Trigonometric integral

For simple integrals of trigonometric functions, see List of integrals of trigonometric functions.

Plot of the hyperbolic sine integral function Shi(z) in the complex plane from −2 − 2i to 2 + 2i — Plot of the hyperbolic sine integral function $Shi(z)$ in the complex plane from $-2 - 2 i$ to $2 + 2 i$

Special function defined by an integral

$Si(x)$ (blue) and $Ci(x)$ (green) shown on the same plot.

Integral sine in the complex plane, plotted with a variant of domain coloring.

Integral cosine in the complex plane. Note the branch cut along the negative real axis.

In mathematics, trigonometric integrals are a family of nonelementary integrals involving trigonometric functions.