$\int\frac{2x-8}{\left(x+2\right)\left(x+5\right)}dx$

$\lim_{x\to\infty}\left(2x-\sqrt{4x^2+5x-3}\right)$

$\lim_{x\to\infty}\left(\frac{6x}{\sqrt{4x^2+5}}\right)$

$\left(x\:-\:7\right)\left(2x\:-\:3\right)\:$

$\frac{7}{5x}+\frac{2}{5x^2}$

$\left(\frac{-9}{\left(x+1\right)^4}\right)+\left(\frac{4}{\left(x+1\right)^3}\right)$

$\int\left(5x\sqrt{4-x^2}\right)dx$