MathProblemsBank

I.11.26 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. \ [\ begin {array} {l} v: z = \ sqrt {9-x^{2} -y^{2}}, \ quad \ frac {9} z = x^{2}+y^{2}, \ QUAD X = 0, \\ Y = 0 \ text {for} x \ leq 0, \ quad y \ geq 0 \ end {array} \]