MathProblemsBank

I.19 Triple Integrals

\ (\ underline {\ text {Condition:}} \) Write the integral \ [\ IIINT_ {V} F (X, Y, Z) D X D Y D Z \] in the form of a repeated integral, where \ (V = \ LEFT {(X, Y, Z): 0 \ LEQ z z z) \ leq 4-x, y^{2} \ leq 2 x+2 \ right \} \). The choice in which system and procedure for recording is made from the consideration of the region \ (V \).