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

question 153

Multiple Choice

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

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

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