$-x^3\:+\:3x^2\:+\:13x\:-\:15$

$\lim_{x\to6}\left(\sec\left(x\sec^2\left(x\right)-x\tan^2\left(x\right)-1\right)\right)$

$5-\left(-23\right)$

$2xy'+y=1,\:y\left(1\right)=3$

$\int\frac{3x^2-5x+1}{x\left(x+1\right)\left(x-2\right)}dx$

$\lim_{x\to infinity}\left(\left(sqrt\left(x^2+6x+5\right)-sqrt\left(x^2-2x+6\right)\right)\right)$

$\frac{dy}{dx}\left(5-2x^2\right)=3xy$