Calculus 3: Line Integrals (10 of 44) What is a Line Integral? [2+(x^2)y]ds Example (Worked Out)

In this video I will find the line integral of [2+(x^2)y]ds.

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[curtpiazza]

Excellent! Thanx for including the American flag in your videos! 😊

[mohammaddwintacahyana]

good sir, i've always appreciated the work you contribute to us students from around the world..
with that being said, could you please make a content about contour integral? or please link me if i missed it

[darkwand]

my problem actually gave me dx, but, annoyingly, I fear I am going to have to convert it to ds

[ainamysrh]

sir, i still dont understand.. how is the f(x, y) related to the circle. i mean the shape of the f(x, y) is not even a circle as drawn (a perfect circle with constant radius 1) what does the circle just indicate really indicates??

[raghuramabl]

hi professor I am having confusion with the line integral of
integration along a curve F vector dot product with ds (∫F .ds) as you told this represents as a curtain,
but how does
line integration along a curve F vector cross product with ds (∫
F ×ds) how is this represented graphically?

[TheMusterionOfRock]

How come there is no r dr dtheta when using polar cooridnates here? At least I would think you get x = r cos theta?

[abdulrahmanmohamed]

sir, how did you get the ds equation?

[codebnder]

I guess the circle must be in X-Y plane..?