$\left(am-b^n\right)\left(a^m+b^n\right)$

$\lim_{x\to\infty}\left(\frac{-7x-2e^{14x}}{7x^2-11x+3}\right)$

$4-sin^2x\:$

$\lim_{x\to0}\left(\frac{5-5cos\left(x\right)}{e^x-x-1}\right)$

$\:\left(3x\:2\:+\:2x\:-\:1\right)\:d$

$\frac{1}{8}\int\frac{x^3}{\sqrt{\left(x^2+\frac{9}{4}\right)^3}}dx$

$\frac{1-x}{-2\:}<2x$