Fundamental Theorem of Calculus Part 1

  Рет қаралды 1,244,473

The Organic Chemistry Tutor

The Organic Chemistry Tutor

Күн бұрын

This math video tutorial provides a basic introduction into the fundamental theorem of calculus part 1. It explains how to evaluate the derivative of the definite integral of a function f(t) using a simple process. f(x) is a continuous function on the closed interval [a, b] and F(x) is the antiderivative of f(x). You need to be familiar with the chain rule for derivatives. This video contains plenty of examples and practice problems.
Antiderivatives:
• Antiderivatives
Basic Integration Problems:
• Basic Integration Prob...
Indefinite Integral:
• Indefinite Integral
Definite Integral:
• Definite Integral
Differential Equations:
• Finding Particular Sol...
_______________________________
Properties of Definite Integrals:
• Properties of Definite...
Rectilinear Motion Problems:
• Rectilinear Motion Pro...
Sigma Notation - Calculus:
• Summation Formulas and...
Riemann Sums - Area:
• Riemann Sums - Left En...
The Midpoint Rule:
• Midpoint Rule & Rieman...
________________________________
Finding Area - Limit Definition:
• Finding The Area Using...
Definite Integrals - Geometry:
• Evaluating Definite In...
Fundamental Theorem - Part 1:
• Fundamental Theorem of...
Fundamental Theorem - Part 2:
• Fundamental Theorem of...
Net Change Theorem:
• Net Change Theorem - C...
__________________________________
Final Exams and Video Playlists:
www.video-tuto...
Full-Length Videos and Worksheets:
/ collections

Пікірлер: 368
@TheOrganicChemistryTutor
@TheOrganicChemistryTutor Жыл бұрын
Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: kzbin.info/www/bejne/pKSbf2SLqr2fatk
@ismailamir6684
@ismailamir6684 4 жыл бұрын
I really wish I could reach through my screen and shake your hand. I learned more in this video in 5 minutes than a 2 hour lecture. You are a god-send to students. Keep up the good work!
@kumarkumar-hy4hd
@kumarkumar-hy4hd 4 жыл бұрын
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@imanemimi380
@imanemimi380 3 жыл бұрын
Your videos are very helpful. I dont know why some math teacher complicate things
@voodooblue6162
@voodooblue6162 3 жыл бұрын
@@imanemimi380 Some professors are great at solving math problems but they don’t know how to teach.
@B1SQ1T
@B1SQ1T 3 жыл бұрын
@@voodooblue6162 I feel like that's most of em...
@User-l3u6m
@User-l3u6m 2 жыл бұрын
@@B1SQ1T No
@sofzhuk1188
@sofzhuk1188 3 жыл бұрын
the reason this man teaches so well is because he stands in our shoes and looks at from our POV, professors refuse to ever do that. You've helped me pass chem. and calc., thanks a lot man!!
@liamsexton7758
@liamsexton7758 3 жыл бұрын
I swear OCT has been saving my ass for years now. I feel like you deserve a portion of my degree because of how much I've learned because of your videos. Seriously though, thank you.
@J.B24
@J.B24 3 жыл бұрын
What degree are you going for?
@Ahmed_IB
@Ahmed_IB 2 жыл бұрын
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@joerob5917
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@jacksonpotter8379
@jacksonpotter8379 Жыл бұрын
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@gavinrunner5279
@gavinrunner5279 Жыл бұрын
Same here. Carried through Calc I, Phys mechanics, and now carrying through calc II! Absolute W OCT.
@samlecookie2691
@samlecookie2691 7 ай бұрын
legit spent HOURS. hours. fumbling around trying to understand the notes from class (and i take thorough notes!!). watched your video and it instantly made sense. you just go through it slowly and walk us through it all step by step. you don't skip steps like a lot of professors do, which helps SO so so so much. i can't thank you enough. seriously. thank you.
@nateperry3839
@nateperry3839 4 жыл бұрын
I swear this man does not get enough credit for everything he does. I love you Mr. Organic Chemistry Tutor Man ❤️.
@kumarkumar-hy4hd
@kumarkumar-hy4hd 4 жыл бұрын
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@BillyBob-tr5cv
@BillyBob-tr5cv 5 жыл бұрын
Thank you Jesus Christ for your existence. I’ve been trying to wrap my head around this theorem for two days now and every damn video was finding F’(x) instead of differentiating it. I WATCHED 23 videos before I came across this one. My proctor kept mentioning how the number doesn’t exist and I was like “😐wtf do u mean it doesn’t exist?” And then u just kept working them out and explaining them and then BOOM finally clicked. Gosh dang thank u so much.
