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

NiLTime
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Просмотров 21 тыс.
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After watching this video you will understand that ... A line integral is the generalization of simple integral. A surface integral is generalization of double integral. A volume integral is generalization of triple integral.
0:00 Intro
0:18 Simple Integral
0:46 Double Integral
1:06 Line Integral
2:02 Double and Surface Integrals
3:01 Parametric Surface
4:48 Triple and Volume Integrals

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2 июл 2024

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Комментарии : 23   
@fatinaxis1618
@fatinaxis1618 6 месяцев назад
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.
@inventorofmachines
@inventorofmachines Год назад
Great work! If only they taught like this in school
@arasavillisuryapratap4993
@arasavillisuryapratap4993 Год назад
Please continue your work .....don't stop...👍
@user-bs5xb4yp7f
@user-bs5xb4yp7f 17 дней назад
The best explanation
@jaleeltareen7553
@jaleeltareen7553 Год назад
Keep up the good work💕. We want these type of videos many more.
@sachinsahani6117
@sachinsahani6117 Год назад
You've helped me to understand it very accurately than mugging it up.
@user-wp2fs8xc9y
@user-wp2fs8xc9y 7 месяцев назад
really helpful to understand the concepts. Vivid demonstration. Thanks a lot you made my day😍
@abhinandok190
@abhinandok190 Год назад
Excellent👍 Keep doing such videos
@Husain_bohra
@Husain_bohra 4 месяца назад
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.
@Array-ce1fy
@Array-ce1fy Месяц назад
最喜欢的一集😁
@girishkuvalekar3965
@girishkuvalekar3965 Год назад
I wish these videos were available when I studied engineering
@azadsonu7089
@azadsonu7089 Год назад
Amazing the way of teaching is jss...outstanding....I am worried why this channel is not growing as per its potential.....
@leizhang3329
@leizhang3329 7 месяцев назад
I still not understand...cal3 is toooooo hard!!!! but this video is beautiful
@apocalypt0723
@apocalypt0723 Год назад
Amazing video
@NiLTime
@NiLTime Год назад
Thanks ^^
@Darakkis
@Darakkis 2 месяца назад
Yes
@Mrosen7542
@Mrosen7542 4 месяца назад
This is great. Too bad we don't have holograms in schools.
@jam9339
@jam9339 7 месяцев назад
0:38 0:38 0:38 0:38 0:38
@jam9339
@jam9339 7 месяцев назад
India 0:32
@AlbertTheGamer-gk7sn
@AlbertTheGamer-gk7sn 5 дней назад
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.
@nickzadeh7082
@nickzadeh7082 20 дней 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.
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