The value of $\mathop \smallint \limits_{ - 1}^2 \,\,\frac{{\left| {\,x\,} \right|}}{x}\,\,dx$, is

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

The value of

\int \limits_{ - 1}^2 \,\,\frac{{\left| {\,x\,} \right|}}{x}\,\,dx

, is

View answer and explanation

Correct option: B

\mathrm{1}

Option B (1) is correct because the integral of |x|/x from -1 to 2 can be split into two integrals, one from -1 to 0 and another from 0 to 2, and then evaluated.

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