The value of the integral $\mathop \smallint \limits_{1/e}^e \left| {\log \,\,x} \right|dx$, is

$2\,\,\left( {\frac{{1 - e}}{e}} \right)$

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Hard

1 of 1

Application +4 | -1

The value of the integral

\int \limits_{1/e}^e \left| {\log \,\,x} \right|dx

, is

View answer and explanation

Correct option: A

2\,\,\left( {\frac{{e - 1}}{e}} \right)

Option A (

2\,\,\left( {\frac{{e - 1}}{e}} \right)

) is correct because the integral of the absolute value of log x from 1/e to e evaluates to this expression.

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