$$\frac{dy}{dx}=\frac{6x^2}{\:y\left(2+x^3\right)}$$

$$\frac{dy}{dx}\left(\frac{1}{\left(\frac{2}{\sqrt{y}}\right)+3}\right)$$

$$\lim_{x\to\infty}\left(x^{\frac{2}{3}}\right)$$

$$\int e^{5x}2xdx$$

$$\left(7x-3\right)\left(3x-7\right)$$

$$\left(x+1\right)^2\left(2x^2-3\right)$$

$$z=\:cosyx^2,\:x=1-u^6,\:y=t^4-2u$$