Find the integral $\int\frac{x^2}{x^2+4}dx$

Find the integral

$\int\frac{x^3}{x^3+1}dx$

Find the integral

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

Find the integral

$\int\frac{2x^5-10x^3-2x^2+10}{x^2-5}dx$

Find the integral

$\int\frac{2x^2-x-20}{x^2+x-6}dx$

Find the integral

$\int\frac{x^2-6}{\left(x+2\right)\left(2x-1\right)}dx$

Find the integral

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

Find the integral

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