Find the integral $\int\frac{3x-5}{\left(x-1\right)\left(x^2-1\right)}dx$

Find the integral

$\int\frac{\left(3x-5\right)}{\left(x-1\right)\left(x^2-1\right)}dx$

Find the integral

$\int\frac{dx}{\sqrt{25-9x^2}}$

Find the integral

$\int\frac{dx}{x^2-10}$

Find the integral

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

Find the integral

$\int \frac { 32 x - 20 } { ( x - 1 ) ( 5 x - 3 ) } d x$

Find the integral

$\int\frac{1}{x\left(x^2+x+1\right)}dx$

Find the integral

$\int\frac{x+7}{x^2+2x-3}dx$