Solve the Problem $\int _ { 0 } ^ { 1 / 4 } \int _ { 0 } ^ { ( 1 - 4 z ) / 8 } \int _ { 0 } ^ { ( 1 - 8 y - 4 z ) / 6 } d x d y d z$

question 138

Multiple Choice

Solve the problem.
-Rewrite the integral
$\int _ { 0 } ^ { 1 / 4 } \int _ { 0 } ^ { ( 1 - 4 z ) / 8 } \int _ { 0 } ^ { ( 1 - 8 y - 4 z ) / 6 } d x d y d z$
in the order $\mathrm { dz } \mathrm { dy } \mathrm { dx }$ .

• A) \(\int _ { 0 } ^ { 1 / 6 } \int _ { 0 } ^ { ( 1 - 6 x ) / 8 } \int _ { 0 } ^ { ( 1 - 6 x - 8 y ) / 4 } d z d y d x\)
• B) \(\int _ { 0 } ^ { 1 / 6 } \int _ { 0 } ^ { ( 1 - 6 x ) / 8 } \int _ { 0 } ^ { ( 1 - 8 x - 6 y ) / 4 } d z d y d x\)
• C) \(\int _ { 0 } ^ { 1 / 4 } \int _ { 0 } ^ { ( 1 - 4 z ) / 8 } \int _ { 0 } ^ { ( 1 - 8 y - 4 z ) / 6 } d z d y d x\)
• D) \(\int _ { 0 } ^ { 1 / 4 } \int _ { 0 } ^ { ( 1 - 6 x ) / 8 } \int _ { 0 } ^ { ( 1 - 4 x - 8 y ) / 6 } d z d y d x\)

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