Hey, I tried converting co-ordinates and all but I am having difficulties.

Evaluate

$\displaystyle \int \int_S F \cdot dS$

where $\displaystyle F= xi+yj +z^4 k$ and $\displaystyle S$ is the part of the cone $\displaystyle z=\sqrt{x^2+y^2}$ beneath the plane $\displaystyle z=1$ with downward orientation.

Thanks for any help.