$\lim_{x\to\infty}\left(\frac{\sqrt[3]{x^2+x}-\sqrt[4]{x^4+5}}{x+1}\right)$

$\left(a^x+1\right)^2\left(a^x-1\right)^2$

$\int\frac{5x^2-5x+14}{\left(x-2\right)\cdot\left(x^2+4\right)}dx$

$x-1+-12x+10$

$\int\frac{6x+1}{x^2\left(2x-1\right)}dx$

$\frac{c^2}{c^5}$

$\sqrt[4]{256x^2y^{16}}$