Value of the definite integral \[ \int_{-1 / 2}^{1 / 2}\left(\sin ^{-1}\left(3 x-4 x^{3}\right)-...

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Value of the definite integral
\[
\int_{-1 / 2}^{1 / 2}\left(\sin ^{-1}\left(3 x-4 x^{3}\right)-\cos ^{-1}\left(4 x^{3}-3 x\right)\right) d x
\]
(a) 0
(b) \( -\frac{\pi}{2} \)
(c) \( \frac{7 \pi}{2} \)
(d) \( \frac{\pi}{2} \)
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