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## Homework Statement

A vector field [tex] \vec{G} [/tex] in 3-space is defined outside the cylinder [tex] x^2 + y^2 = 4 [/tex]

[tex] \vec{G} = \frac{6y\vec{i}-6x\vec{j}}{x^2+y^2} [/tex]

Find [tex] \int\limits_S \vec{G} \cdot · d\vec{A} [/tex] where S is the open cylinder [tex]x^2 + y^2 = 16 , 0 \leq z \leq 7 [/tex] oriented outward.

## Homework Equations

## The Attempt at a Solution

I am planning to use divergence theorem here... can I use it?