- #1

- 310

- 54

- Homework Statement
- calculate the closed path integral of the vector field

F(x,y)=(y/(2x^2+y^2) ; -x/(2x^2+y^2)) along the ellipse of equation

{(x, y) ∈ R2: 2x^2 + y^2 = 1} run in clockwise direction

- Relevant Equations
- x=cos(theta) /sqrt(2)

y=sin(theta)

my problem is the following: this vector field is conservative ( i checked the partial derivative) means the work around a closed path must be zero!√but still the solution says otherwise: any hints?
explanation? thanks a lot!