$\int\frac{\left(5x^2-33x+54\right)}{\left(\left(x-4\right)^2\:\left(x-2\right)\right)}dx$

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

$\frac{cos\left(a-b\right)}{\left(cosa\right)\left(sinb\right)}$

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

$\left(216x^6+125\right)$

$\left(\frac{8}{3}xy^2+\frac{1}{5}x^3y^2\right)$

$\int\frac{2x^2+x+4}{x^4+4x^2}dx$