Finding The Area Under The Curve Using Definite Integrals - Calculus

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-tutor.net/
Full-Length Videos and Worksheets:
/ collections

Пікірлер: 220

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor6 ай бұрын

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

  • @thatomofolo452

    @thatomofolo452

    6 ай бұрын

    Help 🖐️🖐️

  • @livefordethalmuttaqi5332

    @livefordethalmuttaqi5332

    5 ай бұрын

    Name please?

  • @usernametaken4023
    @usernametaken40235 ай бұрын

    You really are the one person I know who can call himself a tutor. You're the best teacher I've ever had.

  • @Just_Some_Guy_with_an_Eyepatch
    @Just_Some_Guy_with_an_Eyepatch6 ай бұрын

    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 KZread) 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

    5 ай бұрын

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

  • @justcutemeow9512
    @justcutemeow95126 ай бұрын

    Timely, finals tomorrow 😭

  • @alphagreen9331

    @alphagreen9331

    6 ай бұрын

    Monday's the day 💔😭

  • @drifter5519

    @drifter5519

    6 ай бұрын

    Gud luck then💀

  • @chillycanuck2566

    @chillycanuck2566

    6 ай бұрын

    Real timely cause I just learned this and I do not get it

  • @VonaiChindera

    @VonaiChindera

    4 ай бұрын

    Today😢

  • @AbdulAhad-uq3ye

    @AbdulAhad-uq3ye

    4 ай бұрын

    Monday's the day 💔 😭 (2)

  • @simon1904
    @simon19042 ай бұрын

    Exam in 2 hours 🫠

  • @Nasus86

    @Nasus86

    Ай бұрын

    Gl

  • @selinasaidumarova06

    @selinasaidumarova06

    Ай бұрын

    How you did 😭

  • @Abel-wt9qm

    @Abel-wt9qm

    Ай бұрын

    Me in 4 hrs😅

  • @Trendingthings...

    @Trendingthings...

    Ай бұрын

    If do it before 3 4 hour you become depressed

  • @genericrandomness3455

    @genericrandomness3455

    Ай бұрын

    Exam in 1 hour 😢

  • @user-di9lp3ys6q
    @user-di9lp3ys6q6 ай бұрын

    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

    6 ай бұрын

    Hey bro, I’m really proud of your accomplishment. You’re doing a great thing by putting your future self in a position to succeed. As a college student, I know a ton of different people in a different majors use this guys videos. Dream big and Be the change you want to see in the world. With Hard Work comes Sacrifice, and with Sacrifice comes Success.

  • @user-di9lp3ys6q

    @user-di9lp3ys6q

    5 ай бұрын

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

  • @dereksavastano

    @dereksavastano

    5 ай бұрын

    @@user-di9lp3ys6q Thats great to hear bro, You got this. Just do the best you can, and keeping getting 1% Better everyday👑 Good Luck, & Always keep Fighting brother.

  • @AthleticAddictionn

    @AthleticAddictionn

    5 ай бұрын

    Bro does NOT need 5$ lil bro 😭🙏

  • @VernitaSimpson-fc2vv
    @VernitaSimpson-fc2vv4 ай бұрын

    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.

  • @nessap2706
    @nessap2706Ай бұрын

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

  • @user-sg9no1wm3h
    @user-sg9no1wm3h5 ай бұрын

    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.🙏😭

  • @mattlopez487
    @mattlopez4876 ай бұрын

    Just wanted to let you know you've been tutoring me through college! I love you papi chulo

  • @georgesadler7830
    @georgesadler78305 ай бұрын

    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.

  • @Harry-vc7fj
    @Harry-vc7fj6 ай бұрын

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

  • @dylancolbae1386

    @dylancolbae1386

    Ай бұрын

    😂

  • @nopityforthemajority9375
    @nopityforthemajority93756 ай бұрын

    Perfect timing, im learning this in class rn

  • @johndumaguing5978
    @johndumaguing59786 ай бұрын

    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

    5 ай бұрын

    How was it? 👀

  • @johndumaguing5978

    @johndumaguing5978

    5 ай бұрын

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

  • @johndumaguing5978

    @johndumaguing5978

    3 ай бұрын

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

  • @Prosper.
    @Prosper.5 ай бұрын

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

  • @wafikhwijeh4006
    @wafikhwijeh40066 ай бұрын

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

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    @a.n.5846 ай бұрын

    I wanted to come to your latest video and say how much I am grateful to you. You are the best I love you so much THANK YOU

  • @Tshego_Les
    @Tshego_Les6 ай бұрын

    Bro just saved my semester. Big ups

  • @roxyo2119
    @roxyo21196 ай бұрын

    Thanks for helpings me understanding this topic.

