# A calculus problem by Tunk-Fey Ariawan

Calculus Level 5

${\int_0^1\frac{\ln\left(x^4-2x^2+5\right)-\ln\left(5x^4-2x^2+1\right)}{1-x^2}\, dx}$

Given that the integral above is equal to $$\pi^\alpha\arctan\sqrt{\dfrac{\sqrt{\beta}-\gamma}{\delta}}$$, where $$\alpha, \beta, \gamma, \delta$$ are integers with $$\beta$$ square-free.

Calculate $${\alpha+\beta+\gamma+\delta}$$.

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