Definition:Fresnel Sine Integral Function

Definition
The Fresnel sine integral function is the real function $\R \to \R$ defined by:


 * $\ds \map {\operatorname S} x = \sqrt {\frac 2 \pi} \int_0^x \sin u^2 \rd u$

Also defined as
The Fresnel sine integral function can also be seen defined as:


 * $\ds \map {\operatorname S} x = \int_0^x \sin u^2 \rd u$

Also see

 * Definition:Fresnel Cosine Integral Function