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The value of the integral $\int_0^1 x\cot^{-1}(1 - x^2 + x^4),dx$ is:
(1) $\dfrac{\pi}{2} - \dfrac{1}{2}\log_e 2$
(2) $\dfrac{\pi}{4}$
(3) $\dfrac{\pi}{2} - \log_e 2$
(4) $\dfrac{\pi}{4} - \dfrac{1}{2}\log_e 2$
BETA
