$\left(\:x\:-5\:\right)^3$

$\lim_{x\to0}\left(\frac{\left(1-cosx\right)^2}{x^2-x^2cos^2x}\right)$

$\int x\:e^{x^2-1}dx$

$x^2+14x+1=0$

$\lim_{x\to2}\left(\frac{3\sqrt{5x-1}}{x-2}\right)$

$\frac{dx}{dt}=\sqrt{100-\frac{2x^2}{10}}$

$\int\frac{\left(a^x+b^x\right)^2}{a^xb^x}dx$