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

question 103

Multiple Choice

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

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

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