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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Analyzing +4 | -1
∫{(log⁡x−1)1+(log⁡x)2}2dx\int\left\{\frac{(\log x-1)}{1+(\log x)^2}\right\}^2 d x is equal to
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Correct option: B
x(log⁡x)2+1+c\frac{x}{(\log x)^2+1}+c
Option B (x(log⁡x)2+1+c\frac{x}{(\log x)^2+1}+c) is correct because it is the result of integrating the given expression using substitution and integration by parts.

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