$\int5xe^{8x}dx$

$\cos\left(\arcsin\left(x\right)-\arctan\left(y\right)\right)$

$6\sqrt{5}-2\sqrt{5}+2\sqrt{5}$

$\left(-3x^ny^nz\right)\left(8x^n\right)$

$\lim_{x\to2}\left(\frac{-\sqrt{x^2+12}}{x+2}\right)$

$\lim_{x\to\infty}\left(\frac{4x+3}{\sqrt{x^2-9}}\right)$

$\int\frac{16-24x}{x^3-x^2-9x+9}dx$