1. ## flux integrals

Compute the flux integral

for the following vector fields and surfaces.

1. F(r) = 3z i + 2x j + y k, where the surface S is the upper half of the hemisphere x2+y2+ z2 = 9; the normal direction is upward.
I am probably making a calculation mistake, or couldn't figure out the trigonometry part to evaluate the integral at the end?
Is there someone with time to tell me the right answer so I can check my work,

appreciated,

2. Originally Posted by sench
Compute the flux integral

for the following vector fields and surfaces.

1. F(r) = 3z i + 2x j + y k, where the surface S is the upper half of the hemisphere x2+y2+ z2 = 9; the normal direction is upward.
I am probably making a calculation mistake, or couldn't figure out the trigonometry part to evaluate the integral at the end?

Is there someone with time to tell me the right answer so I can check my work,

appreciated,

Here is what I found:

(81(pi)squared+72)/4