How to solve a vector integral within a solid angle ?

*To*: mathgroup at smc.vnet.net*Subject*: [mg128281] How to solve a vector integral within a solid angle ?*From*: Seila Ancientmoon <seilaancientmoon at gmail.com>*Date*: Wed, 3 Oct 2012 23:39:55 -0400 (EDT)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*Delivered-to*: l-mathgroup@wolfram.com*Delivered-to*: mathgroup-newout@smc.vnet.net*Delivered-to*: mathgroup-newsend@smc.vnet.net

hi, I want to plot a picture like Figure 5 in this paper and i need to calculate a function that present at page 8, the H(S) function: http://users.tricity.wsu.edu/~bobl/personal/mypubs/1993_plausible.pdf That integration take vector as parameters and integral over a hemisphere range, i want to ask is there a neat statement to do this integral rather than converting it to spherical coordinate than do the integration ? Thanks.