$\left[\ln\left(\frac{100}{177.20}\right)\right]^3$

$\lim_{x\to6}\left(\frac{x^2+7x+10}{x+2}\right)$

$\frac{1}{8}\cdot\:\left(3+4\cdot\:\:cos2x+cos4x\right)=cos^4x$

$f\left(x\right)=\frac{\cot^2\left(2x\right)}{1+x^2}$

$\lim_{x\to0}\frac{5x^3-4}{x^2-3x+2}$

$y'\cdot y^2=x\cdot sin\left(x\right)$