Test each of the following series for convergence by the Integral Test. (Don't use any other tests.) If the Integral Test, by itself, can be applied to the series to determine whether it converges, enter CONV if it converges or DIV if it diverges. If the integral test cannot be applied to the series, enter NA.

(Note: this means that even if you know a given series converges by using some other test, or some other test combined with the integral test, but the integral test, all by itself, does not determine the answer then you must enter NA rather than CONV.)

1. $\displaystyle \sum_{n=1}^\infty \frac{6}{n (\ln (3 n))^{3}}$
2. $\displaystyle \sum_{n=1}^\infty \frac{\ln{(8 n)}}{n}$
3. $\displaystyle \sum_{n=1}^\infty \frac{6}{n \ln (3 n)}$
4. $\displaystyle \sum_{n=1}^\infty n e^{3 n}$
5. $\displaystyle \sum_{n=1}^\infty \frac{n + 9}{(-6)^n}$