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**1. Homework Statement**

Calculate the outward flux of the vector field F = <2x, -3y, 3z> across the boundary of the first-octant unit cube with opposite vertices (0, 0, 0) and (1, 1, 1).

**2. The attempt at a solution**

The top and the bottom of the box is easy. The flux here is 3 and 0 respectively. But how do I calculate the other sides?

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