The value of $\int \frac{\ln (x / e)}{(\ln x)^2} d x$ is

JEE MATHEMATICS MCQ: INDEFINITE INTEGRATION

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Application +4 | -1

The value of

\int \frac{\ln (x / e)}{(\ln x)^2} d x

View answer and explanation

Correct option: C

\frac{x}{\ln x}+c

Option C (

\frac{x}{\ln x}+c

) is correct because after performing integration by parts or recognizing the form of the integral, the result is

\frac{x}{\ln x}+c

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