Calculus MV: Integration

rman144

I really just need to check my answer on something:

Let X be the surface parameterized by "z maps to (z,z^2)", such that z is a complex number |z|<=1.

Identify the complex number in C^2, in this case (x1+iy1,x2+iy2), with the real vector (x1,y1,x2,y2) in R^4.

What is the integral of dx2[tex]\wedge[/tex]dy2 over the surface X?

I'm getting 2pi; am I in the ball park?