇿🇦
@Bel...QWERTY1
@Bel...QWERTY1 10 месяцев назад
I know it is a seperate thing but ... how they know that sum of squares equals the formula that you note ??
@amirk27
@amirk27 7 лет назад
thank you so0o much GOD blessed you always
@yieeennnbilbilll7084
@yieeennnbilbilll7084 2 года назад
This video is really a big help!!! Calculus is so hard if you are self-learning, because of this pandemic, and because I had a project where I need to video myself and teach on how to solve integration using rules, your video truly helped me to understand calculus clearly!!! Our teacher uses terms that make calculus hard but the examples you use to teach us are a great way to teach and learn each topic of calculus clearly. Kudos to the man behind the voice of this channel and a big THANKS!!!!! ლ(^o^ლ)
@doninoobsh9581
@doninoobsh9581 3 месяца назад
2:19:47 I guess there is supposed to be (t^3)/2, not just t^3
@doninoobsh9581
@doninoobsh9581 3 месяца назад
Finally I watched this video fully, thanks a lot!!!
@Callmeromain2016
@Callmeromain2016 5 лет назад
MISTAKE 30:26. 2/(-4)= -1/2
@HamzanMartinez
@HamzanMartinez 5 лет назад
Upvote this. I wanted to comment about this but forgot.
@emily9917
@emily9917 3 года назад
Been Said several times… All of you repeaters should read a bit before repeating.
@Skyavatar
@Skyavatar 4 года назад
i think there is an error at 30:32 which is supposed to be 1/2 ln|5-4x|+c
@mohamedalzohary6878
@mohamedalzohary6878 4 года назад
yes that's right
@yourmother3207
@yourmother3207 4 года назад
is it positive 1/2 or -1/2?
@yourmother3207
@yourmother3207 4 года назад
@@mohamedalzohary6878 is it positive 1/2 or negative?
@mohamedkhaled4967
@mohamedkhaled4967 3 года назад
@@yourmother3207 negative
@zaina7565
@zaina7565 6 лет назад
I LOVE YOU!! YOU SAVED MY FREAKING LIFEEEE
@mohamedabubakar8487
@mohamedabubakar8487 6 лет назад
excuse me but in 30:25 2/-4 is -1/2 . not 2
@iqdubz2036
@iqdubz2036 5 лет назад
Excused
@Meenimie
@Meenimie 6 месяцев назад
I don't know if I can ever thank enough.
@devondevon4366
@devondevon4366 4 года назад
0:51 the antiderivative (integral) of x^2 is x^3/3 since the derivative of it is 3x^2/3 =x^2, so you got straight back to x^2 . 2:24 the antiderivative of x^4 dx is x^5/5
@RealBrother.03
@RealBrother.03 3 года назад
Wrong.
@mnm15798
@mnm15798 Год назад
correct! but don't forget to add the constant at the end x^2 = x^3/3 + C x^4 = x^5/5 + C
@mandyandion8032
@mandyandion8032 6 лет назад
At 30:35 could you recheck your answer, I think you’ve might done that wrong....
@abubakermomini8564
@abubakermomini8564 4 года назад
Yeah. It have to be 1/2 ln .....
@gabrielpoupou1479
@gabrielpoupou1479 4 года назад
It is but it's not that big of an error
@JoJoo.w
@JoJoo.w 4 года назад
wait there's a problem.... it actually makes sense this isn't like the calculus I've been doing for years
@raadsarar4759
@raadsarar4759 4 года назад
Man, if i could give a thousand likes on this video. U deserve more. Thank you so much.
@pammy99
@pammy99 7 месяцев назад
PERSONAL BOOKMARK: 30:46 (Integration of Trigonometric Functions)
@muhammadsaqib3752
@muhammadsaqib3752 2 года назад
i do not have words to say you thanks by posting such a great video.
@astronix4720
@astronix4720 Месяц назад
58:44 to 59:32 error found, delta x is =1 so the area is also wrong since we count in 1s not 2s when using the number line and that messes up the multiplication for the area which is correctly=204 and not 240
@mugheesmehmood6882
@mugheesmehmood6882 3 года назад
Hallo sir i have question anything power is zero it's equal to one. So zero power equal?
