$\int\frac{1}{\left(x-1\right)\sqrt{\left(x-1\right)^2-4}}dx$

$\int\frac{dx}{\left(5-4x-x^2\right)^{\frac{3}{2}}}$

$\int\frac{x}{\left(4x^2+3\right)^6}dx$

$\int\frac{x^2}{\sqrt{4+x^2}}dx$

$\int\left(dx\div x^2\sqrt{9-x^2}\right)$

$\int\frac{x^2dx}{\left(9-x^2\right)^{\frac{3}{2}}}$

$\int\frac{dx}{x\sqrt{x^{2}+36}}$

$\int\frac{\left(x^2-16\right)^{\frac{3}{2}}}{x^3}dx$