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

$$dfrac{1}{2}arcsin{left(x^2right)}+C$$

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

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*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

$$dfrac{1}{2}arcsin{left(x^2right)}+C$$

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