JEE MATHEMATICS MCQ: DEFINITE INTEGRATION

1 Easy

1 of 1

Application +4 | -1

\int \nolimits_0^1 \,\,\left( {\left\{ x \right\}\,\,\left[ {x + 1} \right]} \right)dx

(where

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

denotes fractional part of

x

and

\left[ {\, \cdot \,} \right]\,

denotes greatest integer of

x)

is equal to

View answer and explanation

Correct option: C

\frac{1}{2}

Option C (

\frac{1}{2}

) is correct because the integral simplifies to

\int_0^1 x dx

due to the properties of fractional and greatest integer functions.

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