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

$\int_0^a\left(a\frac{1}{2}-x\frac{1}{2}\right)^2dx$

$\sqrt{64m^3n^9}$

$2r-5r+7+r$

$\lim_{x\to\infty}\left(x-\sin\left(x\right)\right)$

$-\frac{10}{\left(x-7\right)\left(x-3\right)}$

$\int\left(3y^4\sqrt{8-3y^5}\right)dy$