JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \nolimits_0^1 \,\,\left\{ x \right\}\,\,d\,\,\left\{ x \right\}

is equal to (where

\left\{ {\, \cdot \,} \right\}

denotes fractional part of

x

)

View answer and explanation

Correct option: C

\frac{1}{{2}}

Option C (

\frac{1}{{2}}

) is correct because the fractional part of x is x in the interval [0,1], and the integral of x from 0 to 1 is 1/2.

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