Reverse the Order of Integration and Then Evaluate the Integral $\int _ { 0 } ^ { 512 } \int _ { \sqrt [ 3 ] { x } } ^ { 8 } \frac { 1 } { y ^ { 4 } + 1 } d y d x$

question 14

Multiple Choice

Reverse the order of integration and then evaluate the integral.
- $\int _ { 0 } ^ { 512 } \int _ { \sqrt [ 3 ] { x } } ^ { 8 } \frac { 1 } { y ^ { 4 } + 1 } d y d x$

• A) \(\frac { \ln 4097 - 1 } { 4 }\)
• B) \(\ln 8 - 1\)
• C) \(\frac { \ln 4097 } { 4 }\)
• D) \(\ln 8\)

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