Fresnel integral S: Integration (formula 06.32.21.0016)

FresnelS

$Mathematica Notation$

Involving the direct function

http://functions.wolfram.com/06.32.21.0016.01

Input Form

Integrate[FresnelS[t]/E^(z t), {t, 0, Infinity}] == (-(1/(2 z))) (Cos[z^2/(2 Pi)] (2 FresnelC[z/Pi] - 1) + Sin[z^2/(2 Pi)] (2 FresnelS[z/Pi] - 1)) /; Re[z] > 0

Standard Form

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MathML Form

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Rule Form

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Date Added to functions.wolfram.com (modification date)

2001-10-29