Choose the correct answers in the value of $\int\limits_0^1\tan^{-1}\bigg(\frac{\large 2x-1}{\large 1+x-x^2}\bigg)dx\;is$\[(A)\;1\qquad(B)\;0\qquad(C)\;-1\qquad(D)\;\frac{\pi}{4}\]

Question

$(a)\;1\qquad(b)\;0\qquad(c)\;-1\qquad(d)\;\frac{\pi}{4}$