If \( I=\int(\tan x)^{1 / 3} d x \) \[ =A \log \frac{t^{4}-t^{2}+1}...

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If \( I=\int(\tan x)^{1 / 3} d x \)
\[
=A \log \frac{t^{4}-t^{2}+1}{\left(t^{2}+1\right)^{2}}+B \tan ^{-1} \frac{2 t^{2}-1}{2 \sqrt{3}}+C
\]
where \( t=\tan ^{1 / 3} x \) then
(a) \( A=1 / 4 \)
(b) \( B=\sqrt{3} / 2 \)
(c) \( A=1 / 4 \)
(d) \( B=2 \sqrt{3} \)
\( \mathrm{P} \)
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