Evaluate the following integral or state that it diverges.

${\displaystyle \underset{e^2}{\overset{}{}}}\frac{9dx}{xl{n}^{p}x},p>1$

Select the correct choice and, if necessary, fill in the answer box to complete your choice.

A$.$ The improper integral converges and ${\displaystyle \underset{e^2}{\overset{}{}}}\frac{9(d)x}{xl{n}^{p}x}=$

B$.$ The improper integral diverges.