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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫log⁡ex(1+log⁡ex)2dx=f(x)1+log⁡ex+c\int \frac{\log _e x}{\left(1+\log _e x\right)^2} d x=\frac{f(x)}{1+\log _e x}+c where f(x)f(x) is
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Correct option: A
xx
Option A (xx) is correct because after substitution and integration, f(x) is identified as x.

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