Need help with the following question about finding volume of improper integral

Find the exact volume of the solid created by rotating the region bounded by $f(x)=\frac{1}{\sqrt{x}\mathrm{ln}x}$ and the x-axis on the interval $[2,\infty )$. State the method of integral used.

My issue specifically is that I have no clue how to integrate the integral because I am using the disk method and the integral ends up being

${\int}_{2}^{\mathrm{\infty}}\pi \cdot \frac{1}{x(\mathrm{ln}(x){)}^{2}}\phantom{\rule{thinmathspace}{0ex}}dx$

How would I go about solving this because I am unsure how to integrate that integral.

Find the exact volume of the solid created by rotating the region bounded by $f(x)=\frac{1}{\sqrt{x}\mathrm{ln}x}$ and the x-axis on the interval $[2,\infty )$. State the method of integral used.

My issue specifically is that I have no clue how to integrate the integral because I am using the disk method and the integral ends up being

${\int}_{2}^{\mathrm{\infty}}\pi \cdot \frac{1}{x(\mathrm{ln}(x){)}^{2}}\phantom{\rule{thinmathspace}{0ex}}dx$

How would I go about solving this because I am unsure how to integrate that integral.