Last one on this homework!!!

$\displaystyle \int \frac{\sqrt{x^2-100}}{x^3}dx$

Here is where I have gotten to:

*I left out the first 10 steps I did, let me know if you wanna see all those.

$\displaystyle \frac{1}{100} \int \frac{tan^2\theta}{sec^2\theta} d\theta$

Am I correct to this point?

Thanks!!