Evaluate the Integral by Making a Substitution and Then Using $$\int \frac { d x } { x \left( 36 + ( \ln x ) ^ { 2 } \right) }$$

question 90

Multiple Choice

Evaluate the integral by making a substitution and then using a table of integrals.
- $$\int \frac { d x } { x \left( 36 + ( \ln x ) ^ { 2 } \right) }$$

• A) \(\frac { 1 } { 6 } \tan ^ { - 1 } \left( \frac { \ln x } { 6 } \right) + C\)
• B) \(\frac { 1 } { 6 } \sin ^ { - 1 } \left( \frac { x } { 6 } \right) + C\)
• C) \(\frac { 1 } { 6 } \tan ^ { - 1 } \left( \frac { \mathrm { x } } { 6 } \right) + \mathrm { C }\)
• D) \(\frac { 1 } { 6 } \sin ^ { - 1 } \left( \frac { \ln x } { 6 } \right) + C\)

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