JEE Main 20241 Feb, Morning shiftMathematicsMediumIntegral Calculus369× since 2002The value of the integral ∫0π/4x dxsin4(2x)+cos4(2x)\int\limits_0^{\pi / 4} \frac{x \mathrm{~d} x}{\sin ^4(2 x)+\cos ^4(2 x)}0∫π/4sin4(2x)+cos4(2x)x dx equals :AOption A. 2π28\frac{\sqrt{2} \pi^2}{8}82π2BOption B. 2π216\frac{\sqrt{2} \pi^2}{16}162π2COption C. 2π232\frac{\sqrt{2} \pi^2}{32}322π2DOption D. 2π264\frac{\sqrt{2} \pi^2}{64}642π2CheckSkip · show solution
