The value of the integral $\int\limits_0^1 {x{{\cot }^{ - 1}}(1 - {x^2} + {x^4})dx} $ is :-

Question

${\pi \over 2} - {1 \over 2}{\log _e}2$

${\pi \over 4} - {\log _e}2$

${\pi \over 4} - {1 \over 2}{\log _e}2$

${\pi \over 2} - {\log _e}2$

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