@gabrielcastano172
@gabrielcastano172 5 жыл бұрын
lol
@lucasargandona4658
@lucasargandona4658 4 жыл бұрын
Billy Bob
@blackplank2580
@blackplank2580 4 жыл бұрын
f'(x) is a sedative this is anti deravative
@kumarkumar-hy4hd
@kumarkumar-hy4hd 4 жыл бұрын
kzbin.info/www/bejne/r5C7qIShmM2qqKc
@jimhalpert9803
@jimhalpert9803 4 жыл бұрын
Teachers - 2 hours OCT - 11.5 minutes, take it or leave
@kumarkumar-hy4hd
@kumarkumar-hy4hd 4 жыл бұрын
kzbin.info/www/bejne/r5C7qIShmM2qqKc
@jaredtweed7826
@jaredtweed7826 3 жыл бұрын
And yet he still makes more sense than my teachers.
@lamaalmulhim3517
@lamaalmulhim3517 3 жыл бұрын
your name is cool
@hfwong7621
@hfwong7621 Жыл бұрын
MISTER JIM HALPERT
@WhiteDeathTrash
@WhiteDeathTrash 2 жыл бұрын
I got 95 /100 last semester and that’s all because of you . Respect ✊
@biohazard0482
@biohazard0482 6 ай бұрын
I am actually pulling a better mark in my calculus than what I did in High school math because of you dude, you are genuinely a god-send!
@elijahholloway3045
@elijahholloway3045 4 жыл бұрын
The first 3 minutes of this taught me more than 4 hour long calculus 2 lectures. Thank you so much. I've been trying to wrap my head around the idea of the variable switching from t to x, and you explained it very well.
@ProdNoself
@ProdNoself Жыл бұрын
Explains the concept simply and succinctly in the first few minutes and gets straight to application and tons of problems to test your abilities. Perfect.
@williama.9967
@williama.9967 4 жыл бұрын
Sir Organic Chemistry Tutor, I salute you for posting informative videos. You have saved high school and college students from failing their calculus I am in high school taking AP Calculus. I learn more by watching your videos than my high school teacher. I humbly request you to please post videos of AP Calculus FRQ's solutions. There are few videos on KZbin but you are undoubtedly the best calculus teacher on the net.
@Methylphenidate2803
@Methylphenidate2803 4 жыл бұрын
I am sooo grateful for your lectures, man. I am watching this video 10 minutes before my midterm, you saved my day!
@moreblessingmushohwe6506
@moreblessingmushohwe6506 3 жыл бұрын
I came here for clarification when I started doing this. I'm now back for revision for my calculus exam. I never cease to thank God for you!
@typeshift_
@typeshift_ 2 жыл бұрын
I’m only 14 and I’ve learned so much calculus and trig from this guy and thanks to him I’m ahead of the curve and am doing much better in school.
@BabaSphere
@BabaSphere Жыл бұрын
Integrals at 14? Bro what school system are you even in? That's insane, you're like what grade 9? I'm doing integrals at 18 in university holy
@yzoononononn
@yzoononononn Жыл бұрын
i donk its their school i think theyre just interested
@tata_suace
@tata_suace 11 ай бұрын
I'm pretty sure Asian schools do it at 13/14 js not so in-depth yet @@BabaSphere
@AlexanderMatuska-vx7mx
@AlexanderMatuska-vx7mx 10 ай бұрын
keep it up dude!
@gamingdiamond168
@gamingdiamond168 16 күн бұрын
@@BabaSphere i mean i was doing them at 15 so im guessing they were in a similar system and wanted to get ahead of the class
@harshitgupta6856
@harshitgupta6856 3 жыл бұрын
Me: Hmm, the fundamental theorem of calculus, sounds important, better understand this. Also me 24 minutes before the test
@aryanahuja9709
@aryanahuja9709 3 жыл бұрын
me 15 minutes before the test ; - ;
@thederpynarwhal4027
@thederpynarwhal4027 3 жыл бұрын
@@aryanahuja9709 during the test
@aryanahuja9709
@aryanahuja9709 3 жыл бұрын
@@thederpynarwhal4027 haha nice! Hope that went well lol
@shazee6608
@shazee6608 3 жыл бұрын
@@thederpynarwhal4027 After the test... 🥲
@Tyrant2457
@Tyrant2457 3 жыл бұрын
2 hrs before exam
@moreblessingmushohwe3500
@moreblessingmushohwe3500 4 жыл бұрын
WOW. My head had been spinning failing to grasp this from my lectures. You simplified everything!!! Thank you! You are heaven sent indeed!
