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

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

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 (

\mathrm{2}

) is correct because the integral of the absolute value function is evaluated by recognizing that |1-x| = 1-x on the interval [-1, 1].

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