Find the value of the integral
\int_2^{\infty} \frac{dx}{3 x (\ln(6 x))^2}.

Determine whether the series

\sum_{n=2}^\infty \frac{1}{3 n (\ln(6 n))^2}

is convergent. Enter C if the series is convergent, D if the series is divergent.

Determine whether the series

is convergent. Enter C if the series is convergent, D if the series is divergent.

You can earn partial credit on this problem.