Finding The Area Under The Curve Using Definite Integrals - Calculus

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  • Опубликовано: 26 авг 2024
  • This calculus video tutorial explains how to find the area under the curve using definite integrals in terms of x and y.
    Antiderivatives: • Antiderivatives
    U-Substitution - Indefinite Integrals:
    • How To Integrate Using...
    1st Order Differential Equations:
    • Separable First Order ...
    Initial Value Problem:
    • Initial Value Problem
    Area Between Two Curves:
    • Area Between Two Curves
    _________________________________
    Disk and Washer Method:
    • Disk & Washer Method -...
    Volume By The Shell Method:
    • Shell Method - Volume ...
    Volume By Cross Sections:
    • Volumes Using Cross Se...
    Arc Length Calculus Problems:
    • Arc Length Calculus Pr...
    Surface Area of Revolution:
    • Surface Area of Revolu...
    _________________________________
    Work Problems - Calculus:
    • Work Problems - Calculus
    Integration By Parts:
    • Integration By Parts
    Trigonometric Integrals:
    • Trigonometric Integrals
    Trigonometric Substitution:
    • Trigonometric Substitu...
    Integration By Partial Fractions:
    • Integration By Partial...
    __________________________________
    Calculus Final Exam and Video Playlists:
    www.video-tuto...
    Full-Length Videos and Worksheets:
    / collections

Комментарии • 246

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  9 месяцев назад +17

    Full-Length Calculus Videos: www.patreon.com/MathScienceTutor
    More Calculus Videos: www.patreon.com/MathScienceTutor/collections
    Calculus Final Exam: www.video-tutor.net/

  • @usernametaken4023
    @usernametaken4023 8 месяцев назад +71

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  • @Just_Some_Guy_with_an_Eyepatch
    @Just_Some_Guy_with_an_Eyepatch 9 месяцев назад +66

    I haven't watched this video, as it's beyond where I'm at lol. I'm currently studying GED math. But I just wanted to come to your latest video so I can tell you how amazing you are as a teacher / tutor. I have scoured the internet (including RUclips) and have watched many videos. Yours are BY FAR, the most informative and educating that I have found. Your explanations are concise but sensible, and easy for new students to understand. The way you teach math is always the most efficient way to find the answer, while other teachers will make things overly convoluted for newer students. And you provide what I think is the most important thing, that is plenty of examples and practice problems. Thank you so much for providing free access to your content. Truly appreciate you.

    • @georgesadler7830
      @georgesadler7830 8 месяцев назад

      Please check out Professor Leonard/ Professor V videos on the Calculus Sequence.

  • @user-di9lp3ys6q
    @user-di9lp3ys6q 8 месяцев назад +41

    Hey just want to say thanks for all the work you put into this channel I passed my ged math test today and your channel really helped me to understand the most complex problems. You’re really good at explaining complicated problems. Thanks

    • @dereksavastano
      @dereksavastano 8 месяцев назад +5

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    • @user-di9lp3ys6q
      @user-di9lp3ys6q 8 месяцев назад +3

      ⁠@@dereksavastano thanks brother. I will keep putting the work to pass my other exams. 🙏🏼

    • @dereksavastano
      @dereksavastano 8 месяцев назад

      @@user-di9lp3ys6q Thats great to hear bro, You got this. Just do the best you can, and keeping getting 1% Better everyday👑
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    • @AthleticAddictionn
      @AthleticAddictionn 8 месяцев назад +3

      Bro does NOT need 5$ lil bro 😭🙏

  • @simon1904
    @simon1904 5 месяцев назад +151

    Exam in 2 hours 🫠

  • @VernitaSimpson-fc2vv
    @VernitaSimpson-fc2vv 7 месяцев назад +11

    This is a must-watch for students looking to conquer calculus challenges. The video's straightforward approach and practical examples demystify the process, making it easier for anyone to understand and apply definite integrals in finding the area under a curve.

  • @justcutemeow9512
    @justcutemeow9512 9 месяцев назад +146

    Timely, finals tomorrow 😭

  • @LouejaY
    @LouejaY 8 месяцев назад +7

    Thank you Organic Chemist. You've been my saviour when I was reviewing for LET. And now, I passed. You really created a great impact on me. Thank you for making Math questions easy to understand.🙏😭

  • @Harry-vc7fj
    @Harry-vc7fj 9 месяцев назад +11

    Your channel has turned my life around solely due to the fact i now watch math videos for fun (somehow). You are an angel

  • @mattlopez487
    @mattlopez487 9 месяцев назад +8

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    I love you papi chulo

  • @taylor-7566
    @taylor-7566 4 дня назад

    I think this channel might be one of the reasons I went from hating maths to loving it. Thank you

  • @johndumaguing5978
    @johndumaguing5978 9 месяцев назад +8

    oh my god sir i don't know what i'm gonna do as an engineering student if you didn't exist in my life. you've helped me a lot through my calculus journey tommorow's my calculus 2 exam i feel confident and hopefully ill pass this semester.

