Evaluate the Integral $$\int \frac { - \left( \cot ^ { - 1 } t \right) ^ { 7 } } { 1 + t ^ { 2 } } d t$$

question 119

Multiple Choice

Evaluate the integral.
- $$\int \frac { - \left( \cot ^ { - 1 } t \right) ^ { 7 } } { 1 + t ^ { 2 } } d t$$

• A) \(\sqrt { \cot ^ { - 1 } t } + C\)
• B) \(\frac { \left( \cot ^ { - 1 } t \right) ^ { 8 } } { 8 } + C\)
• C) \(7 \left( \cot ^ { - 1 } t \right) ^ { 6 } + C\)
• D) \(- 7 \left( \cot ^ { - 1 } t \right) ^ { 8 } + C\)

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