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

$\left(x-5x^2\right)\left(\frac{1}{2x\frac{1}{2}}\right)$

$\lim_{t\to\infty}\left(\frac{e^t-t^2}{e^t-t}\right)$

$1x^2+6x+c$

$m^2+2mn+n\:^2-1$

$\arccsc\left(y\right)dx=\sec^2\left(x\right)dx$

$2b^2+b^2$