## Riemann's Zeta Function

$\zeta \left(n\right)=\sum _{k=1}^{\infty }\frac{1}{{k}^{n}}$

## Fundamental Theorem of Calculus for Ordinary Integrals

${\int }_{x=a}^{y}\frac{df\left(x\right)}{dx}dx=f\left(y\right)-f\left(a\right)$

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## The Area Under a Curve

${\int }_{x=a}^{x=b}f\left(x\right)dx$

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## De Moivre's Theorem

${e}^{i\theta }=\mathrm{cos}\theta +i\mathrm{sin}\theta$

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## Math in Normal Flow

I am a paragraph of text $x+1$ with math inline.

## Fractions

$\frac{x+1}{2}$

$x+\frac{x+1}{2}$

$\frac{B}{C}+\frac{B+\frac{D}{E}}{C}+\frac{B+\frac{D+\frac{F}{G}}{E}}{C}+\frac{B}{C+\frac{D}{E+\frac{F}{G}}}$

## Operator Stretching

$\left(x+\frac{x+1}{2}\right)$

$y\left(\prod _{x}\frac{x+\frac{x+1}{2}}{x+\frac{x+1}{2}}\right)$

$\left[\begin{array}{ccc}{a}_{11}& {a}_{12}& {a}_{13}\\ {b}_{21}& {b}_{22}& {b}_{23}\\ {c}_{31}& {c}_{32}& {c}_{33}\end{array}\right]$

## Square Roots

$\sqrt{x+1}$

$\sqrt{\frac{x+1}{x+2}}$