$\int4e^{3x-1}dx$

$\frac{dy}{dx}=\left(xy+2x^3+x^5\right)$

$\left(_-10\right)+\left(-12\right)+\left(-30\right)+\left(-6\right)+\left(-14\right)+\left(-20\right)$

$\frac{dy}{dx}=\frac{x}{1-x^2}\:y\left(0\right)=29$

$\frac{d}{dx}\:\:4x^2y^3-2x^3+7y^2$

$\left(x^3-3x^2\:y+2xy^2\:\right)\cdot\:\left(x^2-xy-y^2\:\right)$

$\lim_{x\to5}\left(\frac{x^2-x-20}{x-5}\right)$