 #1
 42
 0
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.
Attachments

46 KB Views: 565

13.8 KB Views: 555

7.2 KB Views: 483