Let \( \int \sec ^{-1}\left[-\sin ^{2} x\right] d x=f(x)+C \) where...

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Let \( \int \sec ^{-1}\left[-\sin ^{2} x\right] d x=f(x)+C \) where \( [y] \)
\( \mathrm{P}^{13} \)
W denotes largest integer \( \leq y \), then find. The value of \( \left[f\left(\frac{8}{\pi x}\right)\right] \) at \( x=2 \).
(1) 2
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(4) 5
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