JEE Main 202124 Feb, Morning shiftMathematicsMediumIntegral Calculus369× since 2002If ∫−aa(∣x∣+∣x−2∣)dx=22\int\limits_{ - a}^a {\left( {\left| x \right| + \left| {x - 2} \right|} \right)} dx = 22−a∫a(∣x∣+∣x−2∣)dx=22, (a > 2) and [x] denotes the greatest integer ≤\le≤ x, then∫−aa(x+[x])dx\int\limits_{ - a}^a {\left( {x + \left[ x \right]} \right)} dx−a∫a(x+[x])dx is equal to _________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
