Fresnel integrals are two
functions defined by:
/x
C(x) = | cos(t^2) dt
/0
and
/x
S(x) = | sin(t^2) dt
/0
Since C(infinity) = S(infinity) = sqrt(π/8), it is natural to define the complementary functions:
/inf
c(x) = sqrt(π/8) - C(x) = | cos(t^2) dt
/x
and
/inf
s(x) = sqrt(π/8) - S(x) = | sin(t^2) dt
/x