I.1.3 Triple Integrals

Condition: Find a triple integral from the function in volume \ (g \), limited by these surfaces: \ [f (x, y, z) = x^{2} y e^{-x y z} \] \ [g: \ left \ {{array} {array} {c \ geq 0, \ quad y \ gQ 1, \ quad z \ geq 1 \\ x y z \ leq 1 \ end {Array} \ Right. \]