# Integral of The Rational Function

Calculus Level 3

Given:

$\int_0^1 \frac{x^3+x+2}{x^4+2x^2+1}dx=\frac{p}{q}+\frac{r\pi}{s}+\frac{\ln t}{u},$

where $$\,t$$ and $$\,u$$ are perfect squares. Find $$\,p+q+r+s+t+u$$.

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