$\int e^{4x+2}dx$

$2\cos^2x+\cos\left(2x\right)=1$

$\left(-3y^3z\right)\left(x^3+z^3\right)$

$\lim_{x\to2}\left(\sqrt{\frac{5x^2+5}{9x+2}}\right)$

$\left(2x^4y^4\right)^4$

$\:\frac{4x-3}{5}-\frac{4x}{3}<\frac{2\left(x-13\right)}{15}$

$\frac{sin^2x}{\cos x+1}=cosx-1$