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Definite Integration question

2024 · 1 Feb · Shift 1 · Q32

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JEE Main
Mathematics
Definite Integration
2024 · 1 Feb · Shift 1 · Q32

Definite Integration question

2024 · 1 Feb · Shift 1 · Q32

JEE MainMathematicsDefinite IntegrationMCQ+4 / −1

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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