Calculus 3: Line Integrals (2 of 44) What is a Line Integral? A Visiual Perspective

In this video I will explain visually the meaning of line integrals: area under the line (curve) or the area of the curtain.

Next video in the series can be seen at:

[MechanicalEI]

+Michel van Biezen, the graphs look very detailed, yet your explanation sheds an entirely new ray of light on them. Thanks for uploading!

[golaiet]

I don't even study in English and I understood your videos better than any of my own country's videos

[shenamanda]

better than my teacher in the college, u saved my life~

[sushamakumari]

U are amazing sir .. please keep uploading
Getting numerical solved, now a days is tough😅😅 and u are doing this .your lectures are really very helpful for me !
sirrr!!.. please keep uploading!

[donegal]

Not a very clear explanation. In both of the videos in this series so far it is not at all obvious what the difference between a line integral and a "regular" integral is. I hope a better description of what differentiates a line integral from ordinary integrations is in the offing, rather than just being shown the mechanics of how to calculate a line integral.

[valeriereid]

Thank you Professor for an excellent lecture, and for inspiring me to work on my geometric drawing skills.

[HitAndMissLab]

there is a constant error that Mr Biezen keeps repeating. ds is not on the f(x, y) curve, because than it would have dz component. ds in the XY plane and it only has dx and dy components. It's quite confusing and misleading.

[curtpiazza]

Great! One question....line integrals....do they have a circle through the integral sign? Or is that something different?
Just got the answer in video 3! Thanx!

[FernandoVinny]

2:48 just the derivative? Not thr magnitude of the derivative?

[akshaysawant]

We use regular integral for same purpose... What's different in this?

[vikramt]

Can u make physical interpretation for residues, singularity in complex analysis

[Efrain]

Que programa usaste ? Gracias por el video...

[GQwerty]

Looks like there's a slight typo in the title.

[manuelsojan]

isnt it the magnitude of the derivative of r(t)?

[mark.p]

Question: if we wanted to filde out the volume that is under the function (since its 3D) we would use a triple integrale, and to fing just a slice of area that is under the path we take we use the line integral correct ?

Thank You for You help :)

[somanathpanigrahi]

And u have written in the previous video....as. here as f(x, y)...