  • @austinlarange6328
    @austinlarange63286 ай бұрын

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

  • @H2PO

    @H2PO

    6 ай бұрын

    facts it’s like he knew i needed this

  • @eiikhey9480
    @eiikhey94802 ай бұрын

    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-gm4de8ub2t
    @user-gm4de8ub2t3 ай бұрын

    When we try to find the area under the graph for solution of x, as in x = y^2 for example, do we change it to y = √x so we solve for y? Because I went to Symbolab (site for mathematics) and it solved for y. But it also showed the graph as it is on the y axis even though it solved for y? Why do we solve for y in this case? Should not we solve for x?

  • @jaywood2318
    @jaywood23184 ай бұрын

    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.

  • @jaysonmatthewramos4096
    @jaysonmatthewramos40966 ай бұрын

    My favorite math channel

  • @felixcat4346
    @felixcat43466 ай бұрын

    Thanks for posting.

  • @maggiee6988
    @maggiee69886 ай бұрын

    This guy is a savior

  • @scgunship
    @scgunship6 ай бұрын

    Another great video

  • @potatozamanco4550
    @potatozamanco4550Ай бұрын

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

  • @data.dash78

    @data.dash78

    Ай бұрын

    1 hour and i dont understand a thing

  • @dilminethmini00
    @dilminethmini006 ай бұрын

    Thank you sir ❤

  • @MelakM-or7ff
    @MelakM-or7ffАй бұрын

    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 ✌️

  • @eklavyatandon6963

    @eklavyatandon6963

    Ай бұрын

    same

  • @camerondoi2408
    @camerondoi24085 ай бұрын

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

  • @ARCGAMING2944
    @ARCGAMING29446 ай бұрын

    This is amazing

  • @RebeccaMokone-pc1uj
    @RebeccaMokone-pc1uj14 күн бұрын

    Thank you so much

  • @user-rc1kp5tr2z
    @user-rc1kp5tr2zАй бұрын

    Video after 25 min that's what I was searching for thanks X=f(y) 😌

  • @NimishP
    @NimishP6 ай бұрын

    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.

  • @pavlejovan5557
    @pavlejovan55576 ай бұрын

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

  • @shaydenleslie5405
    @shaydenleslie54056 ай бұрын

    Literally posted just in time for my exam tomorrow

  • @zacerickson2675
    @zacerickson26752 ай бұрын

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

  • @AshishThakur-hq2gt
    @AshishThakur-hq2gt6 ай бұрын

    Thanks❤❤

  • @lauraoliveira9679
    @lauraoliveira96796 ай бұрын

    Can you do a video on LaPlace Transform please!

  • @cricketdrillabhilash8203
    @cricketdrillabhilash82035 ай бұрын

    Love from India!!

  • @Panaceas19
    @Panaceas193 ай бұрын

    Sir!!!please make the topic wise playlists ! Please... It's hard to find your videos man!!!!

  • @bishiritv197
    @bishiritv1976 ай бұрын

    Please make a video on table of specifications

  • @user-gz4ke6cr9o
    @user-gz4ke6cr9o6 ай бұрын

    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

    5 ай бұрын

    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.

  • @H2PO
    @H2PO6 ай бұрын

    Do volume next again please🙏🏽😊

  • @williamsparano
    @williamsparano5 ай бұрын

    I love you bro

  • @gyrozeppeli5246
    @gyrozeppeli52466 ай бұрын

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

  • @jemightkoranteng1487
    @jemightkoranteng1487Ай бұрын

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

  • @wakeupmrwest5694
    @wakeupmrwest56945 ай бұрын

    i have final january 19😭😭 wish me some luck

  • @Hiboox
    @Hiboox6 ай бұрын

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

  • @roxyo2119
    @roxyo21196 ай бұрын

    Excellent Tutor.

