$\frac{\left(x+1\right)\left(x-3\right)}{2}+\ln\left(1+x\right)+\frac{1}{y}$

$\frac{dy}{dx}=\left(x-1\right).\left(y+2\right)$

$\left(\:\frac{4}{3}0.5\:\right)^3$

$\left(3a-4b^3\right)\left(3a+4b^3\right)$

$\int_1^{\infty}\left(\frac{lnx}{\sqrt[2]{x}}\right)dx$

$-8n\left(n+7\right)-3n\left(4n+3\right)$

$\frac{dy}{dx}=2\sqrt{1-y}\cos\left(x\right)$