Evaluate the Improper Integral or State That It Is Divergent $$\int _ { 0 } ^ { \infty } \frac { 36 \left( 1 + \tan ^ { - 1 } x \right) } { 1 + x ^ { 2 } } d x$$

question 198

Multiple Choice

Evaluate the improper integral or state that it is divergent.
- $$\int _ { 0 } ^ { \infty } \frac { 36 \left( 1 + \tan ^ { - 1 } x \right) } { 1 + x ^ { 2 } } d x$$

• A) \(18 \pi\)
• B) \(18 \left( 1 + \frac { \pi } { 2 } \right) ^ { 2 }\)
• C) \(36 \ln \left( 1 + \frac { \pi } { 2 } \right)\)
• D) \(18 \pi \left( 1 + \frac { \pi } { 4 } \right)\)

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