$\frac{\left(\frac{2}{5}\right)}{\left(\frac{5}{2}\right)\left(\frac{5}{2}\right)}^{-2}$

$\left(x+2\right)\left(x^2-2x+4\right)$

$\int\sec^2\left(10-10x\right)dx$

$\:\int\frac{1}{\sqrt{x^2-81}}dx$

$\int3\left(y^6-4y^{-3}\right)\left(y^7+14y^{-2}-7\right)^6dx$

$4\:cos^3x-3\:cos\:x$

$\lim_{x\to\infty}\left(\frac{ln\left(x\right)}{e^x+8}\right)$