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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
If ∫dxx−x3=Aln⁡∣x21−x2∣+c\int \frac{d x}{x-x^3}=A \ln \left|\frac{x^2}{1-x^2}\right|+c, then AA is equal to
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Correct option: B
1/21/2
Option B (1/2) is correct because the integral simplifies to the given form with A = 1/2 after partial fraction decomposition.

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