JEE Math Practice Question
The value of the integral $\int\limits_0^{\pi / 4} \frac{x \mathrm{~d} x}{\sin ^4(2 x)+\cos ^4(2 x)}$ equals :
- A.$\frac{\sqrt{2} \pi^2}{8}$
- B.$\frac{\sqrt{2} \pi^2}{16}$
- C.$\frac{\sqrt{2} \pi^2}{32}$
- D.$\frac{\sqrt{2} \pi^2}{64}$
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