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Evaluate the Improper Integral Whenever It Is Convergent ∫2∞dxx(ln⁡x)2\int _ { 2 } ^ { \infty } \frac { d x } { x ( \ln x ) ^ { 2 } }

Question 103

Multiple Choice

Evaluate the improper integral whenever it is convergent. If it is divergent, state this.
- ∫2∞dxx(ln⁡x) 2\int _ { 2 } ^ { \infty } \frac { d x } { x ( \ln x ) ^ { 2 } }


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

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