What is Double integral? Triple integrals? Line & Surface integral? Volume integral? #SoME2

#some2
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

[fatinaxis]

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]

Great work! If only they taught like this in school

[sachinsahani]

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

[wpfsxcy]

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

[Husain_bohra]

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.

[jaleeltareen]

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

[girishkuvalekar]

I wish these videos were available when I studied engineering

[azadsonu]

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

[leizhang]

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

[Mrosen]

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

[AlbertTheGamer-gksn]

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,
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.

[nickzadeh]

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.