    • @Methintic
      @Methintic 8 месяцев назад +1

      How was it? 👀

    • @johndumaguing5978
      @johndumaguing5978 8 месяцев назад

      I passed, but my mathematics journey is far from over. I'll be taking Differential Equations the following semester.@@Methintic

    • @johndumaguing5978
      @johndumaguing5978 6 месяцев назад

      @@Methintic I passed and currently taking my Differential equations/calculus 3

    • @Mathmaniac-vw9ip
      @Mathmaniac-vw9ip 2 месяца назад +1

      how was it??

    • @johndumaguing5978
      @johndumaguing5978 2 месяца назад

      @@Mathmaniac-vw9ipI passed Calculus 1 and 2 up to Differential Equations. I'm very proud of myself for surviving until now. Sir organic has been a significant part of my college journey. I'm turning 3rd year next semester and I'll continue to do my best to survive and achieve that engineer title.🙌🙌

  • @nivhana3151
    @nivhana3151 21 день назад

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  • @ihavenopityforthemajority
    @ihavenopityforthemajority 9 месяцев назад +8

    Perfect timing, im learning this in class rn

  • @georgesadler7830
    @georgesadler7830 8 месяцев назад +2

    Professor Organic Chemistry Tutor, thank you for an exceptional video/lecture on Finding the Area Under a Curve using Definite Integrals in Calculus Two. From the video, the best way to find the Area under a Curve is to graph the function(s) and then calculate the required Area. Thanks to the viewers for finding and correcting the errors in this video.

  • @hongxiyingvernice8733
    @hongxiyingvernice8733 14 дней назад +1

    thank you for carrying my math youre THE GOAT when i get out to work ill donate my first paycheck ($15) to you. I AM INDEBTED TO YOU JUST KNOW EACH TIME YOU GO TO SLEEP SOMEONE OWES THEIR ENTIRE GPA TO YOU

    • @nicolelee6592
      @nicolelee6592 14 дней назад

      Thank you organic man I stopped listening to class and watched your videos instead. GPA INCREASED!

  • @nessap2706
    @nessap2706 3 месяца назад +4

    Thanks bro🙏🏽. Finals r tmr. Wish me luck

  • @NoraAbdullah-2110
    @NoraAbdullah-2110 2 месяца назад +1

    Mannnnn in our book they are crazily crazy u teaches me how to solve this that can take me 5 minutes at least to the possibility to solve it in less than a minute and all that I learned in just 5 minutes huge big Ty truly

  • @mr_offwall
    @mr_offwall 4 дня назад

    taking calc 2 and I desperately need a refresher and your saving my life

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    @eranga2814 11 дней назад

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    I just stop going to class and watch this guy and my grade got better lol

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    @potatozamanco4550 4 месяца назад +5

    Time to study for a pass / fail exam that starts in 3.5 hours

    • @data.dash78
      @data.dash78 4 месяца назад

      1 hour and i dont understand a thing

    • @benschool4760
      @benschool4760 27 дней назад

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  • @a.n.584
    @a.n.584 8 месяцев назад +1

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  • @Gd_Monsterforce
    @Gd_Monsterforce 4 месяца назад

    Bro thank you even though I’m not in middle school or high school I’m interested in calculus and I’ve been bouncing from videos until I watched this one. Peace ✌️

  • @eiikhey9480
    @eiikhey9480 5 месяцев назад

    As for this will be our in coming topic in Bascal (Basic Calculus), i'd like to mark this video to showcase my appreciation to the subject and for my teacher.
    "SIR, GIGS, I'M HERE ADVANCE STUDYING!!"

  • @user-gz4ke6cr9o
    @user-gz4ke6cr9o 8 месяцев назад +2

    my calculus professor said that if the if the shaded area is under the x-axis, it contributes negatively to the integral so then for 11:26 the area would be 0 but you are saying this isn't the case? why?

