JEE Main 202628 Jan, Evening shiftMathematicsEasyIntegral Calculus369× since 2002Let [⋅][\cdot][⋅] denote the greatest integer function. Then ∫−π/2π/2(12(3+[x])3+[sinx]+[cosx])dx\int_{-\pi/2}^{\pi/2} \left(\frac{12(3+[x])}{3+[\sin x]+[\cos x]}\right) dx∫−π/2π/2(3+[sinx]+[cosx]12(3+[x]))dx is equal to :AOption A. 13π+113\pi+113π+1BOption B. 11π+211\pi+211π+2COption C. 15π+415\pi+415π+4DOption D. 12π+512\pi+512π+5CheckSkip · show solution
