# Do you know the best way to integrate this?

Calculus Level 4

$\large \int_{0}^{1} x^2 \tan^{-1} x \,dx = \dfrac{\pi}{A} -\dfrac{B-\ln C}{D}$ If the above equation holds true for positive integers $A$, $B$, $C$ and $D$ such that $D$ is minimized, find $A+B+C+D$.

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