How to integrate this integral? I had a problem with this specific integral:
$$
\int{\sqrt{\frac{x^3 -3}{x^{11}}} \ dx}
$$
Thank you ahead of time.

Sub $x=1/u$, $dx=-du/u^2$ to get
$$-\int \frac{du}{u^2} u^{11/2} \sqrt{\frac{1}{u^3}-3} = -\int du \, u^2 \sqrt{1-3 u^3}$$
Next sub $v=u^3$ and you should be able to take it from there.
