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

$\left(3x^4+2y\right)^2$

$\int\frac{x^{n-1}}{\sqrt{p+qx^n}}dx$

$\lim_{n\to\infty}\left(\frac{2n}{\sqrt{n^2+1}}\right)$

$4\:\cot x+5=9$

$\lim_{x\to0}\left(\frac{x}{cos\left(\frac{\pi}{2}-x\right)}\right)$

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