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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫log⁡x(1+log⁡x)2dx=\int \frac{\log x}{(1+\log x)^2} d x=
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Correct option: C
x1+log⁡x+c\frac{x}{1+\log x}+c
Option C (x1+log⁡x+c\frac{{x}}{{1+\log x}}+c) is correct because the integral evaluates to this expression after substitution and simplification.

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