JEE MAIN - Mathematics Hindi (2016 - 9th April Morning Slot - No. 21)
यदि
$$2 \int_{0}^{1} \tan ^{-1} x d x=\int_{0}^{1} \cot ^{-1}\left(1-x+x^{2}\right) d x$$ है, तो
$$\int_{0}^{1} \tan ^{-1}\left(1-x+x^{2}\right) d x$$ बराबर है :
$$\log 4$$
$$\frac{\pi}{2}+\log 2$$
$$\log 2$$
$$\frac{\pi}{2}-\log 4$$
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