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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