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

question 169

Multiple Choice

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

• A) \(- 2 \ln | \ln | x | + 2 | + C\)
• B) \(\ln | x | + x - 2 \ln | \ln | x | + 2 | + C\)
• C) \(\ln | x | - 2 \ln | \ln | x | + 2 | + C\)
• D) \(\ln | x | - 2 \ln | x + 2 | + C\)