$\frac{6a^{-3}b^7c^{-9}}{10a^{10}}$

$3\sec^2x=4\tan^2x$

$\int x\:\left(\sqrt{x}2+7\right)dx$

$\int\left(\frac{1}{x^2\sqrt{6x+1}}\right)dx$

$\lim_{n\to\infty}\left(\sqrt{n^2+2n^3}-\left(n^2+n\right)\right)$

$r\:-\:10\:=\:-2\:$

$\int\left(\frac{x-tan^{-1}\left(x\right)}{x^3}\right)dx$