1) Use Green's Theorem to evaluate integral of surface C [(x^2 + y^2)dx + (xy^2)dy where C is the closed curve determined by y^2 = x and y = -x with 0 <= x <= 1

I cant find out the condition for the integrals.

what i got is:

int (0 to 1) int (? to ?) [ y^2 - 2y dy dx]

Please Help!