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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
∫[1log⁡x−1(log⁡x)2]dx=\int\left[\frac{1}{\log x}-\frac{1}{(\log x)^2}\right] d x=
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Correct option: B
xlog⁡x+c\frac{x}{\log x}+c
Option B (xlog⁡x+c\frac{{x}}{{\log x}}+c) is correct because the integral simplifies to this expression after integration by parts.

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