$\frac{\left(-1\right)^{-n+1}}{n}\cdot\:\:x^n$
$5m^2-8m+3$
$sec5x-cos5x$
$x\frac{dy}{dx}=\frac{1}{2}y^2+y$
$\int\frac{1}{\left(x^2+5x+6\right)}dx$
$\lim_{x\to1}\left(\frac{cos^2\left(x-1\right)-1}{x-1}\right)$
$\frac{dy}{dx}=5-8x$
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