Let [t] denote the greatest integer ≤ t. Then the value of 8.∫ - 1/2 ¹ ([2x] + |x|)dx is _ _ _ _ _ _.

Integral Calculus: JEE Main 2021 Mathematics question

JEE Main 2021 · 31 Aug, Morning shift · Q28

JEE Main 202131 Aug, Morning shiftMathematicsMediumIntegral Calculus369× since 2002

Let [t] denote the greatest integer

\le

t. Then the value of

8.\int\limits_{ - {1 \over 2}}^1 {([2x] + |x|)dx}

is ___________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2021 · 31 Aug, Morning shift · Q28

JEE Main 202131 Aug, Morning shiftMathematicsMediumIntegral Calculus369× since 2002

Let [t] denote the greatest integer

\le

t. Then the value of

8.\int\limits_{ - {1 \over 2}}^1 {([2x] + |x|)dx}

is ___________.

Your answerType your answer. Integers and decimals are accepted.