Surface Integral HW problem

Noone1982
"Find the surface integral of r over a surface of a sphere of radius and center at the origin. Also find the volume integral of Gradient•R and compare your results"

Do I just integrate r to get (1/2)r^2 and plug some limits in since the r-hats equal one?

Last edited:

amcavoy
Noone1982 said:
"Find the surface integral of r over a surface of a sphere of radius and center at the origin. Also find the volume integral of Gradient•R and compare your results"

Do I just integrate r to get (1/2)r^2 and plug some limits in since the r-hats equal one?

Well, it must give you what the vector r is right?

$$\iint\limits_{S}\mathbf{F}dS$$

where S is the surface area of the sphere and F=r.

Noone1982
In xyz, r would equal R = x x^ + y y^ + z z^ but I'm just using R = r r^r to be simpler.