JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

Let

f\left( x \right) = x - \left[ x \right]

, for every real

x

, where [

x

]is the greatest integer less than or equal to

x

. Then,

\int \nolimits_{ - 1}^1 \,\,f\,\,\left( x \right)dx\,\,\mathrm{is}

View answer and explanation

Correct option: A

\mathrm{1}

Option A (

\mathrm{1}

) is correct because the integral of the fractional part of x over the interval [-1, 1] equals 1.

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