I need to integrate, then find the inverse.

The function I am working on,
$$f(x)=\frac{1}{4\sqrt{|1-x|}}, x\in[0,2]$$

I tried to solve it on [wolfram](http://www.wolframalpha.com/input/?i=1%2F%284%2asqrt%28abs%281-x%29%29). It looks pretty complicated, am I doing this right? Could I use the [0,2] bounds to make the problem easier? Thanks for any kind of help.