$\int\frac{\left(2x^2+1\right)}{\left(\left(x^2+2\right)\left(x-4\right)\right)}dx$

$x^2-8x+9=0$

$\frac{2x^4-3x^3-1}{\left(x-1\right)^2}$

$\lim_{x\to0}\left(\frac{\sqrt[3]{e^{x^3}-1}}{\sqrt[3]{x}}\right)$

$\frac{2ab}{3}+\frac{8ab}{5}$

$\lim_{x\to0}\left(\frac{\left(a+x\right)^3-a^3}{x}\right)$

$\frac{-9x^8}{\left(1+x^9\right)^2}$