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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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

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