Evaluate the Integral $$\int \frac { d t } { 4 \left( \tan ^ { - 1 } t \right) \left( 1 + t ^ { 2 } \right) }$$

question 215

Multiple Choice

Evaluate the integral.
- $$\int \frac { d t } { 4 \left( \tan ^ { - 1 } t \right) \left( 1 + t ^ { 2 } \right) }$$

• A) \(4 \cot ^ { - 1 } \mathrm { t } + \mathrm { C }\)
• B) \(\frac { 1 } { 4 } \ln \left| \tan ^ { - 1 } \mathrm { t } \right| + \mathrm { C }\)
• C) \(\ln \left| 4 \tan ^ { - 1 } t \right| + C\)
• D) \(\frac { 1 } { 4 \left( \tan ^ { - 1 } t \right) ^ { 2 } } + C\)

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