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## Homework Statement

I've got to integrate the following $$ \int dx =\int \frac {d\phi} {\phi \sqrt {1 - \phi²}}. $$

## Homework Equations

[/B]I already know the answer but not how to get it. The answer that I got from solution is ## x = \operatorname {arcsech}{\phi} ##.

## The Attempt at a Solution

I've used two apps to help me get this answer. First I did it using Mathway and I got:

Then, WolframAlpha told me that ## x = \operatorname {arcsech}{\phi} ## is equal to:

After that I took that first equation in the first image and with some algebraic manipulations I got:

So I don't know how to procedure beyond here. This was the closest I achieved from the final answer.