/x C(x) = | cos(t^2) dt /0and

/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 /xand

/inf s(x) = sqrt(π/8) - S(x) = | sin(t^2) dt /x