$\mathop \smallint \nolimits_{ - 2}^2 \,\,\left| {\left[ x \right]} \right|\;\,\,dx$ is equal to

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \nolimits_{ - 2}^2 \,\,\left| {\left[ x \right]} \right|\;\,\,dx

is equal to

View answer and explanation

Correct option: D

\mathrm{4}

Option D (4) is correct because the integral of the absolute value of the greatest integer function over the given interval evaluates to 4.

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