(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

The problem could be any variation of dx/(x^{2}-2x)

2. Relevant equations

∫dx/x^{2}-a^{2}= 1/2a ln ((x-a)/(x+a)) + C

3. The attempt at a solution

I understand the answer to be 1/2 ln ((x-2)/x) + C

My question is why is it just x on the bottom in the solution? Shouldnt it be x+2 since the equation states "x+a"? Similar to the way it is x-2 on the top which makes sense since the formula states "x-a". Any help is greatly appreciated.

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# Homework Help: Very quick and easy question about integrating and completing the square

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