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Evaluate the Integral 1e3ln3(x3)xdx\int _ { 1 } ^ { \mathrm { e } ^ { 3 } } \frac { \ln ^ { 3 } \left( \mathrm { x } ^ { 3 } \right) } { \mathrm { x } } \mathrm { dx }

Question 162

Multiple Choice

Evaluate the integral.
- 1e3ln3(x3) xdx\int _ { 1 } ^ { \mathrm { e } ^ { 3 } } \frac { \ln ^ { 3 } \left( \mathrm { x } ^ { 3 } \right) } { \mathrm { x } } \mathrm { dx }


A) 3e93 \mathrm { e } ^ { 9 }
B) 21874e3\frac { 2187 } { 4 } \mathrm { e } ^ { 3 }
C) 21874\frac { 2187 } { 4 }
D) 196834\frac { 19683 } { 4 }

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