Use Stokes' Theorem to evaluate the surface integral?
Use Stokes' Theorem to evaluate the surface integral where F=<zx^2, z(e^xy^2)-x, x*ln (y^2)> and where S is the portion of z=1-x^2-y^2 above the xy-plane with n upward.
integral of zx^2 dx+z(e^xy^2)-x dy+x*ln(y^2) dz from 0 to 2pi
This doesn't match the answer in the book. Can someone please correct me and show the work with steps?