13.3.4.5 Fresnel Integral
The Fresnel integral is quite frequently used in optics studying Fresnel diffraction patterns and similar topics. It is also used in railway and freeway constructions. The Fresnel integrals are defined as given below.
It can be shown that and . The Fresnel integrals are obtained in Math::Cephes using the fresnl function that returns a list containing both C(x) and S(x).