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The value of \( \int_{0}^{2 \pi} \frac{x \sin ^{8} x}{\sin ^{8} x+\cos ^{8} x} d x \) is equal to: [JEE Main 2020, 9 Jan…

Q1

The value of \( \int_{0}^{2 \pi} \frac{x \sin ^{8} x}{\sin ^{8} x+\cos ^{8} x} d x \) is equal to:

[JEE Main 2020, 9 Jan (Shift 1)]

a

\( 2 \pi \)

b

\( \pi^{2} \)

c

\( 4 \pi \)

d

\( 2 \pi^{2} \)

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