\(\rm \displaystyle\int_0^1 x \tan^{-1} xdx =\)

1
\(\rm \dfrac{\pi}{4}+\dfrac{1}{2}\)
2
\(\rm \dfrac{\pi}{4}-\dfrac{1}{2}\)
3
\(\rm \dfrac{1}{2}+\dfrac{\pi}{4}\)
4
\(-\rm \dfrac{\pi}{4}-\dfrac{1}{2}\)

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