$\lim_{x\to0}\left(\frac{1}{in\left(1+x\right)}-\frac{1}{tan^{-1}2x}\right)$

$\frac{x-\frac{2}{x^2}-y}{y}$

$x^2+12\ge8x$

$\left(\frac{48ab^9}{-56a^3b^{12}c}\right)$

$\lim\:_{x\to\:2}\left(\frac{x^2-4x+4}{x^2+x-6}\right)$

$\int w\sqrt{2w-1}dw$

$\int_{\frac{1}{2}}^1\frac{2x}{\sqrt{25-9x^2}}dx$