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Evaluate: int(x^2+1)/(x^4+x^2-1) dx...

Evaluate: `int(x^2+1)/(x^4+x^2-1) dx`

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Given,`int(x^2+1)/(x^4+x^2-1) dx`
=`int(1+1/x^2)/(x^2+1-1/x^2) dx`
=`int (1+1/x^2)/((x-1/x)^2+1) dx`
Let` x−1/x​=t` and `(1+1/x^2​)dx=dt`
=`int dt/(t^2+1)`
=`tan^(−1)t+c `
=`tan^(−1)(x−1/x​)+c`
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