Evaluate the integral using trigonometric substitution: ${\int }_{10\sqrt{2}}^{20}\frac{1}{\sqrt{x^2-100}}dx$

$\ln \left(\frac{2-\sqrt{3}}{\sqrt{2}-1}\right)$

$\ln \left(\frac{\sqrt{2}+1}{2+\sqrt{3}}\right)$

$\ln \left(\frac{\sqrt{2}-1}{2-\sqrt{3}}\right)$

$\ln \left(\frac{2+\sqrt{3}}{\sqrt{2}+1}\right)$