, where , boundary of the cube , outward pointing normal.
How can I solve the integral with singularity at endpoint?
Is there a solution for this integral?
What have you tried so far? and where did you get stuck?
Because the cube has "edges" and is not smooth, do each of the six faces separately.
1) On the face x= 0, the unit normal is <-1, 0, 0>, on the face x= 3 the unit normal is <1, 0, 0>, and F has 0 x-component so those integrals are 0.
2) On the face y= 0, the unit normal is <0, -1, 0>, on the face y= 3 the unit normal is <0, 1, 0>, and F has 0 y-component so those integrals are 0.