Example of closed line integral of conservative field | Multivariable Calculus | Khan Academy

Example of taking a closed line integral of a conservative field

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Multivariable Calculus on Khan Academy: Think calculus. Then think algebra II and working with two variables in a single equation. Now generalize and combine these two mathematical concepts, and you begin to see some of what Multivariable calculus entails, only now include multi dimensional thinking. Typical concepts or operations may include: limits and continuity, partial differentiation, multiple integration, scalar functions, and fundamental theorem of calculus in multiple dimensions.

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[GlorifiedTruth]

Thank you, Sal. These videos sent me a long way toward understanding this whole conservative field/potential function jazz. Great job as always.

[kahnfatman]

Kirchhoff's Voltage Law took me here

[atvortex]

Can you plz explain 2 charges each equal to +q stat coulomb are placed d cm apart. How much work is required in bringing unit positive charge from infinity to the midpoint of the charges along the perpendicular bisector of the line joining the two charges

[burcmm]

Nice video but why first ask the question if the vector field f is conservative and then say "let's assume it is..." and then write it as a gradient of a scalar field.

[marinadamaceno]

"Let's do it, if u don't believe what I did there" LOL

[harry_page]

Not that it matters for problems like this but shouldn't F(x, y) be 1/3 x^3 + xy^2 + c ? Because the c goes to 0 in both partial derivatives

[mateussousa]

I know this is the Code Bullet guy. I know it. hahahahaha

[keshavchaturvedi]

Therefore we can write every function as a gradient of some by integrating?

[burcmm]

Well, of course my comment is valid until the proof that the vector field f can indeed be written as a gradient of a scalar field F.

[DanikonLUK]

Wow, ain't that some shit. Nowhere in this book would there be the possibility of figuring this out.

[teja]

Sir u have forgotten constant of integration