Evaluate the Integral To Evaluate the Integral $\int \cot ^ { - 1 } x d x$

question 10

Multiple Choice

Evaluate the integral.
-Use the formula $\int \mathrm { f } ^ { - 1 } ( \mathrm { x } ) \mathrm { dx } = \mathrm { xf } ^ { - 1 } ( \mathrm { x } ) - \int \mathrm { x } \left( \frac { \mathrm { d } } { \mathrm { dx } } \mathrm { f } ^ { - 1 } ( \mathrm { x } ) \right) \mathrm { dx }$ to evaluate the integral. $\int \cot ^ { - 1 } x d x$

• A) \(x \cot ^ { - 1 } x + \ln \sqrt { x ^ { 2 } + 1 } + C\)
• B) \(x \cot ^ { - 1 } x + \ln x + C\)
• C) \(x \cot ^ { - 1 } x + x + C\)
• D) \(x \cot ^ { - 1 } x - \ln \sqrt { x ^ { 2 } + 1 } + C\)

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