MathematicsMedium210×since 2002Q3469The 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 :A2π28\frac{\sqrt{2} \pi^2}{8}82π2B2π216\frac{\sqrt{2} \pi^2}{16}162π2C2π232\frac{\sqrt{2} \pi^2}{32}322π2D2π264\frac{\sqrt{2} \pi^2}{64}642π2Check answerSkip