  • @kainoahottendorf9441
    @kainoahottendorf94415 ай бұрын

    you are clutch organic chemisty tutor.

  • @wafikhwijeh4006
    @wafikhwijeh40066 ай бұрын

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

  • @maggiee6988
    @maggiee69886 ай бұрын

    God bless you

  • @multifanheresostopfanwars3996
    @multifanheresostopfanwars39965 ай бұрын

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

  • @RobleUmer
    @RobleUmer6 ай бұрын

    U smart I ❤u

  • @jemightkoranteng1487
    @jemightkoranteng1487Ай бұрын

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

  • @RobleUmer
    @RobleUmer6 ай бұрын

    ❤ the show😅

  • @aleezalovesyou001
    @aleezalovesyou0016 ай бұрын

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

  • @jayprados1089
    @jayprados1089Ай бұрын

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

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    @pricellapal4836 ай бұрын

    In the world of boys, you're a gentleman

  • @ninjapirate123

    @ninjapirate123

    6 ай бұрын

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

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    @user-tr8hh8wp7e5 ай бұрын

    CLUTCH

  • @Jasmine-lg6xb
    @Jasmine-lg6xb5 ай бұрын

    Tnx

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    @DebrahKwamboka5 ай бұрын

    The lectures are very nice but try bringing something complex atleast

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    What is your name?

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    @RobleUmer6 ай бұрын

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    @faisalmohamed45955 ай бұрын

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    @catshome214913 күн бұрын

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    @RobleUmer6 ай бұрын

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    @Sophisticatedesire6 ай бұрын

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    @monkkk111

    6 ай бұрын

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  • @Sophisticatedesire

    @Sophisticatedesire

    6 ай бұрын

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  • @kelvinboateng1939
    @kelvinboateng19392 ай бұрын

    At 17:09 you wrote 61 instead of 64

  • @RobleUmer
    @RobleUmer6 ай бұрын

    Makina is being check right now😅😅😅😅😅

  • @heni.8618
    @heni.86186 ай бұрын

    Should I learn integrals before watching this?

  • @lastchance966

    @lastchance966

    5 ай бұрын

    of course

  • @RobleUmer
    @RobleUmer6 ай бұрын

    We can t compete like tat u kid 😅😅

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    @_Ruach_6 ай бұрын

    Wow

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    @RobleUmer6 ай бұрын

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    @RobleUmer6 ай бұрын

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  • @peterpumpkineater6928
    @peterpumpkineater69285 ай бұрын

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

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    @ode15286 ай бұрын

    I came expecting Gold and found Diamond.

  • @RobleUmer
    @RobleUmer6 ай бұрын

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    @RobleUmer6 ай бұрын

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    @RobleUmer6 ай бұрын

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  • @dilophosaurusking7437
    @dilophosaurusking7437Ай бұрын

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

  • @RobleUmer
    @RobleUmer6 ай бұрын

    Still afraid of answar😅

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    @RobleUmer6 ай бұрын

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    @RobleUmer6 ай бұрын

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  • @yourmomjamie3449
    @yourmomjamie34495 ай бұрын

    Final in an hr 😭

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    @RobleUmer6 ай бұрын

    😢why Sabrina song stoop in tigis😅😅😅

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    @RobleUmer6 ай бұрын

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    @RobleUmer6 ай бұрын

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  • @thatomofolo452
    @thatomofolo4526 ай бұрын

    Functions 😟

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    @user-fc3lt2cf7e12 күн бұрын

    Exam in 1 hour🫡

  • @RobleUmer
    @RobleUmer6 ай бұрын

    Drone has the video😅

  • @RobleUmer
    @RobleUmer6 ай бұрын

    Why hiding 😢 I m not far cc there😅😅😅😅

  • @Zeeshankhan-ip7fz
    @Zeeshankhan-ip7fz4 ай бұрын

    99% people watching before the day of exam 😢😅

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    @RobleUmer6 ай бұрын

    Who drive those drones not me 😊😊😊

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    @RobleUmer6 ай бұрын

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    @RobleUmer6 ай бұрын

    Why tell I got 2 drones😊😊

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