Surface Integral: Calculating Outward-Pointing Normal & Integral Limits

[gertrudethegr]

Homework Statement

Let S be the boundary of the region {(x,y,z) : 0<z<h , a^(2)<x^(2)+y^(2)<b^2 , and a<b

F is defined at the point with position vector r=(x,y,z) by

F(r)=exp (x^2+y^2)r

Evaluate the surface integral

\int F.n dS

Where n is the outward pointing unit normal to the surface S

The Attempt at a Solution

How do i calculate the normal, and what are the limite on the integral?

 

[ystael]

First draw the surface S; what does it look like?