JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

The value of the integral

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

is:

View answer and explanation

Correct option: B

\frac{5}{2}

Option B (

\frac{5}{2}

) is correct because the integral is split into two parts based on the sign of

\ln x

, and then each part is evaluated separately.

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