Question: The value of the integral $\int_{0}^{1} x \cot ^{-1}\left(1-x^{2}+x^{4}\right) d x$ is :-
$\frac{\pi}{4}-\frac{1}{2} \log _{\mathrm{e}} 2$
$\frac{\pi}{2}-\log _{\mathrm{e}} 2$
$\frac{\pi}{2}-\frac{1}{2} \log _{\mathrm{e}} 2$
$\frac{\pi}{4}-\log _{\mathrm{e}} 2$
Correct Option: 1
