$\int\frac{\:5x^2+12x-26}{x^2-6x+34}dx$

$\int a^{5nx}dx$

$\left(9+4a\right)\left(7+4a\right)$

$x^2-18x+81=0$

$\left(9+x^{10}\right)\frac{dy}{dx}=\frac{x^9}{y}$

$\frac{dz}{dx}=\left(z+2\right)-\left(z+2\right)^{-1}$

$\log\left(5\right)+\log\left(x^3\right)-\log\left(2x\right)=3$