@kumarkumar-hy4hd
@kumarkumar-hy4hd 4 жыл бұрын
kzbin.info/www/bejne/r5C7qIShmM2qqKc
@nishadr.7637
@nishadr.7637 3 жыл бұрын
This beats the 2 hour lecture I had from my professor who does nothing but read the textbook
@paulloaiza6208
@paulloaiza6208 3 жыл бұрын
I hate the textbook
@xv00
@xv00 6 жыл бұрын
Bro do you need a scholarship for all your work ?
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@dhruboisrak4782 5 жыл бұрын
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@laurynhillary6944
@laurynhillary6944 4 жыл бұрын
Yeah, I couldn't understand this in my 75 minute calculus class but it took me less than 15 minutes to get this.😀
@karenzheng8905
@karenzheng8905 4 жыл бұрын
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@fatsow3639
@fatsow3639 4 жыл бұрын
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@jolene7695
@jolene7695 2 жыл бұрын
With finals coming up I just wanna say thanks so much for all the help this semester you’re the reason I’m going to pass chemistry :D (and hopefully calculus but we’ll see)
@alexp5005
@alexp5005 Жыл бұрын
did you end up passing calculus?
@jolene7695
@jolene7695 Жыл бұрын
@@alexp5005 Passed Chem with a B but unfortunately I got a D in calc. I transferred schools and I’m taking it again but doing much better this time Lol
@alexp5005
@alexp5005 Жыл бұрын
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@XAyaDubX
@XAyaDubX 3 жыл бұрын
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@v9318
@v9318 Жыл бұрын
You saved my life man, literally was so depressed trying to understand what I missed reviewing. I'm literally in upper-div courses and I feel like I never covered Calc1/2 properly. I really mean it, thank you.
@billyrussell7542
@billyrussell7542 Жыл бұрын
If only my calc teacher was as concise, clear, and straightforward as you!
@leraheva8485
@leraheva8485 5 жыл бұрын
Thank you, your videos include very complete explanations and different levels of difficulty which is what make them worth it to watch and follow. And the pace and tone of voice are a plus 👏
@ajmksmsc2652
@ajmksmsc2652 Жыл бұрын
Thank you for saving me literally hours and possibly my entire grade 🙏
@shadouraito7935
@shadouraito7935 5 ай бұрын
Bro, thank you SO much. My AP Calculus test is in a couple of hours and this is helping me!
@afreenpreety7956
@afreenpreety7956 11 ай бұрын
man i was frustrated with my math course, but your videos are so helpful and easy and understandable, like i couldn't even have comprehended the topics i have been procrastinating about, but then i started watching all your videos and it became easy, thank you so much, truly
@user-or7ji5hv8y
@user-or7ji5hv8y 3 жыл бұрын
Your increasingly complicated examples are perfect way to explain this.
@JeanMarcSaintLaurent
@JeanMarcSaintLaurent 3 жыл бұрын
🙏Feel instantly safer when I have to learn a concept and see you've created a video for it.
@constanzatricallotis9308
@constanzatricallotis9308 12 күн бұрын
I was going insane spending 1 hour on a problem, watched your video and solved it in 5 minutes🙏
@toddchannel414
@toddchannel414 5 ай бұрын
I very much like how these problems are solved using both fundamental theorems of calculus. The method sheds light on both theorems simultaneously. There is, however, a way to do these by using only part 1 of the fundamental theorem. Not as elucidating but doable and, afterall, theorems should have the power to stand on their own.
@elconnero
@elconnero Жыл бұрын
When I am in need I can always count on OCT to pull through, I wish you nothing but the best in life. Thank you so much for making complicated lessons seem so simple when you explain it. Also to the rest of my fellow scholars we got this, just keep push through it!!!
@chickennoodlesoup6524
@chickennoodlesoup6524 4 жыл бұрын
i just watched a 2 hour lecture on this and i was so lost. But it finally makes sense now thank you!!!
