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Sinh






Mathematica Notation

Traditional Notation









Elementary Functions > Sinh[z] > Integration > Indefinite integration > Involving one direct function and elementary functions > Involving algebraic functions > Involving (a z+b)beta





http://functions.wolfram.com/01.19.21.0159.01









  


  










Input Form





Integrate[(a z + b)^(3/2) Sinh[c z], z] == (1/(4 c^2 Sqrt[(I c)/a])) ((-I) 3 a Sqrt[2 Pi] Cosh[(b c)/a] FresnelS[Sqrt[(I c)/a] Sqrt[2/Pi] Sqrt[b + a z]] - 3 a Sqrt[2 Pi] FresnelC[Sqrt[(I c)/a] Sqrt[2/Pi] Sqrt[b + a z]] Sinh[(b c)/a] + 2 Sqrt[(I c)/a] Sqrt[b + a z] (2 c (b + a z) Cosh[c z] - 3 a Sinh[c z]))










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