If \( \int \sqrt{\frac{x}{a^{3}-x^{3}}} d x=k \sin ^{-1}\left(\frac...

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If \( \int \sqrt{\frac{x}{a^{3}-x^{3}}} d x=k \sin ^{-1}\left(\frac{x^{3 / 2}}{a^{3 / 2}}\right)+C \), then \( k \) equals to.
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