$2cos^2x\:+\:cosx$

$\frac{x^3+5}{x-2}$

$\int_{-\infty}^036e^xsinxdx$

$\lim_{x\to0}\left(\frac{e^{8x}-1}{x^2}\right)$

$-x^2+8x-5$

$\lim_{x\to\infty}\left(\frac{\sin\left(9x\right)}{\tan\left(2x\right)}\right)$

$\frac{csc\left(t\right)-sin\left(t\right)}{cot\left(t\right)}$