$\mathop \smallint \nolimits_{ - 1}^1 \,\,\left| {1 - x} \right|\;\,\,dx$ is equal to

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

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Application +4 | -1

\int \nolimits_{ - 1}^1 \,\,\left| {1 - x} \right|\;\,\,dx

is equal to

View answer and explanation

Correct option: C

\mathrm{2}

Option C (2) is correct because the integral of |1-x| from -1 to 1 is calculated by recognizing that 1-x is positive over the entire interval.

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