$\left(4x^2+2x+1\right)+\:\left(3x^2+4x+1\right)$

$\lim_{x\to0}\left(\frac{tanx-3x}{x-sin3x}\right)$

$\left(\sec^2\left(u\right)-1\right)\left(\csc^2\left(u\right)-1\right)$

$\frac{dy}{dx}\:=\:x\cdot e^{y-x}$

$\sin^2\left(\pi x-\frac{\pi}{2}\right)=\cos^2\left(\pi\:x-\frac{\pi\:}{2}\right)$

$\int cos\left(x^2\right)dx$

$\lim_{x\to1}\left(\frac{\sqrt{2}\sin\left(\frac{\pi}{x}\right)}{5\left(x-1\right)}\right)$