$12.5\left(4x-3\right)$

$\sqrt{11arctan\left(x\right)}$

$10c^7\left(5c\right)^2$

$\int\frac{x-3}{6x^{2}+13x+5}dx$

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

$\frac{dy}{dx}=\frac{\left(x^2-9\right)\left(y-2\right)}{\left(x-1\right)\left(y+7\right)}$

$\left(x+2\right)^2-\left(2x-3\right)^2$