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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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The value of ∫ln⁡x(1+ln⁡x)2dx\int \frac{\ln x}{(1+\ln x)^2} d x is equal to
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Correct option: C
x1+ln⁡x+c\frac{x}{1+\ln x}+c
Option C is correct because the integral can be solved by rewriting the integrand and using integration by parts, resulting in x1+ln⁡x+c\frac{x}{1+\ln x} + c.

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