Question

Green's Theorem:
Evaluate line integral

Answer 1

\[\int\limits_{?}^{c+} (y^2+x^3)dx+x^4dy = \int\limits_{{?}}^{?} \int\limits_{D}^{} 4x^3-2y dA \]

Answer 2

I was able to get here, but I don't think I use the correct parametrization of the region.
The Region is the square of the perimeter of the square with vertices [0;1]x[0;1] in the counter clockwise direction.

Answer 3

my parametrization is as follows:
x (bottom) = t
y (right side) = t
x (top) = 1-t
y (left) = 1-t

do I need to plug these in the last double integral? please help :(