$\frac{d}{dx}\left(sin^2\left(2x^3+2x\right)\right)$

$\left(g^3+n^2\right)^2$

$\lim_{x\to\infty}\left(\frac{x^2+6x+8}{x^2-3x-10}\right)$

$\frac{y^2+1}{y^2}\:\frac{dy}{dx}=\frac{1}{x^2+1}$

$-\left(-5-4+3\right)\:-\:\left(-1+5\right)$

$\int4x^5e^{x^6-6}dx$

$\int\left(x^2\:+3x\right)\cos2x\:dx$