$\int\frac{x^3-4x^2-15x+5}{x^2-2x-8}dx$

$5a^4-10a+15a^3+20a^2$

$y'=\left(\frac{\left(2y+3\right)}{4x+5}\right)^2$

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

$\frac{4}{x}<7$

$\frac{d}{dx}\left(4x+3y=8\right)$

$\lim\:_{x\to\:\infty}\left(\frac{\pi-2\arctan\left(x\right)}{e^{\frac{3}{x}}-1}\right)$