Fundamental Thereom of Calculus Explained - Part 1 & 2 Examples - Definite Integral

This calculus video tutorial explains the concept of the fundamental theorem of calculus part 1 and part 2. This video contain plenty of examples and practice problems evaluating the definite integral using part 2 of FTC and finding the derivative of the integral of function. It discusses functions such as f(x) and F(x) the antiderivative of f(x) and shows the relationship between differentiation - the process of finding the derivative versus integration or antidifferentiation - the process of finding the integral of a function or its antiderivative.
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-tutor.net/
Full-Length Videos and Worksheets:
/ collections

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    5 жыл бұрын

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  • @ThilebanTheEngineer
    @ThilebanTheEngineer7 жыл бұрын

    I found a mistake in the Title for this video is "Fundamental Thereom" 😀... Thanks a lot for the lecture. 😊

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    @gabevasicek45783 жыл бұрын

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    @lillianlou Жыл бұрын

    Thank you for carrying my AP Calc grade

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  • @Wizyywizyy
    @Wizyywizyy8 ай бұрын

    d^2/dx^2...can someone show me how we go about this?

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    @Ahmed-ny1xc5 жыл бұрын

    Isn't FToC part 2 just definite integrals?

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    @space95862 ай бұрын

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  • @pachamamaradio8359
    @pachamamaradio83595 жыл бұрын

    Why do you multiply by the derivative of the upper bound? at 7:15

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    @TheLifeofJay1

    5 жыл бұрын

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  • @pedro-z1z
    @pedro-z1z7 күн бұрын

    Man, there is something I barely understand: whenever we write down a integral function, what is the exact meaning of the two variables (t and x)? I just feel that writing only one variable instead of two would be a error, but I don't understand what is the precise meaning of these two letters.

  • @steammonkey3224
    @steammonkey32242 жыл бұрын

    i love it everytime he says that 20:32 , it reminds me how pointless school is.

  • @mastermind2971
    @mastermind29714 жыл бұрын

    If you don’t mind me asking, At 35:57 shouldn’t the term be In(-2x)?

  • @rlrrlrll

    @rlrrlrll

    4 жыл бұрын

    ln(x) is defined only with positive numbers. So to say 'inside' the ln you can only put positive numbers. Hope that helps.

  • @user-xl1ig1bn6i

    @user-xl1ig1bn6i

    7 ай бұрын

    1. Log and Ln functions cannot take -ve numbers. They are undefined in such a situation. They only take positive values. 2. - ln(2x).2=-2ln (2x) since d/dx [-F(t)] = -f(t).t' since t is a function of x. i.e. the derivative of a composite function. NB: (a) f(t) is F' and t'(x) is derivative of t. (b) f(t)=-ln t and t is 2x and t' is 2 I hope you understand.

  • @ddahstan6876
    @ddahstan68762 жыл бұрын

    Almost every time I do homework, I click on any video(s) of his, then turn off the volume, then just let the video run so that all the Ads will be played. Simple as that :-)

  • @moondxstq4297
    @moondxstq42973 жыл бұрын

    Constant(x): 5:50

  • @moondxstq4297

    @moondxstq4297

    3 жыл бұрын

    “x” at lower limit: 9:35

  • @abhigyasrivastava1430
    @abhigyasrivastava14303 жыл бұрын

    Better word than I love you Let's try another example

  • @isobar5857
    @isobar58574 жыл бұрын

    Can't follow this logic...eg, 3x is just one of the bounds of integration, and as such just replaces the t ! What am I missing here.?

  • @jeffreystockdale8292
    @jeffreystockdale82923 жыл бұрын

    First time I’m “still confused “!!!

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    @smashbros379ful6 жыл бұрын

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  • @Joseph-fq3js
    @Joseph-fq3js2 жыл бұрын

    When do you need to put plus C?

  • @believer8754

    @believer8754

    2 жыл бұрын

    It's constant just it is rules and derivative of constant is zero so It doesn't effect just follow the rule

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    @wowanimals1-o5r Жыл бұрын

    My man needs a medal of honor for how much he's carrying rn

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    Let JOIN and says 😊 🙏

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    @mochamp43534 жыл бұрын

    literally my daddy

  • @tombruckman6954
    @tombruckman69545 жыл бұрын

    im pretty sure you have part 1 and part 2 reversed

  • @nrgking1667
    @nrgking1667 Жыл бұрын

    7:52

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    @antonborovik68452 жыл бұрын

    got my calc final in 3 hours lol

  • @KnzoVortex
    @KnzoVortex2 жыл бұрын

    11:33

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    @omerfaruksaglam82703 жыл бұрын

    all hail our lord and savior the all knowing youtube guy

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    @lillianlou

    Жыл бұрын

    Preach

  • @21mejia25
    @21mejia256 жыл бұрын

    anybody, 35:55 can you factor out an ln and get ln(18×^3 - 4x] as the answer?

  • @aboudymarrawi7478

    @aboudymarrawi7478

    2 жыл бұрын

    so did you ever figure it out?

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    @user-kn2ub2cj8z2 жыл бұрын

    💛💛💛💛

  • @fuk0se
    @fuk0se7 ай бұрын

    27:35

  • @marjanmathilda1475
    @marjanmathilda14753 жыл бұрын

    🙏

  • @dddddddddd8178
    @dddddddddd81783 жыл бұрын

    I haven't attended any class in calculus because it's easier to learn here I'm calling you daddy now

  • @AbdullaKw
    @AbdullaKw2 жыл бұрын

    41:18 the answer is wrong he didn't take the antiderivative. answer must be -> 6x^2 sqrt(3+x^6) - 8x^3 sqrt(3+x^4) -> all in one line. not rational

  • @MsSubway98
    @MsSubway987 жыл бұрын

    its so weird how your voice reminds me of snoop dog

  • @andrewberardi6158
    @andrewberardi61584 жыл бұрын

    wow I feel DUM. I dont get it at all.

  • @user-ss4wx3we1v
    @user-ss4wx3we1v4 жыл бұрын

    K

  • @keotshepilemandona9882
    @keotshepilemandona98826 жыл бұрын

    due to respect please do not skip some of the stuff because i battle to understand some concepts very well...

  • @bengutierrez1968
    @bengutierrez19683 жыл бұрын

    I hate grammarly with a passion

  • @hg2.
    @hg2.7 жыл бұрын

    I wish you wouldn't "snap off" the formula the instant you're finished talking about it.

  • @oblivionsmith9174

    @oblivionsmith9174

    6 жыл бұрын

    hg2 write it down.

  • @cloroxbleach5687

    @cloroxbleach5687

    6 жыл бұрын

    Honestly that shook me he went straight in

  • @zachp2389

    @zachp2389

    6 жыл бұрын

    if you expect to be able to do any of this math you should have the formulas memorized. If he left it up for the few that are mentally inept the video would be 2 hours long.

  • @123ElTri

    @123ElTri

    5 жыл бұрын

    @@zachp2389 Damn, calm down bro. I wonder what brought you here, surly it must have been your high level of competence.

  • @zachp2389

    @zachp2389

    5 жыл бұрын

    Oscar8mx my level of competence is high enough that I don’t need formulas constantly displayed for me

  • @sheikhsaleh1
    @sheikhsaleh17 жыл бұрын

    What's 9 + 10? 13:13

  • @bobbysteakhouse7022

    @bobbysteakhouse7022

    6 жыл бұрын

    It's 19

  • @TheLifeofJay1

    @TheLifeofJay1

    5 жыл бұрын

    21

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    @allie70496 жыл бұрын

    marry me.

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    @superka930

    6 жыл бұрын

    i need you come on