next up previous contents
Next: Special formulas for Surface Up: Surface integrals and Surface Previous: Surface area.

Surface integral.


% latex2html id marker 10870
\par \begin{center}
...}f \cdot \overrightarrow{p} \end{vmatrix}} \; dA
\end{equation*}\end{minipage} }

Example 8.27   Integrate the function g(x,y,z)=xyz over the upper unit hemisphere, i.e. the surface defined by $x^2+y^2+z^2=1, \; z geq 0$.

Figure 7: The upper unit hemisphere.
\mbox{\epsfig{file=UpperHemisphere.eps,height=5cm} }

Example 8.28  

Noah Dana-Picard