$x^6+64y^6$

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

$\int\frac{x^2+5x-3}{x+2}dx$

$\lim_{x\to0}\left(\frac{x^2+16x+55}{ln\left(3x+16\right)}\right)$

$\sqrt[3]{-8r}+\sqrt[3]{125r}-\sqrt[3]{-1000r}$

$\int\frac{\left(\sqrt{x}+1\right)}{x}dx$

$\int_{-3}^3\left[\left(x^2-3\right)-\left(15-x^2\right)\right]dx$