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Trigonometric integral
(section)
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{{for|simple integrals of trigonometric functions|List of integrals of trigonometric functions}} [[File:Plot of the hyperbolic sine integral function Shi(z) in the complex plane from -2-2i to 2+2i with colors created with Mathematica 13.1 function ComplexPlot3D.svg|alt=Plot of the hyperbolic sine integral function Shi(''z'') in the complex plane from β2 β 2''i'' to 2 + 2''i''|thumb|Plot of the hyperbolic sine integral function {{math|Shi(''z'')}} in the complex plane from {{math|β2 β 2''i''}} to {{math|2 + 2''i''}}]] {{Use American English|date = January 2019}} {{Short description|Special function defined by an integral}} [[Image:sine cosine integral.svg|thumb|{{math|Si(''x'')}} (blue) and {{math|Ci(''x'')}} (green) shown on the same plot.]] [[File:Integral sine in the complex plain.svg|thumb|Sine integral in the complex plane, plotted with a variant of [[domain coloring]].]] [[File:Cosc.svg|thumb|{{anchor|ci_plot_anchor}}Cosine integral in the complex plane. Note the [[branch cut]] along the negative real axis.]] In [[mathematics]], '''trigonometric integrals''' are a [[indexed family|family]] of [[nonelementary integral]]s involving [[trigonometric function]]s.
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