Mathematics Differential Calculus Differentiation by substitution

If \(\int {\frac{{dx}}{{x - {x^3}}} = A.} \) \(ln\left| {\frac{{{x^2}}}{{1 - {x^2}}}} \right| + c\), then the value of A is given by 

1
2
2
\(\frac{1}{2}\)
3
\(\frac{1}{{\sqrt 2 }}\)
4
\(\frac{1}{4}\)

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