# A problem with an Integral

1. Jan 7, 2010

### hellais

We are having problems solving the indefinite integral of the following function:
$$\frac{dx}{\sqrt[4]{1+x^4}}$$
We tried the substitution $$t^4=x^4+1$$, but we got stuck.

Our professor tried solving it, but he also encountered difficulties.
Any suggestion is apreciated.

(wolfram alpha says that the integral is a hypergeometric function, but it must be simpler)

2. Jan 7, 2010

3. Jan 7, 2010

### tiny-tim

Hi hellais!

I think you just have to keep substituting again and again …

x2 = sinhu, a = tanhu …

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