$\int x\left(x^2+\frac{6}{x}+4e^x+2\sec\left(x\right)+5\sin\left(x\right)\right)dx$

$\left(2x^4-x^2-2\right):\left(x-1\right)$

$\int\left(\frac{e^u}{\left(7-e^u\right)^2}\right)du$

$\left(x-\frac{9}{4}\right)\left(x+\frac{9}{4}\right)$

$3y^{\frac{1}{\:3}}+c=x+c$

$\left(-3xy^5\right)^4$

$\frac{dy}{dx}=\frac{\left(4+x\right)}{8+x}$