Hi, can anyone please help me with this question?
Let S be the capped cylindrical surface given by the union of the two surfaces
Let . Evaluate using
(a) an appropriate line integral
(b) the simplest surface for S
I have been working on this question for a long time.
For part (a),I parametrized line which is the circle, then put in vector field F and then dotted with velocity vector, and integrate t from 0 to , but I don't know what happened, I always end up 0!
For part (b),clearly the simplest surface would be the circle, but I still could not set up integrals and find proper normal vector.
Can anyone please help me and show me the details? Thanks a lot.