Definition:Sine Integral Function

Definition
The sine integral function is the real function defined as:


 * $\operatorname{Si}: \R \to \R$


 * $\operatorname{Si} \left({x}\right) = \displaystyle \int_{t\to 0}^{t=x} \frac {\sin t}{t} \mathrm dt$

and $\operatorname{Si}\left({0}\right)$ is defined to be $0$.

Also see

 * Limit of Sine of X over X