# Definition:Sine Integral Function

## Definition

The sine integral function is the real function $\Si: \R \to \R$ defined as:

$\map \Si x = \begin{cases} \displaystyle \int_{t \mathop \to 0}^{t \mathop = x} \frac {\sin t} t \rd t & : x \ne 0 \\ \vphantom x \\ 0 & : x = 0 \\ \end{cases}$

## Also see

• Results about the sine integral function can be found here.