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FresnelC






Mathematica Notation

Traditional Notation









Gamma, Beta, Erf > FresnelC[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving exponential function and hyperbolic functions > Involving exp and cosh





http://functions.wolfram.com/06.33.21.0087.01









  


  










Input Form





Integrate[E^(b z) Cosh[c z] FresnelC[a z], z] == ((1 + I)/8) ((1/(b - c)) ((2 - 2 I) E^((b - c) z) FresnelC[a z] - ((1 + I) (FresnelC[(b - c - I a^2 Pi z)/(a Pi)] - E^((I (b - c)^2)/(a^2 Pi)) FresnelC[(b - c + I a^2 Pi z)/(a Pi)] + I (FresnelS[(b - c - I a^2 Pi z)/(a Pi)] + E^((I (b - c)^2)/(a^2 Pi)) FresnelS[(b - c + I a^2 Pi z)/(a Pi)])))/ E^((I (b - c)^2)/(2 a^2 Pi))) + (1/(b + c)) ((2 - 2 I) E^((b + c) z) FresnelC[a z] - ((1 + I) (FresnelC[(b + c - I a^2 Pi z)/(a Pi)] - E^((I (b + c)^2)/(a^2 Pi)) FresnelC[(b + c + I a^2 Pi z)/(a Pi)] + I (FresnelS[(b + c - I a^2 Pi z)/(a Pi)] + E^((I (b + c)^2)/(a^2 Pi)) FresnelS[(b + c + I a^2 Pi z)/(a Pi)])))/ E^((I (b + c)^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





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