JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

\int \frac{1}{\log _x e} d x=

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Correct option: C

x \log \left(\frac{x}{e}\right)+c

Option D (None of these) is incorrect. Option C (

x \log (\frac{x}{e})+c

) is correct because it is the result of integrating

\frac{1}{\log_x e}

using integration by parts and properties of logarithms.

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