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Evaluate ∫2∞1x(ln⁡x)3dx\int _ { 2 } ^ { \infty } \frac { 1 } { x ( \ln x ) ^ { 3 } } d x

Question 73

Multiple Choice

Evaluate ∫2∞1x(ln⁡x) 3dx\int _ { 2 } ^ { \infty } \frac { 1 } { x ( \ln x ) ^ { 3 } } d x


A) −12ln⁡2- \frac { 1 } { 2 \ln 2 }
B) −12(ln⁡2) 2- \frac { 1 } { 2 ( \ln 2 ) ^ { 2 } }
C) 12(ln⁡2) 2\frac { 1 } { 2 ( \ln 2 ) ^ { 2 } }
D) 12ln⁡2\frac { 1 } { 2 \ln 2 }

Correct Answer:

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