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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: B
xlog⁡(log⁡x)−xlog⁡x+cx \log (\log x)-\frac{x}{\log x}+c
Option B (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.

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