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# Stokes example part 1

Starting to apply Stokes theorem to solve a line integral. Created by Sal Khan.

## Want to join the conversation?

• x^2 + y^2 = 1 is a equation of circle isn't? how to relate it with a pole ?
• It is indeed the equation of a circle when restricted to the x-y plane, but when extended into the z dimension, it forms a cylinder. For any value of z, the equation gives you the same (circular) set of x-y points.
• the subtitle on this video doesn't work.
• Prove or disprove:
Let f be a continous increasing function on the interval (a,b). Let prime numbers p,q such that p*q is in the interval (a,b) and p < q. Then F(pq) = p*F(q), for F an antiderivative of f.
(1 vote)
• Note to those who are wondering how to solve it directly it is in the next videos.

P.S sorry i knew it was question section but this was important to get attention as i had to search a whole lot of videos for its proof, hope you understand.
(1 vote)
• Is is possible to use Stoke Theorem on a flat surface? For example, close curve, C integration of (x^2 + 2y + sin(x^2)dx + (x + y + cos(y^2))dy ). The C is a contour on xy plane which formed by x=0 (from 0,0 to 0,5), y= 5-x^2 (from 0,5 to 2,1) and 4y = x^2 (from 2,1 to 0,0).
I consider (x^2 + 2y + sin(x^2)) determine my vector field i component while (x + y + cos(y^2)) for my j component and k component = 0 of a vector field F.

I double integrate the (curl of F) dy from x^2/4 -> 5-x^2 then dx from 0->5.