JEE Main 202622 Jan, Morning shiftMathematicsEasyIntegral Calculus369× since 2002The value of ∫−π2π2(1[x]+4)dx\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}}\left(\frac{1}{[x]+4}\right)dx∫−2π2π([x]+41)dx, where [⋅][\cdot][⋅] denotes the greatest integer function, isAOption A. 160(π−7)\frac{1}{60}(\pi-7)601(π−7)BOption B. 760(π−3)\frac{7}{60}(\pi-3)607(π−3)COption C. 760(3π−1)\frac{7}{60}(3\pi-1)607(3π−1)DOption D. 160(21π−1)\frac{1}{60}(21\pi-1)601(21π−1)CheckSkip · show solution
