# Integration with Trigonometry

Calculus Level 4

$\large \int_{{\sqrt{2}} / {\sqrt[8]{3}}}^{\sqrt{2}}\frac{4x^{3}}{x^{8}-4} \, dx = \ln \sqrt{\frac{A+\sqrt{B}}{\sqrt{B}}}$

The equation above holds true for square-free positive integers $$A$$ and $$B$$, find $$A+B$$.

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