The value of $\mathop \smallint \nolimits_2^4 \,\,\left\{ {\left| {x - 2} \right|\,\, + \,\,\left| {x - 3} \right|} \right\}dx\,\,{\rm{is}}$

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

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Application +4 | -1

The value of

\int \nolimits_2^4 \,\,\left\{ {\left| {x - 2} \right|\,\, + \,\,\left| {x - 3} \right|} \right\}dx\,\,\mathrm{is}

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Correct option: C

\mathrm{3}

Option C (3) is correct because the integral is evaluated by splitting the interval based on the absolute value functions and then integrating.

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