JEE Main 202120 Jul, Evening shiftMathematicsEasyIntegral Calculus369× since 2002If [x] denotes the greatest integer less than or equal to x, then the value of the integral ∫−π/2π/2[[x]−sinx]dx\int_{ - \pi /2}^{\pi /2} {[[x] - \sin x]dx}∫−π/2π/2[[x]−sinx]dx is equal to :AOption A. −-− π\piπBOption B. π\piπCOption C. 0DOption D. 1CheckSkip · show solution