    • @eeveescloset
      @eeveescloset 8 месяцев назад +1

      You are correct. He accidentally did the proof for functions that are even (he even said BEFORE he started doing the work that the answer was 0).
      In reality, if a function is odd like y = f(x), and you want to find the area between points -4 and 4, it will always be 0 since there is an equal amount of "negative area" contributed with "positive area".
      HOWEVER, if the function is an even function, like y = x^2, and you want to find the area between -4 and 4 (equally opposite bounds), you can just find ONE side and multiply by 2. I think the Organic Chemist did the wrong proof on accident, but yes you are right, the problem at 11:26 is indeed equal to 0, not 16.

  • @Prosper.
    @Prosper. 8 месяцев назад

    This video came out in the perfect time. Than you, Mr The Organic Chemist!

  • @austinlarange6328
    @austinlarange6328 9 месяцев назад +1

    You came in clutch i needed this topic today. Thank you

    • @H2PO
      @H2PO 9 месяцев назад

      facts it’s like he knew i needed this

  • @user-rc1kp5tr2z
    @user-rc1kp5tr2z 4 месяца назад

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    X=f(y) 😌

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    @jaysonmatthewramos4096 9 месяцев назад

    My favorite math channel

  • @shaydenleslie5405
    @shaydenleslie5405 9 месяцев назад

    Literally posted just in time for my exam tomorrow

  • @wakeupmrwest5694
    @wakeupmrwest5694 8 месяцев назад +2

    i have final january 19😭😭 wish me some luck

  • @roxyo2119
    @roxyo2119 9 месяцев назад

    Thanks for helpings me understanding this topic.

  • @wafikhwijeh4006
    @wafikhwijeh4006 9 месяцев назад

    I always need your problem's solutions ❤ thanks so much for you sir.

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    This guy is a savior

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    In the world of boys, you're a gentleman

    • @ninjapirate123
      @ninjapirate123 8 месяцев назад

      Because he's a tutor who teaches a wide range of subjects

  • @pavlejovan5557
    @pavlejovan5557 8 месяцев назад +2

    Hi, could you do more differential equations, that would help a lot

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    @williamsparano 8 месяцев назад +2

    I love you bro

  • @NimishP
    @NimishP 8 месяцев назад

    Quick twist -
    In equation -x^2 + 6x -8 how do we find the value of y that would yield area under the curve equals to 4. Currently area is calculated with lower Y bound equal to 0.

  • @lauraoliveira9679
    @lauraoliveira9679 8 месяцев назад +1

    Can you do a video on LaPlace Transform please!

  • @scgunship
    @scgunship 9 месяцев назад +1

    Another great video

  • @Panaceas19
    @Panaceas19 6 месяцев назад

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    It's hard to find your videos man!!!!

  • @RebeccaMokone-pc1uj
    @RebeccaMokone-pc1uj 3 месяца назад

    Thank you so much

  • @jayprados1089
    @jayprados1089 4 месяца назад

    Exam in 1hour 55 mins and I’ve already reviewed this but panic is getting to me 😂

  • @ghulamqadir1738
    @ghulamqadir1738 День назад

    sir which software you use for videos

  • @Tgore2
    @Tgore2 2 месяца назад

    I am not understanding how the (8/3) became positive since (-2)^3 is negative then the outside has two negatives to distribute because (0-f(2)) also has an negative outside of it because A2-A1

  • @Axion29
    @Axion29 9 месяцев назад +1

    This is amazing

  • @jemightkoranteng1487
    @jemightkoranteng1487 4 месяца назад

    Find the curve bounded by the positive x,y axes and the curve y=4-×^2

  • @camerondoi2408
    @camerondoi2408 7 месяцев назад

    What do we achieve when calculating for F(a) and F(b)?

  • @dilminethmini00
    @dilminethmini00 9 месяцев назад +1

    Thank you sir ❤

  • @jemightkoranteng1487
    @jemightkoranteng1487 4 месяца назад

    Calculate the area enclosed by y=1÷×^2-1 and y=3

  • @felixcat4346
    @felixcat4346 9 месяцев назад

    Thanks for posting.

  • @jaywood2318
    @jaywood2318 7 месяцев назад

    Hey could we please look at something like 5-3e ^-2t between 2 and 4 please i understand this = 1/a e (^at) +c but im a little stumped on how to work this out completely? thank you.

  • @H2PO
    @H2PO 9 месяцев назад

    Do volume next again please🙏🏽😊

  • @kainoahottendorf9441
    @kainoahottendorf9441 8 месяцев назад

    you are clutch organic chemisty tutor.

  • @multifanheresostopfanwars3996
    @multifanheresostopfanwars3996 8 месяцев назад

    Tomorrow's my quiz, and the next day is the final exam. I hope I understand this.

