Definition:Fresnel Cosine Integral Function/Also defined as

Fresnel Cosine Integral Function: Also defined as

The Fresnel cosine integral function can also be seen defined as:

$\ds \map {\operatorname C} x = \int_0^x \cos u^2 \rd u$

In the context of physics, the Fresnel cosine integral function is most often defined as:

$\ds \map {\operatorname C} x = \int_0^x \map \cos {\dfrac {\pi u^2} 2} \rd u$

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Fresnel integrals
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Fresnel integrals

• Weisstein, Eric W. "Fresnel Integrals." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/FresnelIntegrals.html