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

$$\int\frac{7x+3}{\left(x+4\right)\left(x-1\right)}dx$$

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

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

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

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

$$\int\frac{2x}{x^2-4}dx$$