$\int\left(\frac{4x}{\left(x-6\right)}\right)dx$

$\left(6x-6\right)+\left(-4x+1\right)$

$\lim_{x\to\infty}\left(\frac{x+7}{e^x}\right)$

$\frac{1}{2}\sqrt[3]{128a}$

$\frac{2}{x+1}=\frac{3}{x-3}$

$\int\frac{y^2-y-5}{y^3+5y^2}dx$

$\int_0^{\infty}\left(\frac{22}{\left(x+1\right)^2}\right)dx$