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FresnelS






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > FresnelS[z] > Integration > Indefinite integration > Involving direct function and other elementary functions > Involving trigonometric functions > Involving sin





http://functions.wolfram.com/06.32.21.0011.01









  


  










Input Form





Integrate[(Cos[b Sqrt[z]] FresnelS[a Sqrt[z]])/Sqrt[z], z] == -((1/b) (((1/4 - I/4) (E^((I b^2)/(a^2 Pi)) Erf[((1/2 + I/2) (-b + a^2 Pi Sqrt[z]))/(a Sqrt[Pi])] - E^((I b^2)/(a^2 Pi)) Erf[((1/2 + I/2) (b + a^2 Pi Sqrt[z]))/ (a Sqrt[Pi])] - Erfi[((1/2 + I/2) (b - a^2 Pi Sqrt[z]))/ (a Sqrt[Pi])] - Erfi[((1/2 + I/2) (b + a^2 Pi Sqrt[z]))/ (a Sqrt[Pi])] - (4 + 4 I) E^((I b^2)/(2 a^2 Pi)) FresnelS[a Sqrt[z]] Sin[b Sqrt[z]]))/E^((I b^2)/(2 a^2 Pi))))










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