How to integrate without using trigonometric substitution: $int{dfrac{x}{sqrt{1-x^4}}}dx$?

How can I integrate the following without using Trigonometric substitution?
$$int{dfrac{x}{sqrt{1-x^4}}}dx$$
I tried substituting, $t = 1 – x^4$ but that didn’t work. The solution according to my book is
$$dfrac{1}{2}arcsin{left(x^2right)}+C$$