JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \frac{1}{x-x^3} d x=

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Correct option: D

\frac{1}{2} \log \frac{x^2}{\left(1-x^2\right)}+c

Option D,

\frac{1}{2} \log \frac{x^2}{\left(1-x^2\right)}+c

, is the correct answer because it results from partial fraction decomposition and integration of the given expression.

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