Math equations

Mathematical equations can be rendered using KaTeX.

Let $f\colon[a,b]\to\R$ be Riemann integrable. Let $F\colon[a,b]\to\R$ be $F(x)=\int_{a}^{x} f(t)\,dt$. Then $F$ is continuous, and at all $x$ such that $f$ is continuous at $x$, $F$ is differentiable at $x$ with $F'(x)=f(x)$.

$$I = \int_0^{2\pi} \sin(x)\,dx \tag{1}$$ $$f(x) = \int_{-\infty}^\infty \hat f(\xi)\,e^{2 \pi i \xi x} \,d\xi$$

Math notation

Math expressions can be added using the KaTeX notation. To add an inline equation, wrap the expression in $EXPRESSION$, eg. $\sqrt{3x-1}+(1+x)^2$. $\sqrt{3x-1}+(1+x)^2$ To create an expression block, wrap it as follow:

$$EXPRESSION$$

For example:

$$f(x) = \int_{-\infty}^\infty \hat f(\xi)\,e^{2 \pi i \xi x} \,d\xi$$

Here is an example with the Markdown and rendered result side by side: