$\ln\left(\sqrt{e^{3x}}\right)$

$w^4-12w^2+36$

$\left(2x-1\right)\left(x+6\right)$

$\lim\:_{x\to\:-\infty}\left(\frac{ln\left(x^4+5\right)}{11x+2}\right)$

$\:\frac{sec\left(x\right)}{cos\left(x\right)}-1$

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

$\cos4x=-\frac{\sqrt{2}}{2}$