Line Integrals: Full Example

This video is a fully worked example of a line Integral. We use the Line Integral formula to compute the Line integral of a function f(x,y) over top of a circle of radius 2. We first parameterize the curve, then write the function in terms of that parameter, and then substitute into the formula.

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[jgseg]

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Please make a series on conics section that will help lot of students

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[edmund]

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[shashankrajashekar]

Its important to analyse the topics visually than in Thanks for making it clear

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I am a physics teacher.

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On a side note, maybe we are maybe a bit of a spoiled generation, with all the fancy computer graphics and great teachers the can feed us this knowledge with a spoon (it's like having the best privet teachers at your disposal always), which (IMO) actually hurts the solidification of this knowledge when you studying it for the first time (because you face less obstacles), but on the other hand, when you actually know this stuff, these videos are amazing to deepen intuition and refresh subjects quickly when they are relevant.

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[dolly]

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[malefetsanekoalane]

Thanks Herr Doktor.Beautiful explanation.

[infinix]

i was able to solve just by seeing the question, thank you for your help in previous videos

[GulzarAhmad-swkh]

Good Explanation. I think it should be emphasized that circle at the bottom is a projection of the f(x, y).

[jasper]

So, did we calculate the given area of the curve in this example? Anyway, thanks for the video. It really helps!

[anasmikael]

Can I ask, how did you get (1+sin 2t) and how you get sqrt((-2sin t)^2 + (2 cos t)^2) become 2 dt ? Sorry I'm a new learner.

[林士堯-dc]

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