JEE Main 20265 Apr, Morning shiftMathematicsEasyIntegral Calculus369× since 2002The value of the integral ∫π/6π/3(4−cosec2xcos4x)dx\displaystyle\int_{\pi/6}^{\pi/3}\left(\frac{4-\operatorname{cosec}^2 x}{\cos^4 x}\right)dx∫π/6π/3(cos4x4−cosec2x)dx is:AOption A. 113\frac{11}{\sqrt3}311BOption B. 163\frac{16}{\sqrt3}316COption C. 3233\frac{32}{3\sqrt3}3332DOption D. 6433\frac{64}{3\sqrt3}3364CheckSkip · show solution