What is Double integral? Triple integrals? Line & Surface integral? Volume integral?

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  • Опубликовано: 29 янв 2025

Комментарии •

  • @inventorofmachines
    @inventorofmachines 2 года назад +14

    Great work! If only they taught like this in school

  • @arasavillisuryapratap4993
    @arasavillisuryapratap4993 2 года назад +9

    Please continue your work .....don't stop...👍

  • @sachinsahani6117
    @sachinsahani6117 Год назад +2

    You've helped me to understand it very accurately than mugging it up.

  • @GeenukaParanawithana
    @GeenukaParanawithana Год назад +2

    really helpful to understand the concepts. Vivid demonstration. Thanks a lot you made my day😍

  • @jaleeltareen7553
    @jaleeltareen7553 2 года назад +2

    Keep up the good work💕. We want these type of videos many more.

  • @junaiddooast7435
    @junaiddooast7435 3 месяца назад +1

    Really an underrated channel

  • @abhinandok190
    @abhinandok190 2 года назад +2

    Excellent👍
    Keep doing such videos

  • @fatinaxis1618
    @fatinaxis1618 Год назад +24

    I have done all my maths without understanding & now I have got the gist of those maths by this, thanks to it's creator. May AllaH bless him or her.

  • @сложноквашино
    @сложноквашино 7 месяцев назад +3

    The best explanation

  • @girishkuvalekar3965
    @girishkuvalekar3965 2 года назад +8

    I wish these videos were available when I studied engineering

  • @azadsonu7089
    @azadsonu7089 2 года назад +3

    Amazing the way of teaching is jss...outstanding....I am worried why this channel is not growing as per its potential.....

  • @Array-ce1fy
    @Array-ce1fy 8 месяцев назад

    最喜欢的一集😁

  • @Husain_bohra
    @Husain_bohra Год назад +5

    I have no idea how do you guys understand this so easily but even after watching the video I was no able to grasp properly.

    • @Cameouo
      @Cameouo 5 месяцев назад +1

      Most smart people don't understand what they do, they just pretend to until they do understand. Mistake most people do is that they should understand a concept perfectly but look at it like a puzzle instead of a snake and ladder board, connect puzzles to your maximum extent, may god help you

  • @apocalypt0723
    @apocalypt0723 2 года назад +3

    Amazing video

  • @leizhang3329
    @leizhang3329 Год назад +1

    I still not understand...cal3 is toooooo hard!!!! but this video is beautiful

  • @Yuto24680
    @Yuto24680 4 месяца назад +1

    Please can you explain me what will happens if we integrate an integral infinite times

  • @AlbertTheGamer-gk7sn
    @AlbertTheGamer-gk7sn 7 месяцев назад +1

    Simple integral: ∫dx
    Double integral: ∬dA = ∬dydx ∬ rdrdθ
    Triple integral: ∭dV = ∭dzdydx = ∭rdzdrdθ = ∭ρ^2*sin(φ)dρdφdθ
    Line integral: ∮ F ∙ dr = ∮ (F ∙ n)ds = ∬(Ny-Mx)dA = ∯ curl F ∙ dS = ∫y(x)√(1+(y')^2)dx = ∫r(t)√((x')^2+(y')^2)dt = ∫r(θ)√(r^2+(r')^2)dθ
    Surface integral: ∯ F ∙ dS = ∯(F ∙ N)dS = ∬z(x, y)√(1+zx^2+zy^2)dydx = ∬r(s, t)√(rs ⨉ rt)dsdt = ∬g(x, y, z) * ∇g/(∇g ∙ n)dA = ∬r(θ, z)√(r^2+rθ^2+(r*rz)^2)dθdz = ∬ρ(φ, θ)√((ρ^2*sin(φ))^2+(ρ*sin(φ)*ρφ)^2+(ρ*ρθ)^2)dφdθ
    Volume integral: ∰ F ∙ dS = ∰(F ∙ N)dS = ⨌dV = ⨌dwdzdydx = ⨌rdwdzdrdθ = ⨌r1r2dr2dθ2dr1dθ1 = ⨌ρ^2*sin(φ)dwdρdφdθ = ⨌р^3*sin^2(φ)*sin(ψ)dрdφdψdθ
    Using Green's Theorem, you can convert a line to a surface integral.
    Using the Divergence Theorem, you can convert from a surface integral into an interior integral.

  • @Mrosen7542
    @Mrosen7542 11 месяцев назад

    This is great. Too bad we don't have holograms in schools.

  • @jam9339
    @jam9339 Год назад

    0:38 0:38 0:38 0:38 0:38

  • @Darakkis
    @Darakkis 9 месяцев назад

    Yes

  • @jam9339
    @jam9339 Год назад

    India 0:32

  • @nickzadeh7082
    @nickzadeh7082 7 месяцев назад

    You never be a good teacher. What is in your mind is different to the others. If some people knew these kind of integral no need to listen to you. You just lecturette for the people that they knew these subject.