How to Evaluate the Line Integral of a Vector Field

How to Evaluate the Line Integral of a Vector Field

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[peeper]

I used to watch educational videos and read comments everywhere along the lines of "you explained in 10 minutes what my professor couldn't do in 2 hours" and other generic statements but now that I am in university I find myself commenting the same thing.

[HybridElephant-fqgi]

Simple, on point, but long enough to follow the steps and get the concept. Great video!

[dariusramnath]

best video on line integrals i've ever come across!

[rdswatteam]

By far the best explained video on Line Integrals!!

[sukd]

This video is the only video on youtube that could help me with line integrals. Many thanks

[AdmiralSpee]

wish the teachers at LTU was this thoroughly, with simple explanations and on point.Thanks

[rishbahkohli]

You are really a great teacher wish we could have such a great teacher like u in our school I'm from the most recognised school in India but there too they don't have teachers like you. Great sir.

[tomarmstrong]

this was absolutely fantastic thank you very much, your enthusiasm inspired me!!!

[J_Square]

You've great experience in math. That's what I came to know. Keep uploading
💜

[fredericoamigo]

Brilliant explanation! Love your vids! Keep up the good work!

[xinpingdonohoe]

That's the nice thing about Leibniz notation. It works when you think it should.
r=(x, y) so dr=(dx, dy)
F•dr=(M, N)•(dx, dy)=M dx+N dy
dx=dx dt/dt = dx/dt dt
dy=dy dt/dt = dy/dt dt

[muhammadowais]

i wish my uni professor taught like u
<3

[lukejames]

Please do a video on evaluating surface integrals

[raedbishtawy]

your awsome your explenation is wonderful however you forgot to multiply the second terma' the integral with 1/2

[zxrgioc]

Is this the same for I, j, k too? 3 dimensional?

[rosskious]

Not hard if you break it down properly. Calculus 3 is the math class that you basically NEED everything you have learned in math along the way to be accessible in your head to solve problems. You WILL find any weaknesses in Geometry, Trig ect. Any weakness in Algebra will definitely come out in Calculus 2 but you can skirt some of the other weaknesses. In a Calc 3 your mind needs to bring them all together. In of itself Calculus 3 is not hard to learn, but if you mindset was I am just to learn enough to pass as you went through each previous math subject this one will blast you.