# Calculus

```latex
\frac{d}{dx}\left(x^n\right)=nx^{n-1}
```

```latex
\frac{\partial^2 f}{\partial x^2}+\frac{\partial^2 f}{\partial y^2}=0
```

```latex
\int_a^b f(x)\,dx
```

```latex
\int_{-\infty}^{\infty}e^{-x^2}\,dx=\sqrt{\pi}
```

```latex
\iint_D (x^2+y^2)\,dA \qquad \iiint_V \rho(x,y,z)\,dV
```

```latex
\oint_C \mathbf{F}\cdot d\mathbf{r}
```