MathProblemsBank

I.11.22 Triple Integrals

Condition: in the triple integral \ (\ iiint_ {v} f (x, y, z) d v \), where \ (v- \) the area limited to these surfaces is extended in the decartion, cylindrical and spherical coordinate systems. \ (V: z^{2} = \ frac {x^{2}+y^{2}} {2}, \ quad z^{2} = x^{2}+y^{2}, \ quad z = 1 \), \ quad y = 0, \ quad \) for \ (X \ GEQ 0, \ Quad Y \ GEQ 0 \).