Fresnel C
From specialfunctionswiki
The Fresnel C function is defined by the formula $$C(x)=\int_0^x \cos(t^2) \mathrm{d}t.$$ (Note in Abramowitz&Stegun it is defined differently.)
Domain coloring of Fresnel $C$.
See Also
Videos
How to integrate cos(x^2) - The Fresnel Integral C(x)