$\lim_{x\to0}\left(x+\pi\right)\cot\left(x\right)$

$\frac{1}{\left(1-5x\right)^3}$

$5+\int_8^x\left(\frac{5}{2x^2+x-3}\right)dx$

$3\left(19\right)-\left(-12\right)$

$\frac{dy}{dx}\:-y\:=\frac{11e^{-\frac{x}{3}}}{8},\:y\left(0\right)=-1$

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

$5\left(x+4\right)-3\left(x+10\right)$