# From 0 to 1

Calculus Level 3

If the definite integral $$x^{2}$$ $$tan^{-1} x$$ with respect to $$x$$ from $$0$$ to $$1$$ can be expressed as $$\frac{\pi}{p}$$ - $$\frac{q}{r}$$ + $$\frac{ln s}{t}$$ where gcd (q, r) = 1 and p, q, r, s and t are all positive integers, $$p + q +r +s + t =?$$

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