$\frac{d}{dx}\left(tan^{-1}\left(3x^2y\right)=x+5xy^2\right)$

$\int_4^{10}\left(x^3\cos\left(x\right)\right)dx$

$\lim_{x\to0}\left(5\sec^2\left(5x\right)\right)$

$y'=3x^2+3x+10$

$y'-3xy\:=0$

$\lim_{x\to0}\left(\frac{x+2}{\sqrt{x+3}-1}\right)$

$\lim_{x\to\infty}\left(\frac{e^{2x-5}}{4x}\right)$