Evaluate the Integral by Changing the Order of Integration in an Appropriate

Multiple Choice

Evaluate the integral by changing the order of integration in an appropriate way.
- $\int _ { 0 } ^ { 1000 } \int _ { \sqrt [ 3 ] { z } } ^ { 10 } \int _ { 1 } ^ { 10,001 } \frac { 1 } { x \left( y ^ { 4 } + 1 \right) } d x d y d z$

A) $\frac { \ln 10,001 } { 4 }$
B) $\frac { \ln ^ { 2 } 10,001 } { 4 }$
C) $\frac { \ln ^ { 2 } 10,001 } { 2 }$
D) $\frac { \ln 10,001 } { 2 }$