@darianglendenning9058
@darianglendenning9058 3 жыл бұрын
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@abugslife2461
@abugslife2461 4 жыл бұрын
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@sameerhasan7376 4 жыл бұрын
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@AngelOrtiz-id1gb
@AngelOrtiz-id1gb 4 жыл бұрын
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@deirelmouke39
@deirelmouke39 Жыл бұрын
Learnt more in this video than in my teacher's 2 hour lecture! Thank you
@omarhegab
@omarhegab 11 ай бұрын
I can’t really express my gratitude to you, I accidentally missed this lecture at my college and thought that I was screwed.
@yanadanielyan5822
@yanadanielyan5822 4 жыл бұрын
just wanted to say thank you on behalf of me and all these people who you literally saved! Thank you!
@kumarkumar-hy4hd
@kumarkumar-hy4hd 4 жыл бұрын
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@phathiscreations8721 3 жыл бұрын
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@kumarkumar-hy4hd 4 жыл бұрын
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@IvanNathanael-j3n
@IvanNathanael-j3n 10 ай бұрын
Got a quiz coming next Wednesday and when I was in class, I was blank and couldn't understand but you just explain it so clear and simple, THANKS!!
@Mhmdmikail
@Mhmdmikail 3 жыл бұрын
my professor spent 2 LECTURES to explain this and I still didn't get it. Now I completely understand it thank you amazing human.
@Jonathan-vx7xi
@Jonathan-vx7xi 3 жыл бұрын
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@ShekinaKabala 5 жыл бұрын
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@38Fanda 5 жыл бұрын
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@kumarkumar-hy4hd
@kumarkumar-hy4hd 4 жыл бұрын
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@benkinerk6830 3 жыл бұрын
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@anaylytics8971 Жыл бұрын
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@boyer1583 2 жыл бұрын
Dude you are amazing you teach it so quick and it efficiently we don’t deserve you!
@parkyona5847
@parkyona5847 7 ай бұрын
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@sandravarona8507
@sandravarona8507 Жыл бұрын
Thank you for this. Our professor assumes we know what the antiderivative has to do with all this, skipping the important steps you did in-between. Now, I feel more confident!
@周一-z3b
@周一-z3b 7 ай бұрын
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@toldfable 3 жыл бұрын
I love how this guy explains things
@zizou2076
@zizou2076 Жыл бұрын
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@liamdupeyron9669
@liamdupeyron9669 2 жыл бұрын
I really thank you so much, I just learned my entire semester of calculus with you in a week🤞🤞. You are the 🐐 🐐
@rafepisarik5967
@rafepisarik5967 Жыл бұрын
Sometimes my prof makes so little sense I just start watching your vids on the same topic in the middle of the lecture so I can actually grasp the concept
@xStayCurious
@xStayCurious Жыл бұрын
Going on vacation before covering this module in my online class and I was really worried it was going to be way more difficult than this since the textbook was so convoluted. You're a godsend.
@user-zg5oo5yk2v
@user-zg5oo5yk2v 2 жыл бұрын
This video is the only reason I'm going to pass my Calc 1 final today
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@ryanrebolledo3697 Жыл бұрын
THIS MAN SHOULD WIN A NOBLE PRIZE FOR CARRYING AND INSPIRING STEM STUDENTS ACROSS THE GLOBE 🤩
@iwonderhow629
@iwonderhow629 2 жыл бұрын
I am really grateful that it is existing I am learning brilliantly through these videos indeed
@wongaasive4080
@wongaasive4080 6 жыл бұрын
good lecture i think you Sir should come here in south africa
@kumarkumar-hy4hd
@kumarkumar-hy4hd 4 жыл бұрын
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@maitha9064
@maitha9064 3 жыл бұрын
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@truongngo638
@truongngo638 10 ай бұрын
you are extremely structured and clear, great teaching
@anandramaswamy2416
@anandramaswamy2416 2 жыл бұрын
Thank you so much your videos are so much better than what my calculus teacher showcases
@keymed1935
@keymed1935 4 жыл бұрын
JFC thank you so much for this video. In the first four minutes I finally understood the lesson that my teacher spent 50 minutes
@16maze
@16maze 2 жыл бұрын
omg, i could never understand this back in my college days and i didnt realize it was this easy. visually seeing being broke down is helpful. i did a handful of problems and i got all of them right wth!!! ha ha ha ha thank you for this.
@rafyyd461
@rafyyd461 10 ай бұрын
I cannot thank you enough. May God bless you.
@rmula5335
@rmula5335 4 жыл бұрын
Till the second last example, I was really iffy and still confused. But, I tried the last example, and I got it! Thank you!
