$\int\frac{x+2}{\left(x^2+4x+13\right)^2}dx$
$\frac{dy}{dx}=\frac{1}{x}\:-\:1$
$\int\left(tcsc^2\left(t\right)\right)dt$
$\frac{1-\cos^{2}\beta}{\cos^{2}\beta}$
$\int x\left(5x^2+4x-12\right)dx$
$\lim_{x\to-2}\left(3-\sqrt{6x+21}\right)$
$\frac{x^9}{x^2}$
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