- #1
JamesMay
- 5
- 0
Homework Statement
I am trying to sort out surface integrals in my head, and have become more confused when attempting to calculate the surface integral of a hemisphere. I am getting confused about which values to use as boundaries.
Homework Equations
da=R^2 sinθdθdφ
The Attempt at a Solution
To get half a sphere I integrated dφ between 0 and 2pi, and integrated sinθdθ between 0 and pi/2.
This gives R^2*0*2pi=0
Whereas if I integrate dφ between 0 and pi, and integrate sinθdθ between 0 and pi i get
R^2*1*pi
which is the answer I am looking for but shouldn't I get the same using both sets of boundary values? Confused...