@karlautrera7123
@karlautrera7123 3 жыл бұрын
you might just be the reason i am not failing AP calc rn thank you for existing
@juliatrees8201
@juliatrees8201 2 жыл бұрын
Very thorough explanation! Thank you for the help!!!
@lazyonigiri5665
@lazyonigiri5665 3 жыл бұрын
ur voice is so relaxing
@genogurirab8061
@genogurirab8061 3 жыл бұрын
You are the king the one and only king
@arunvijay7013
@arunvijay7013 3 жыл бұрын
Thank you sooo much for your help OCT, this concept was elusive for the past week and i was stressing out over the upcoming finals but you came in clutch:)
@bbqchicken8681
@bbqchicken8681 Жыл бұрын
very incredible video. I first found you while reviewing hte unit circle, and you were immensly helpful. now im the day before the ap calc exam knowing almost nothing about integrals watching this video
@austinschwartz7424
@austinschwartz7424 2 жыл бұрын
organic chemistry teacher is literally every engineer's best freind
@MLDawn
@MLDawn Жыл бұрын
Brilliant man! Really cool! What is the meaning of taking the derivative with respect to the bounds of the integral, in plain English? Is there an intuitive explanation?
@bb-xd1bb
@bb-xd1bb 2 жыл бұрын
watching this while trying not to cry right now. thank you for the video.
@augustisalman8027
@augustisalman8027 8 ай бұрын
The first min it’s easier to say that the integral g(x) has anti derivation G(x) and now by the theorem G’(x)=g(x). And if is composite function g(x) has anti derivative wich will be composite function G(f(x)) than the G’(f(x))•f’(x)=g(x). Chainrule.
@rahi7339
@rahi7339 4 жыл бұрын
What is your name broo? You deserve all the praise there is..you are my teacher
@parmvirsidhu3420
@parmvirsidhu3420 4 жыл бұрын
Walter
@linbrian388
@linbrian388 Жыл бұрын
thanks for the tutorial, it's really helpful and comprehensible
@jawwad4020
@jawwad4020 2 жыл бұрын
Thank you so much bro! I have Linear algebra exam tomorrow, and I totally forgot this!
@spookyminion
@spookyminion 4 жыл бұрын
Forgot everything over the summer from AP Calc AB, great refresher for BC!
@kumarkumar-hy4hd
@kumarkumar-hy4hd 4 жыл бұрын
kzbin.info/www/bejne/r5C7qIShmM2qqKc
@Jawahir-l5u
@Jawahir-l5u 2 жыл бұрын
Now I feel lucky because I found this chanea. men you are amazıng 💛💛💛
@christophereslais2433
@christophereslais2433 2 жыл бұрын
Dude saving my college life.. thank you
@harumeoww
@harumeoww 8 ай бұрын
thank you so much for your explaination i finally get it how its work
@itSinger
@itSinger 2 жыл бұрын
Straightforward af .. thank you
@sarafeliciano3088
@sarafeliciano3088 3 жыл бұрын
Short and sweet as per usual! Thanks!
@JesusMartinez-zu3xl
@JesusMartinez-zu3xl 2 жыл бұрын
wow! thank you so much once again!!
@kenzatazrout7512
@kenzatazrout7512 2 жыл бұрын
YOU ARE A LIFE SAVER!!!!!!!!!!!!!!!!
@Trynnagetmydegree__
@Trynnagetmydegree__ 11 ай бұрын
Omggg thank you, I literally did not know what the hell was going on in class...thank you man thank youuuu
@milespq5561
@milespq5561 3 жыл бұрын
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@thea-levelmathteacher7673
@thea-levelmathteacher7673 2 жыл бұрын
This guy is really good.
@negar1370
@negar1370 2 жыл бұрын
Thank you so much. saving me rn
@marimuthu335
@marimuthu335 4 жыл бұрын
The way of your teaching can be easily understood by us.Thank you veru much sir
@stuffystuff1661
@stuffystuff1661 2 жыл бұрын
10:14 ah I see, the antiderivatives are taken similarly to other derivative rules, in the sense that they're defined only when the the input is solely x, as soon as we get anything else, we must use the chain rule to differentiate it. got it thank u
@holymortuary
@holymortuary Жыл бұрын
I literally love you so much
@prestoncrase1531
@prestoncrase1531 2 жыл бұрын
This man never misses
@snehalprachi1360
@snehalprachi1360 Жыл бұрын
thank u..saved me ... 🙏so concise..
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