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Sinh






Mathematica Notation

Traditional Notation









Elementary Functions > Sinh[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving trigonometric functions > Involving cos > Involving cos(b zr+d z+e) sinh(f z+g)





http://functions.wolfram.com/01.19.21.0713.01









  


  










Input Form





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










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