@nainazehri4717
@nainazehri4717 3 года назад
Ohhhhh men you are great..... and you are doing such a nice job .... i wish .... i wish men i can do something for you ... !!
@ThackerayAudrey-j5g
@ThackerayAudrey-j5g 27 дней назад
Thompson Michael Brown Kevin Rodriguez Larry
@amanbayevakarakoz3070
@amanbayevakarakoz3070 5 месяцев назад
Thanks very much. I had been illed when my class was about learning integrals, also I had surgery at that time so that I can't go to the lessons for now only thanks to you I learned the integrals in 2 hours 😭😭😭😭😭🥳🥳🥰🥰🙂‍↕️🥹
@moahammad1mohammad
@moahammad1mohammad 2 года назад
"You can't learn calculus in 1 hour and 14 minutes!" They said Bitch, I got a test in 3 hours, watch me
@apollo5261
@apollo5261 2 года назад
> 'You can't integrate e^(x^2).' > Refuses to elaborate further. > Moves on. Chad.
@bbaa44x75
@bbaa44x75 11 месяцев назад
Man thank u soooooo much im a college student I was suffrieng until I watched this videos man I hope when u go to bed sleep with comfort because you saved thousands of people
@Fgygyi
@Fgygyi Месяц назад
Is this college level integration though??? Or you are using this video just to clear the basics? Just curious😅
@tvvt005
@tvvt005 4 месяца назад
52:17 hey but we could approximate with any number of rectangles depending on the width right, I don’t get that??
@zetjoanna1
@zetjoanna1 2 года назад
I have checked the comments before I post here. I am glad to spot the mistake in 30.34. Yuppie, I am not a stupid as i thought :-)
@sibahlenonjabulo5858
@sibahlenonjabulo5858 2 года назад
thank you so much mr JG your video help me a lot to pass my modules since I am doing electrical engineering. love your content so much.😍😘
@jedidiahkumor5753
@jedidiahkumor5753 2 месяца назад
I wish I can give more than one like, I would have given you million likes👍👍👍👍👍👍
@ChmingLiana
@ChmingLiana 5 месяцев назад
at 30:36 i think it's supposed to be -1/x^3 - 1/3*e^3x - 1/2 * ln| 5-4x | + C
@anbush0621
@anbush0621 Год назад
at 30:27 shouldn't the natural log function be negative 1/2ln instead of -2ln?
@paulveba6225
@paulveba6225 Год назад
yeah he dun goofed
@paulveba6225
@paulveba6225 Год назад
the 2 and the negative 4 simplify
@user-mi5xq8zj7u
@user-mi5xq8zj7u Год назад
My thoughts exactly
@xenon9717
@xenon9717 2 месяца назад
Thanks bro I havent taken calc yet but need to learn it for ap physics your stuff is a lifesaver
@ascaredmilipede7971
@ascaredmilipede7971 Год назад
First time on this channel, ive been falling behind for years because i didnt pay attention during highschool in covid. i accidentally made it into my dreamschool (got lucky) and im falling behind there too. This is the first time im actually studying in literal *years* (thanks "gifted" kid burnout) and i want to thank you for making this channel. Seriously, i will be back, more than once just because i probably fell behind again, thank you.
@jeha3436
@jeha3436 10 месяцев назад
hey, just wanted to say im the SAME as you. except I'm an idiot so my first time taking calculus i still thought i can wing it. needless to say i failed miserably so here i am... on this vid about to take calculus final exam for the second time...lol. wish me luck i really CANT fail again😭
@nandukrishna8142
@nandukrishna8142 Год назад
I like how this is basic and I'm struggling a lot 😢
@Jules.quinn05
@Jules.quinn05 7 месяцев назад
you made a mistake at 30:35 lol, the answer should have been -1/2 instead of 2
@AditiSingh-jz9qo
@AditiSingh-jz9qo 3 года назад
I AM SO THANKFUL FOR THIS QUALITY OF CONTENT!!....LOVE FROM INDIA❤❤
@Mathmaniac-vw9ip
@Mathmaniac-vw9ip 3 месяца назад
Saving and gooing to learn these stuff for my future college years
@taniania5415
@taniania5415 Год назад
at 25:55 why is there a 1/2 (where did it come from?) can someone enlighten me
@piepai7200
@piepai7200 Год назад
You can't imagine how much your videos helped me. Thanks man!
