The value of

Question:

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

  1. $2 \pi$

  2. $4 \pi$

  3. $2 \pi^{2}$

  4. $\pi^{2}$


Correct Option: , 4

Solution:

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