- #1
math_maj0r
- 15
- 0
Curve consists of part of a circle x2 + y2 = 4
theta from 0 to pi/4
Vector field F = <y2-yx2 , yx2>
(let the i component be P, and the j component be Q)
I used the following formula: double integral of [(partial derivative of Q with respect to x) - (partial derivative of P with respect to y) dA]
So I got: double integral of [ (2xy) - (2y - x2) dy dx ] y from 0 to x, and x from 0 to 2
I got answer = 16/3 which is wrong.
My question is: What is wrong about the way I applied Green's thm?
theta from 0 to pi/4
Vector field F = <y2-yx2 , yx2>
(let the i component be P, and the j component be Q)
I used the following formula: double integral of [(partial derivative of Q with respect to x) - (partial derivative of P with respect to y) dA]
So I got: double integral of [ (2xy) - (2y - x2) dy dx ] y from 0 to x, and x from 0 to 2
I got answer = 16/3 which is wrong.
My question is: What is wrong about the way I applied Green's thm?
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