hi.

Work out the outward flux of the field across the boundary of the volumetric region bounded bty and . Verify your result using divergence theorem.

that's the question. i tried solve like this;

hence volume part of divergence theorem becomes;

where our volumetric region is

after this i couldn't understand, which coordinate system should i work and what should i write as bounds of integrals.

as i look to surface part of the divergence theorem, i used these substitutions;

,,,, ,,,,

where;

and

these substitutions didn't give me an answer so i need help on both sides of divergence theory.

edit: btw, sorry for grammer mistakes if there is any. my english grammer knowledge isn't good at all.