$\frac{dy}{dx}=0.5\cdot e^{-2\left(x-1\right)}$

$\left(\sqrt{7n}\right)^5$

$\int_1^{\infty}\left(\frac{1}{\sqrt{x^4+x^2}}\right)dx$

$\frac{x^5+x+4}{x^2+3x+2}$

$\lim_{x\to\pi}\left(\frac{\sin^2x}{x-\pi}\right)$

$\frac{8\left(\tan\left(x\right)-cot\left(x\right)\right)}{tan^2\left(x\right)-cot^2\left(x\right)}$

$l^{-1}\left(\frac{s}{s^2-4}\right)$