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

$\int_1^{e^2}\left(\frac{1}{x^{\sqrt{2}}}\right)dx$

$\frac{d}{dx}\frac{r}{\sqrt{r^2+7}}$

$\left(-4\right)^3+\sqrt[3]{-125}+216-\sqrt{225}$

$\lim_{x\to0}\left(1-\sqrt[3]{x}\right)^{\frac{1}{\tan\left(x\right)}}$

$\int\frac{\sqrt{x}}{\sqrt{x}-1}dx$

$\frac{d^4y}{dx^2}-2\frac{d^2y}{dx^2}+\frac{dy}{dx}=0$