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## Homework Statement

Through Stokes' Theorem, I am given a formula and vector (see attached document), where

**V**is a vector, and

*S*is the right-circular cylinder (including the endcaps) which is bounded by (x^2) + (y^2) = 9, z=0, and z = 5.

## Homework Equations

See attached document.

## The Attempt at a Solution

I took the curl of

**V**and set up the double integral. However, I do not know how to work out the normal unit vector. How do I decide what the limits are? In general, with Stokes' Theorem, how would one go about solving the surface double integral with a 3 dimensional solid?

I am still not confident in Stoke's theorem. I would appreciate any educational information on this subject. Thanks.