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.

You can do something like this:
$$\int{\sqrt{\frac{x^3 -3}{x^{11}}} \ dx}$$
Take $x^3$ common from the numerator:
$$\int{\sqrt{\frac{x^3 (1 -3x^{-3})}{x^{11}}} \ dx}$$
The integral then becomes
$$\int{x^{-4}\sqrt{(1 -3x^{-3})} \ dx}$$
Now, set $x^{-3}=t$.
Thus,
$$ x^{-4} dx = -\frac{1}{3}dt $$
You can now handle this.
