Integration Fun

Calculus Level 3

$\large \int_{\sqrt[4]{25}}^{\sqrt[4]{36} } \dfrac{16x^3-8x}{x^4-x^2} \, dx = \ln \frac ab$

If the equation above holds true for coprime positive integers $$a$$ and $$b$$, find the sum of digits of the number $$\sqrt{ \dfrac ab }$$ written in decimal form.

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