Evaluate the Improper Integral or State That It Is Divergent $$\int _ { 1 } ^ { \infty } \frac { 9 } { \left( 1 + x ^ { 2 } \right) \tan ^ { - 1 } x } d x$$

question 421

Multiple Choice

Evaluate the improper integral or state that it is divergent.
- $$\int _ { 1 } ^ { \infty } \frac { 9 } { \left( 1 + x ^ { 2 } \right) \tan ^ { - 1 } x } d x$$

• A) \(\frac { 9 } { 2 } \left( 1 + \frac { \pi } { 2 } \right) ^ { 2 }\)
• B) \(9 \ln 2\)
• C) \(9 \ln \frac { \pi } { 2 }\)
• D) \(9 \ln \left( 1 + \frac { \pi } { 2 } \right)\)

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