The value of the integral $\mathop \smallint \nolimits_{ - 1}^1 \,\,\left( {x\,\, - \,\,\left[ {2x} \right]} \right)\,\,dx$, is

JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

The value of the integral

\int \nolimits_{ - 1}^1 \,\,\left( {x\,\, - \,\,\left[ {2x} \right]} \right)\,\,dx

, is

View answer and explanation

Correct option: A

\mathrm{1}

Option A (1) is correct because the integral of x from -1 to 1 is 0, and the integral of -[2x] from -1 to 1 is -(-2 - 1 + 0 + 1)/2 = 1.

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