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Cosh






Mathematica Notation

Traditional Notation









Elementary Functions > Cosh[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving trigonometric functions > Involving cos > Involving cos(d z+e) cosh(c zr)





http://functions.wolfram.com/01.20.21.0716.01









  


  










Input Form





Integrate[Cos[d z + e] Cosh[c z^2], z] == (1/2) Sqrt[Pi/2] ((-(1/Sqrt[(-I) c])) (Cosh[d^2/(4 c) - I e] FresnelC[(d + 2 I c z)/(Sqrt[(-I) c] Sqrt[2 Pi])] + I FresnelS[(d + 2 I c z)/(Sqrt[(-I) c] Sqrt[2 Pi])] Sinh[d^2/(4 c) - I e]) + (1/Sqrt[I c]) (Cosh[d^2/(4 c) + I e] FresnelC[(-d + 2 I c z)/(Sqrt[I c] Sqrt[2 Pi])] - I FresnelS[(-d + 2 I c z)/(Sqrt[I c] Sqrt[2 Pi])] Sinh[d^2/(4 c) + I e]))










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)





2002-12-18