JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Hard

1 of 1

Application +4 | -1

The value of

\int\limits_ {e^{-1}}^{e^2}\left|\frac{\log _e x}{x}\right| d x

View answer and explanation

Correct option: B

\frac{5}{2}

Option B (

\frac{5}{2}

) is correct because by splitting the integral based on the sign of

\log_e x

and using substitution, the integral evaluates to

\frac{5}{2}

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