Path independence for line integrals | Multivariable Calculus | Khan Academy

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Showing that if a vector field is the gradient of a scalar field, then its line integral is path independent
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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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[@lafudge2929]

I love how Sal still uses the same xbox 360 mic after all these years lol

[@dviad_gg]

yes lmfao

[@abidhossain8074]

Its the same video from before

[@dviad_gg]

oh lmfao

[@gaurav.raj.mishra]

I'm so early here. Maybe my role model Sal will read this. Thank you so much Sal. Thank you for teaching me and so many other people so much.

[@matthewjames7513]

The great Khan is back. We missed you.

[@aldaiidk2562]

Great video Sal , i’m student in Khan and i love your lessons 💕 thank u!

[@bennyday1891]

This video just popped out and I see this guy writing math? Im sorry but this is scary I could never do this I’m only 16 and my dad took me out when I was in 3rd grade 😪 I don’t know that much.

[@keerthivasanr8865]

Tq so much Sal. Plz make a video on how to use Log tables

[@maksak3662]

Can you pls do embedded clause

[@m-r.b-o-b6831]

can you do a cds

[@COOKINGWITHASHRIZ]

Super

[@DavideLibenzi]

6:10 ... steepest ascent 😉

[@MasterCivilEngineering]

Expertise your knowledge herr❤❤❤❤❤

[@think_logic]

very helpful

[@lovingphysics5865]

I am the first to comment,wow!!

[@jjramos5993]

O. M. g.

[@robloxgoodangel4602]

What app do you use to draw those equations?

[@oWxrp]

The app with the black background is called Smooth Draw

[@robloxgoodangel4602]

@@oWxrp Thank you!

[@oWxrp]

@@robloxgoodangel4602 No problem