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## Homework Statement

Use Green's Theorem to evaluate the line integral along the given positively oriented curve. ##\int_C y^4 dx + 2xy^3 dy ##, C is the ellipse ##x^2 + 2y^2 = 2##.

## Homework Equations

Change of variables: ##\int \int_S f(x(u,v),y(u,v)) |{\frac {\partial(x,y)}{\partial (u,v)}}| du dv ##

## The Attempt at a Solution

How do I change the ellipse to a circle? Is there a way to determine u and v?