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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1
The value of ∫log⁡(x/e)(log⁡x)2dx\int \frac{\log (x / e)}{(\log x)^2} d x is equal to
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Correct option: C
xlog⁡x+c\frac{x}{\log x}+c
Option C is correct because the integral can be solved by rewriting the integrand and using integration by parts, resulting in xlog⁡x+c\frac{x}{\log x} + c.

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