$\lim\:_{x\to\:-\infty\:}\left(\frac{2x^2-7x\:+3}{x^3-9x^2+5}\right)$

$y\frac{dy}{dx}=x^3+x^3y^2$

$\int x\sqrt{36-81x^2}dx$

$\lim_{n\to\infty}\left(n^{\frac{37}{9}}+n^{\frac{1}{9}}\right)$

$2g-2<2$

$\left(-3+8x\right)+\left(-2x^2-3x-5\right)$

$\sin\left(2x\right)+\:\sin\left(2y\right)=\sin\left(x+y\right)\cos\left(x-y\right)$