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How to use Mathematica to compute a circle integration?

Posted 10 years ago

Hi, I am a newbie in this software. I want to compute the circle integration.

Given:

A = {3y, -xz, yz^2}
S: x^2+y^2 = 2z
C: z=2
Circle Integration A belongs to S and C.

I used those command:

ss[x_^2+y_^2] := 2*z
cc[z_]:=2
A={3*y, -x*z, y*z^2}
Integrate[A,{x,y,z} \[Element] ss, {x,y,z} \[Element] cc]

But I got a error: integrate:ilim: invalid integartion variable or limit(s) in {x,y,z} [Element] ss, How to compute this, thanks a lot!

POSTED BY: MOP MOP
6 Replies
POSTED BY: Gianluca Gorni
Posted 10 years ago
POSTED BY: MOP MOP

Could use Exp[I*t] with Cos[t] substituted for x and Sin[t] for y.

POSTED BY: Daniel Lichtblau
POSTED BY: Gianluca Gorni
Posted 10 years ago
POSTED BY: MOP MOP
POSTED BY: Gianluca Gorni
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