If \( \int_{-1 / \sqrt{3}}^{1 / \sqrt{3}} \frac{x^{4}}{1-x^{4}} \co...

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If \( \int_{-1 / \sqrt{3}}^{1 / \sqrt{3}} \frac{x^{4}}{1-x^{4}} \cos ^{-1}\left(\frac{2 x}{1+x^{2}}\right) d x=k \int_{0}^{1 / \sqrt{3}} \frac{x^{4}}{1-x^{4}} d x \),
\( \mathrm{P}^{17} \)
W
Then the value of \( k \) is equal to
(1) \( \pi \)
(2) \( 2 \pi \)
(3) \( -\pi \)
(4) \( 3 \pi \)
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