$-5y+x+6y-8x$

$\int\left(x^{\frac{1}{3}}+2\right)^4\frac{1}{x^{\frac{3}{2}}}dx$

$\lim_{x\to0}\left(\ln\left(\left|x\right|\right)\right)$

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

$7x^2y^3-14x^3$

$\left(secx+tanx\right)\left(1-sinx\right)$

$e^xy\:\frac{dy}{dx}=e^{-y}+e^{-8x-y}$