$\int\frac{5x^2+3}{x^2\left(9x^2+1\right)}dx$

$\lim_{x\to0}\left(\frac{\cos\left(x\right)}{x^2-1}\right)$

$\int\frac{-2y^3-6yx^2}{3x^3}dx$

$\int\left(8x^3+9\right)^{-7}\cdot96x^2dx$

$\left(c\cdot3c^2\right)^3$

$\int x^2\sqrt[10]{x+1}\:dx$

$\frac{x^8}{4}+\frac{1}{2}+\frac{1}{4x^8}$