Trigonometric integral

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 − 2i to 2 + 2i

Si(x) (blue) and Ci(x) (green) shown on the same plot.
Sine integral in the complex plane, plotted with a variant of domain coloring.
Cosine integral 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.


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