  • @cricketdrillabhilash8203
    @cricketdrillabhilash8203 8 месяцев назад

    Love from India!!

  • @bishiritv197
    @bishiritv197 9 месяцев назад

    Please make a video on table of specifications

  • @wafikhwijeh4006
    @wafikhwijeh4006 9 месяцев назад

    Also i need mor physics problems if that is possible.... Thanks sir

  • @RobleUmer
    @RobleUmer 8 месяцев назад +1

    U smart I ❤u

  • @sweethomealabama893
    @sweethomealabama893 9 месяцев назад +2

    FACE REVEAL

  • @gyrozeppeli5246
    @gyrozeppeli5246 8 месяцев назад

    Hi, can you make a video on Exact Differential Equation plsss🙏

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    @janfilgabrielbalasabas6390 2 месяца назад

    Naa nasad mo dani 😂

  • @abnerbasmayor2355
    @abnerbasmayor2355 2 месяца назад

    Hello., i think the final answer in no. 5 is wrong

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    @aleezalovesyou001 8 месяцев назад

    Please please pleaseeee do a video on genetic mapping. IM STRUGGLING

  • @roxyo2119
    @roxyo2119 9 месяцев назад

    Excellent Tutor.

  • @MarvelousRichard
    @MarvelousRichard 19 дней назад +1

    Exam in 5 days

  • @DebrahKwamboka
    @DebrahKwamboka 8 месяцев назад

    The lectures are very nice but try bringing something complex atleast

  • @yourmomjamie3449
    @yourmomjamie3449 8 месяцев назад +1

    Final in an hr 😭

  • @AshishThakur-hq2gt
    @AshishThakur-hq2gt 8 месяцев назад

    Thanks❤❤

  • @Hiboox
    @Hiboox 8 месяцев назад

    Pls how can i make a video like that? Black board, the writing and everything! If sm1 know pls help 😊

  • @heni.8618
    @heni.8618 9 месяцев назад +2

    Should I learn integrals before watching this?

  • @kelvinboateng1939
    @kelvinboateng1939 5 месяцев назад

    At 17:09 you wrote 61 instead of 64

  • @user-js7ei6op3l
    @user-js7ei6op3l 2 месяца назад

    Legend

  • @RanaMahabatKhan
    @RanaMahabatKhan Месяц назад

    Preparing Exam in 5 hours 😭

  • @maggiee6988
    @maggiee6988 8 месяцев назад

    God bless you

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    @Zeeshankhan-ip7fz 7 месяцев назад

    99% people watching before the day of exam 😢😅

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    @dilophosaurusking7437 4 месяца назад

    Keep me in your prayers men
    Exam in >T-24hr

  • @peterpumpkineater6928
    @peterpumpkineater6928 8 месяцев назад

    3:35 now we use the pawwrrrr?? You skipped a huge part

  • @rubabhasan8750
    @rubabhasan8750 7 месяцев назад

    What is your name?

  • @RobleUmer
    @RobleUmer 9 месяцев назад

    Why Marko working with ansar😅

  • @catshome2149
    @catshome2149 3 месяца назад

    27:32 bord

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    @RobleUmer 9 месяцев назад

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    @user-tr8hh8wp7e 8 месяцев назад

    CLUTCH

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    @faisalmohamed4595 7 месяцев назад

    الحمدلله

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    @RobleUmer 9 месяцев назад

    U talking to tigis nice interwiw😅😅😅

  • @Jasmine-lg6xb
    @Jasmine-lg6xb 8 месяцев назад

    Tnx

  • @RobleUmer
    @RobleUmer 9 месяцев назад

    We can t compete like tat u kid 😅😅

  • @RobleUmer
    @RobleUmer 9 месяцев назад

    ❤ the show😅

  • @RobleUmer
    @RobleUmer 9 месяцев назад

    😮makina going wrong location why

  • @RobleUmer
    @RobleUmer 9 месяцев назад

    If u r afraid. U should stoop people waiting😊

  • @Rabibro_65
    @Rabibro_65 Месяц назад

    Calculus is hard

  • @RobleUmer
    @RobleUmer 9 месяцев назад

    Who drive those drones not me 😊😊😊

  • @RobleUmer
    @RobleUmer 9 месяцев назад

    Still afraid of answar😅

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    U say in internet but makina no coming

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    See the needs forget hay kid😅😅😅

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    @RobleUmer 9 месяцев назад

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    @marcandreiaustria1940 27 дней назад

    Cappal