Line integrals and vector fields | Multivariable Calculus | Khan Academy
621K views · Feb 26, 2010 · Education
Comments · 133
@turbothrottletrouble4217 · 6 years ago
You know why I like Sal, he assumes you know nothing, then he makes you feel like a genius because he makes you think about what's going on rather than having to rotely memorise everything that he says. Never quit Sal, this is God's work you are doing.
191
@howmathematicianscreatemat9226 · 6 years ago
"The only really valuable thing is intuition" [Albert Einstein]. Most professors don't seem to understand it but Mr. Khan Academy teacher does.
100
@mariannejasmijn8656 · 6 years ago
You explained this is a 20 minute video so much better than my 1,170 page textbook
40
@cruiserkid1 · 12 years ago
You sir are a legend....
95
@BoutinMathieu · 11 years ago
Sal is by far my favorite teacher! :D
14
@passivlyassertive9696 · 9 years ago
Thank you so much for these videos, it's absolutely incredible how intuitive this is, and to think you do this for almost every level of every subject....
21
@99brace · 3 years ago
you’re the best Sal, you’re the only reason I haven’t failed my physics degree so far
1
@AntonioMudge · 11 years ago
you are so funny dude. you're great! your videos touches a little of everything watching you is funny, entertaining and educational!
10
@JaredBGoode1 · 12 years ago
This was much more concise than my professor's explanations. I appreciate it a lot. I was really worried about my quiz tomorrow.
9
@dekippiesip · 13 years ago
Good job, the khan academy needs to expand and reach a wider public btw! It has to get as big as wikipedia or facebook, that would truely revolutionize education.<br><br> Btw, why use i,j,k notation for vectors? Representing vectors as rows or columns is much more convenient, at least for me. And it allows you to work in more than 3 dimensions!
1
@lorettali3842 · 3 years ago (edited)
Can’t believe this is much more clear than my university’s lecture…
@積分定数C-o5n · 3 years ago
thank you so much. you are saving my life
1
Up next

Using a line integral to find the work done by a vector field example | Khan Academy
Khan Academy · 422K views

Line integral example 1 | Line integrals and Green's theorem | Multivariable Calculus | Khan Academy
Khan Academy · 540K views

Best Explanation of Gradient, Divergence and Curl
Brain Station Advanced · 608K views

Div, Grad, and Curl: Vector Calculus Building Blocks for PDEs [Divergence, Gradient, and Curl]
Steve Brunton · 565K views

Introduction to the line integral | Multivariable Calculus | Khan Academy
Khan Academy · 1M views

Line Integrals of Vector Fields // Big Idea, Definition & Formula
Dr. Trefor Bazett · 263K views

Crowd Goes WILD as Hikaru TRAPS Magnus Carlsen’s Queen
GM CHESS LESSONS · 181K views

The Sun Is Weirder Than You Think
Cleo Abram · 1.3M views

Stokes' theorem intuition | Multivariable Calculus | Khan Academy
Khan Academy · 574K views

Best Explanation of Jacobian and Change of Variables
Brain Station Advanced · 97K views

The Professor Who Taught People How To Think (1962)
ABC Science and ABC Australia · 2.9M views

The Closest Thing We Have to Alien Technology
Veritasium · 59M views

Calculus 3: How to evaluate line integrals from the definition and parametrization
bprp calculus basics · 21K views

Line Integrals Are Simpler Than You Think
Foolish Chemist · 328K views

Line integral example 2 (part 1) | Multivariable Calculus | Khan Academy
Khan Academy · 314K views

Lec 1 | MIT 18.01 Single Variable Calculus, Fall 2007
MIT OpenCourseWare · 2.9M views

BREAKING: Trump, Musk, Zuckerberg, Amodei Take Reporters' Questions After New AI Accords Announced
Forbes Breaking News · 1M views

🚨 PLÖTZLICH ESKALIERT DIE RUNDE! Lisa Eckhart sagt EINEN SATZ – PUBLIKUM RASTET KOMPLETT AUS!
Scharfer Blick · 132K views

Closed curve line integrals of conservative vector fields | Multivariable Calculus | Khan Academy
Khan Academy · 194K views