@MandaNovokmet
@MandaNovokmet 6 лет назад
You're incredible! Thank you so much, your videos seamlessly provide clarity, God bless!
@pola0614
@pola0614 2 года назад
It’s hard to know English as a non English man, but dude the math is life I breathe with it.
@reyza3640
@reyza3640 Год назад
As non-native speaker, i find it more helpful to watch calc or any subject with English rather my own national language 🤷
@reyza3640
@reyza3640 Год назад
As non-native speaker, i find it more helpful to watch calc or any subject with English rather my own national language 🤷
@isacoto948
@isacoto948 Год назад
seen, physics after hour 2 , 15 minutes , and in the half too
@pa1zy975
@pa1zy975 10 месяцев назад
Mistake spotted! 30:33 not -2 ln (5-4x) but -1/2 ln (5-4x). Welcome! Huge respect to the author for the videos and chanell, really love u!
@darylladriannesubido8945
@darylladriannesubido8945 Год назад
25:00 50:00 1:15:00 1:40:00 2:05:00 2:30:00
@iustintaga
@iustintaga 6 лет назад
MAN IM ONLY 9 AND IM DARING TO SKIP A FEW YEARS . THANKS!!!!!!!
@kingofthecosmos3253
@kingofthecosmos3253 5 лет назад
Nice, the basics are so important though. You need to have really good algebra and trig to fully understand the calculus. But you can do it
@aqua3890
@aqua3890 2 года назад
You're genius. I absolutely love you. You explain SOO clearly and your exaples are just top quality for beginners. No one explains as well as you.
@reginaldColley
@reginaldColley Год назад
Shouldn't the final answer should be -1/2ln|5-4x|+C. I was waiting for you to correct the answer as you normally do when you make a misstep. I'm working the problems as you go along and I've improved so much! Thank you! You are a big help, I tell all my Cal and Physics classmates about you!
@Morvonina1815
@Morvonina1815 Год назад
this is the most important channel in this app istg
@abdellah_0
@abdellah_0 3 месяца назад
(reminder) -> skipped until riemann sum (50:00)
@Booksarelife24
@Booksarelife24 6 лет назад
Thank you so much for all the videos that you make !! I've done so well in physics, chemistry, pre calc, calc, etc because of watching all your videos! Again, thank you so much!
@JJScene
@JJScene Год назад
At 41:00 You said 1/cosx is csc x and I was mega confused for 5 solid minutes.
@mduz1069
@mduz1069 6 лет назад
better than my teacher
@zainullahzain546
@zainullahzain546 2 года назад
I am the fane of u
@jonatha17
@jonatha17 4 месяца назад
Youve reallly helped me ace my calculus 1 final exam, I probably got a 100 plus extra credit
@nancymwewa9009
@nancymwewa9009 2 года назад
Am thinking about my Caucasian boyfriend Anthony in derivatives course...🎤🎵💍in Jesus name 🙏
@AustinSanders-f2e
@AustinSanders-f2e 5 месяцев назад
What?
@devondevon4366
@devondevon4366 4 года назад
7:04 (2x-3)(3x+1) 6x^2 -7x- 3 = 18 x^3/3 - 7x^2 - 3x + c Answer= 6x^3- 7x^2- 3x + c
@Meenimie
@Meenimie 6 месяцев назад
I am not sure but it seems like there's a notation typ0, notation mistake at 2:33:00 . Is it not the derivative of integration of ... rather than just integration of the function ... ?
@Meenimie
@Meenimie 6 месяцев назад
Yes, he took the notice of it later in the video at 2:35:15 .
@epiclegend9520
@epiclegend9520 2 года назад
32:52 😎i am grand king dedede with the hammer of grand king dedede
@JazzzyBby
@JazzzyBby 5 месяцев назад
You are an amazing human, thank you for sharing your knowledge on a platform that most people have access to. Your a real gem!
@silentcal275
@silentcal275 10 месяцев назад
Not only is this video helpfu for my exam tommorow, but your voice is actually very calming.
@AllDayErrDay.
@AllDayErrDay. 2 года назад
Are you sure you're not a physical chemistry teacher as well? The end of this video definitely has to do with what we are learning in physical chemistry right now.
@catman8623
@catman8623 2 года назад
I think you missed some steps throughout the video.
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