$\frac{dy}{dx}=\frac{18-6x^2}{\sqrt{x^3-9x+9}}$

$\int\frac{2x+6}{x^2+2x+8}dx$

$\frac{dy}{dx}=\:\frac{x+y}{x+y+2}\:$

$\int\frac{1}{x^2\left(x^2-16\right)}dx$

$\sin\left(x\right)\cdot\left(\cot\left(x\right)+1\right)-\frac{1}{\csc\left(x\right)}$

$\int_0^{\frac{\pi}{2}}\left(e^{\frac{5}{2}x}-\cos\left(x\right)\right)dx$

$f^2-4$