$\frac{x^4}{x^5}\frac{y^4}{y^2}$

$\int\left(\frac{x}{sqrt\left(x^2-9\right)}\right)dx$

$\lim_{x\to\infty}\left(\frac{2x^3-2x^2+x-3}{x^3+2x^2-x+1}\right)^x$

$2\left(6^{n+1}\right)-5\left(6^n\right)-6^n$

$\sqrt{2}+\:\sqrt{2}$

$\int x\cdot9^x\:dx$

$\frac{8x^2+16x+6}{2x+1}$