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

[tex]\int \frac{x^{2}}{x^{2}-1}[/tex]

2. Relevant equations

3. The attempt at a solution

I divide bottom into the top because the degree is the same and get...

[tex]\int 1-\frac{1}{x^{2}+1}[/tex]

My question is, from here, do I have to recognize the tan[tex]^{-1}[/tex]

or is it also correct to put

x-ln [tex]\left| x^{2} + 1\right|[/tex] + c ?

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# Integral of improper fraction

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