I didn't recallbut I don't think my result is that strange or difficult to compute.

The integral is $\displaystyle \int \frac{dx}{x\sqrt{1-x^2}}$. I'm sorry if I posted it before, but I don't think so (even in that case, I would now solve it differently).

I made the substitution $\displaystyle x=\sin(\theta)$ and I could reach that the integral's worth $\displaystyle \int \cot (\theta )\cdot \sec(\theta)d\theta$. I don't know how to solve this one...