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

$3-2\left(3x+1\right)$

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

$-9\cos\left(\frac{17}{5}\pi\right)+7$

$\int_{\ln\left(\frac{1}{2}\right)}^0\left(\frac{e^x}{\left(1+e^{2x}\right)^{\frac{3}{2}}}\right)dx$

$4\:-\:\left(-1\right)$

$\int4x^3\cdot\frac{1}{\sqrt{1-x^8}}$