$\frac{1-\cos\left(4x\right)}{1-\cos\left(2x\right)}$

$\lim_{x\to0}\left(\frac{5\sin\left(x\right)-5x}{14x-7e^x-7e^{-x}}\right)$

$\frac{\left(x-1\right)}{\left(cosy\right)}dx-xdy=0$

$\frac{\left(3y^3\right)\left(2y^2\right)^2}{\left(y^4\right)^3}.\left(y^3\right)$

$\int_{-2}^3\left(4x\right)dx$

$-\frac{cos\left(2x\right)+1}{sin\left(2x\right)}$

$\frac{d}{dx}2x^2+5x+xy=2$