$\lim_{x\to0}\left(\frac{sin\left(x^3\right)}{x^3}\right)$

$\frac{1}{4}t-\frac{1}{2}=\frac{1}{8}t$

$x\frac{dy}{dx}=\frac{4y}{x}$

$\frac{m^6-y^6}{m^2-y^2}$

$\frac{d}{dx}cot^35x$

$\int_{0.5}^{2.5}\left(\frac{3}{\sqrt{3x-x^2}}\right)dx$

$\sinh\left(x+y\right)=\sinh\left(x\right)\cosh\left(y\right)+\cosh\left(x\right)y\sinh\left(y\right)$