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JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

1 Easy
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Application +4 | -1
∫dxxln⁡xln⁡(ln⁡x)\int {\frac{{dx}}{{x\ln x\ln \left( {\ln x} \right)}}} is equal to
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Correct option: A
ln⁡∣(ln⁡(ln⁡x))∣+c\ln \left| {\left( {\ln \left( {\ln x} \right)} \right)} \right| + c
Option A (ln⁡∣(ln⁡(ln⁡x))∣+c\ln \left| {\left( {\ln \left( {\ln x} \right)} \right)} \right| + c) is correct because after two successive substitutions, the integral simplifies to this logarithmic expression.

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