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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
The value of ∫xlog⁡x(log⁡x−1)dx\int x \log x(\log x-1) d x is equal to
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Correct option: B
12(xlog⁡x−x)2+C\frac{1}{2}(x \log x-x)^2+C
Option B is correct because the integral simplifies to a form that can be directly integrated, resulting in 12(xlog⁡x−x)2+C\frac{1}{2}(x \log x-x)^2+C.

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