$\lim_{x\to\infty}\left(\frac{x^3+3x^2-10x-24}{x^3+2x^2+47x+60}\right)$

$x^4+x^2-\frac{8}{x-3}$

$2x^2-6x+2x^2-x$

$4^2+6a+9$

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

$\int_4^7\left(\frac{1}{\left(x-4\right)^2}\right)dx$

$\frac{\sin^2x}{1-\cos^2\left(x\right)}=1+\cos x$