The value of $\mathop \smallint \limits_{1/e}^e \,\,\frac{{|\log \,\,x|}}{{{x^2}}}\,\,dx$, is

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The value of

\int \limits_{1/e}^e \,\,\frac{{|\log \,\,x|}}{{{x^2}}}\,\,dx

, is

View answer and explanation

Correct option: C

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

Option C,

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

, is the correct answer because it is the result of evaluating the definite integral with the absolute value of the logarithm.

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