$\lim_{x\to0}\left(x^2+1\right)^{ln\left(x\right)}$

$\int x\left(6x^2+9\right)^4dx$

$\lim_{x\to-1}\left(2x\right)$

$log\left(\frac{z^5}{\sqrt{x^3y}}\right)$

$\frac{x+1}{\left(x-4\right)}\cdot\frac{1}{\left(x+2\right)}$

$\frac{\cos\left(x\right)}{1}+\frac{\cos\left(x\right)}{\sin\left(x\right)}$

$\left(\sqrt{x}\frac{1}{x^3}\right)^n$