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.
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.